<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<meta name="Generator" content="Microsoft Word 15 (filtered medium)">
<!--[if !mso]><style>v\:* {behavior:url(#default#VML);}
o\:* {behavior:url(#default#VML);}
w\:* {behavior:url(#default#VML);}
.shape {behavior:url(#default#VML);}
</style><![endif]--><style><!--
/* Font Definitions */
@font-face
{font-family:"Cambria Math";
panose-1:2 4 5 3 5 4 6 3 2 4;}
@font-face
{font-family:Calibri;
panose-1:2 15 5 2 2 2 4 3 2 4;}
@font-face
{font-family:"Times New Roman \(Body CS\)";
panose-1:2 11 6 4 2 2 2 2 2 4;}
@font-face
{font-family:-webkit-standard;
panose-1:2 11 6 4 2 2 2 2 2 4;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
{margin:0in;
font-size:11.0pt;
font-family:"Calibri",sans-serif;}
a:link, span.MsoHyperlink
{mso-style-priority:99;
color:blue;
text-decoration:underline;}
span.EmailStyle18
{mso-style-type:personal-reply;
font-family:"Calibri",sans-serif;
color:windowtext;}
.MsoChpDefault
{mso-style-type:export-only;
font-size:10.0pt;}
@page WordSection1
{size:8.5in 11.0in;
margin:1.0in 1.0in 1.0in 1.0in;}
div.WordSection1
{page:WordSection1;}
--></style><!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="1026" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]-->
</head>
<body lang="EN-US" link="blue" vlink="purple" style="word-wrap:break-word">
<div class="WordSection1">
<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt">Thank you for the github link and I fixed the spelling of Grazcyk and updated my own github:
<a href="https://github.com/dhiginbotham/ScatteringResults">https://github.com/dhiginbotham/ScatteringResults</a><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt">It will take me some time, but I will carefully work through what you have done.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt">I will note that Alarcon & Weiss also extract the radius without extrapolation using their Chirally Enhanced Effective Field Theory model with two free physics parameters. That would be another interesting
model for you to compare to when you have time. Also coded up in Python:<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><a href="https://journals.aps.org/prc/abstract/10.1103/PhysRevC.102.035203">https://journals.aps.org/prc/abstract/10.1103/PhysRevC.102.035203</a> and in the supplemental material.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt">Best Wishes,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt">Douglas<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt">.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
<div style="border:none;border-top:solid #B5C4DF 1.0pt;padding:3.0pt 0in 0in 0in">
<p class="MsoNormal"><b><span style="font-size:12.0pt;color:black">From: </span></b><span style="font-size:12.0pt;color:black">Alexander Gramolin <gramolin@gmail.com><br>
<b>Date: </b>Saturday, March 5, 2022 at 1:41 PM<br>
<b>To: </b>Douglas Higinbotham <doug@jlab.org><br>
<b>Cc: </b>"prad@jlab.org" <prad@jlab.org><br>
<b>Subject: </b>Re: [PRad] [EXTERNAL] Transverse charge density and the radius of the proton<o:p></o:p></span></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<div>
<p class="MsoNormal">Dear Douglas,<br>
<br>
Thank you for your interest in our work and also for adding our results to your plot!<br>
<br>
Indeed, by making different choices when fitting (in our case, by choosing different orders N of the form factor expansion) one can get quite different radii. For this exact reason, we used cross-validation to determine that the N = 5 fit provides the best
balance between bias and variance for the Mainz dataset. We also showed that adding regularization to orders N > 5 bring them into agreement with the N = 5 fit.<br>
<br>
Unfortunately, we don't have a bandwidth right now for studying other form factor models, but we will make our full Python analysis code publicly available in the next week or so. In fact, most of our code is already available at
<a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__github.com_gramolin_radius&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=Wfya2_PGWE9InhqaY3oelALEgHADDGfmyiYErUZlKb-8oxEUyV97Efeb-iVlmsQ3&s=XQyTWhhIAp982Y5sHhwwJ-_bwC12FsoSzzAogfG2x00&e=">
https://github.com/gramolin/radius</a>. In particular, the function to calculate F_1 and F_2 that you asked for can be found in the file "models.py" (function "calc_ffs"). Please let me know if you have any questions about this code.<br>
<br>
Your plot for the scattering-based radii is very comprehensive, and I can't think of any results that you missed. I only noticed a typo in one of the last names ("Graczky" instead of "Graczyk").<br>
<br>
One final comment: I genuinely believe that our work is something more than yet another fit of the Mainz data. We argue that the problem of extrapolation to zero Q^2 can be avoided by considering the transverse charge density and using the entire available
Q^2 range. Moreover, we suggest a simple and straightforward way of dealing with the bias-variance trade-off. I hope that the scattering community considers these important points rather than simply counting our numerical result as a "vote" for the larger
proton.<br>
<br>
Best regards,<br>
Alexander<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<div>
<p class="MsoNormal">On Sat, Mar 5, 2022 at 10:03 AM Douglas Higinbotham <<a href="mailto:doug@jlab.org">doug@jlab.org</a>> wrote:<o:p></o:p></p>
</div>
<blockquote style="border:none;border-left:solid #CCCCCC 1.0pt;padding:0in 0in 0in 6.0pt;margin-left:4.8pt;margin-right:0in">
<div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt">Dear Alexander,</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt">Thank you very much for the message.</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt">There was a paper we did a while ago that showed one can get a large or small radius from the full Mainz data set simply by varying analytic choices
made in the fitting: <a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevC.102.015205&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=Wfya2_PGWE9InhqaY3oelALEgHADDGfmyiYErUZlKb-8oxEUyV97Efeb-iVlmsQ3&s=GYltp7NfAdcmg8y0xo8hYslnonJGabXeVW7mq-C5XnA&e=" target="_blank">
https://doi.org/10.1103/PhysRevC.102.015205</a> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt">I was curious if your N=5 function (fit – true) would work with the “small radius” polynomial function found in that work as well as it does with
the original Bernauer. I can send you the numbers if you would like to try it.</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt">Also, could you send me your code for calculating your F1 and F2? I use Python instead of Mathematica but it is usually straight forward to map
one to the other. </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt">And finally, I have added your result to my list of electron scattering proton radius extractions. For simplicity I have taken your three uncertainties
in quadrature. Of course, at this point CODATA-2014 is out of data as they have shifted to the uH point, but I keep it for reference.</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt"><img border="0" width="480" height="499" style="width:5.0in;height:5.1979in" id="gmail-m_-6243694734105177325Picture_x0020_1" src="cid:17f5b5e6c9e4cff311"></span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt">I have been trying make an unabridged list of the results, so please let me know if I am missing something.</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt">Best Wishes,</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt">Douglas</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt">p.s.</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt">Here is the list of references for the plot:</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_RevModPhys.35.335&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=-MI4ZTWgo4-8HqJWibAuWcKNqwT7zv5q2mejl3ONr2g&e=" target="_blank" title="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_RevModPhys.35.335&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=-MI4ZTWgo4-8HqJWibAuWcKNqwT7zv5q2mejl3ON"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/RevModPhys.35.335</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRev.141.1308&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=_wTQBuZtWugwUNFtM8kcEwN4IbeSln4FjN96E1y1yrI&e=" target="_blank" title="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRev.141.1308&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=_wTQBuZtWugwUNFtM8kcEwN4IbeSln4FjN96E1y1y"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRev.141.1308</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=http-3A__www.jetp.ac.ru_cgi-2Dbin_dn_e-5F035-5F04-5F0651.pdf&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=hP1lR972uw1l90BZH6IegjrdfEzY_PxZaMRZMfYnpV0&e=" target="_blank" title="https://urldefense.proofpoint.com/v2/url?u=http-3A__www.jetp.ac.ru_cgi-2Dbin_dn_e-5F035-5F04-5F0651.pdf&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=hP1lR972uw1l90BZH6Iegjr"><span style="font-family:"-webkit-standard",serif">http://www.jetp.ac.ru/cgi-bin/dn/e_035_04_0651.pdf</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevC.9.2125&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=5UsLzpqQy6CBmse_L3k4-gOUMJt35iTCTDwg18CanKo&e=" target="_blank" title="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevC.9.2125&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=5UsLzpqQy6CBmse_L3k4-gOUMJt35iTCTDwg18CanK"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRevC.9.2125</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_0550-2D3213-2875-2990514-2D3&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=FeelKBbyEg7UA0V3ZT_fSVZMhhpLNxbTnvPDcVyThn0&e=" target="_blank" title="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_0550-2D3213-2875-2990514-2D3&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=FeelKBbyEg7UA0V3ZT_fSVZMhhpLN"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/0550-3213(75)90514-3</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1007_BF01409496&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=GIFrrz8Zfz0YuZU4egHfAKfUrCf9L1hMEJrRCcCZ3jo&e=" target="_blank" title="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1007_BF01409496&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=GIFrrz8Zfz0YuZU4egHfAKfUrCf9L1hMEJrRCcCZ3jo&e="><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1007/BF01409496</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_0550-2D3213-2876-2990449-2D1&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=9tbEGXWJbxhg19EzBIqRKKWGj8PmgcNkKEQA1WwA7z4&e=" target="_blank" title="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_0550-2D3213-2876-2990449-2D1&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=9tbEGXWJbxhg19EzBIqRKKWGj8Pmg"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/0550-3213(76)90449-1</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_0375-2D9474-2880-2990104-2D9&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=0xUXio7NDG9C-tbmlyODLYg131UkVTn6OAuQleIHBG4&e=" target="_blank" title="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_0375-2D9474-2880-2990104-2D9&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=0xUXio7NDG9C-tbmlyODLYg131UkV"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/0375-9474(80)90104-9</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_0168-2D583X-2891-2996079-2DZ&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=N-VUZkXxth18QYF3WFJ5I7oBkDBv-m5KWeQBv3T-wjk&e=" target="_blank" title="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_0168-2D583X-2891-2996079-2DZ&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=N-VUZkXxth18QYF3WFJ5I7oBkDBv-"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/0168-583X(91)96079-Z</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1142_S0218301394000255&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=kz4OSqMV_4AOZc7oWA7W4V_sIeqrX1CMIeJnNRSZpbY&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1142/S0218301394000255</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_0375-2D9474-2895-2900339-2D8&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=locmhvR_FH3FJW2xauSxUcOR1pToroJNmOAEQHI1oqU&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/0375-9474(95)00339-8</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_S0370-2D2693-2800-2900316-2D6&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=eB0p-XuNNOg8ek_6skFocHatBs8N7B2M7row06m7zHE&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/S0370-2693(00)00316-6</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_S0370-2D2693-2801-2901285-2D0&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=s-ii6vcsOG2AatXZPzW_IIB2YpH51cyrBJNxNZ3ARcM&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/S0370-2693(01)01285-0</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_j.physletb.2003.09.092&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=-CqiNiZCapDD6uZ_hoN6NY0uFLmsaQ-AXv4rvwNqIMs&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/j.physletb.2003.09.092</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevC.70.068202&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=K4lFplIsB1Iub2pqPv8WiCc2vMDpXLQ7EbfP_-FSqIU&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRevC.70.068202</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevC.72.057601&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=e2_ru_rjYVLGWjiA5WnAxCg_6dmhWpCXENiXRbGPXaU&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRevC.72.057601</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevC.75.035202&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=5V_1PSVai-Mcr5-OmQ768fCniJsnEYhpS0wX3IQB5qM&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRevC.75.035202</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevLett.105.242001&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=Zi2o9r8xXwlhRb0cVQdRPSN0UtHhVQk819cEgRqFc78&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRevLett.105.242001</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevD.82.113005&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=kgwB2b3s6aMNniyzhcY7bYBmJMxrwO6rJR9iJpKAoeI&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRevD.82.113005</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_j.nuclphysa.2010.05.054&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=E_5s9XwPqFoauI1QoeXcPjHnoClMU5VytRYBgIxBuS8&e=" target="_blank" title="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_j.nuclphysa.2010.05.054&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=E_5s9XwPqFoauI1QoeXcPjHnoClMU5VytR"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/j.nuclphysa.2010.05.054</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevC.84.055204&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=xCcgjh32CnHvfpOtGK9VP4ngbOcBWHwqqkpI2uzET_o&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRevC.84.055204</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_j.physletb.2011.10.002&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=FiK_q3cCuqOiNjDGYMgQHXahY_JjRE39K8-eB166Neo&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/j.physletb.2011.10.002</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_j.ppnp.2012.01.013&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=KKy16hT8nVqk_C7co6wZWjqMXo4g51pLbGGMCIPiVBU&e=" target="_blank" title="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_j.ppnp.2012.01.013&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=KKy16hT8nVqk_C7co6wZWjqMXo4g51pLbGGMCIP"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/j.ppnp.2012.01.013</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_j.ppnp.2012.01.014&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=uzx2Dd-GwFfBfabr9zaGJ08uoTOo0Cvr58hY83JbHWE&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/j.ppnp.2012.01.014</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1140_epja_i2012-2D12151-2D1&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=RuzABnDQN9oLqPCuSoHVSFWIzQyGg2kzV1t9VF4Av18&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1140/epja/i2012-12151-1</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevC.90.054334&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=a88BYaIXOPt8UKVSt-JDKzsxcMOVev773U7WAwGcYZ0&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRevC.90.054334</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevD.91.014023&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=sP29LDhAybLtFTj20Hauw8RLQhdppeXiu9E8ZnFJzeU&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRevD.91.014023</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1063_1.4921430&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=1aGt3w9ut1gNxfoxckm6bKa10u271C3ky25Hx69C4_A&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1063/1.4921430</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevD.92.013013&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=6-8rxYxsP5hYziuDnIFocRYa-K6i3yIzRpVJRkTx0gE&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRevD.92.013013</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevC.93.065207&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=9DQTi9ROTkq7OVTXncxhx596z5ynWNMVI2s1m8YUNqI&e=" target="_blank" title="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevC.93.065207&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=9DQTi9ROTkq7OVTXncxhx596z5ynWNMVI2s1m8Y"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRevC.93.065207</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevC.93.055207&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=fpbRZHG6F9z8hNyhKQIQLcacs8iKZRsGOGM2L5wCR9M&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRevC.93.055207</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevC.95.035203&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=5uddKH1Rwb3WUWj1CTZj6XBsv5rGzf7lnx3UV9ErwyE&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRevC.95.035203</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"
</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevC.99.044303&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=EITKef73Of15dGxT8PDH0ggIGtgEBOEybzNEhxWJU9o&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRevC.99.044303</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"
</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevC.99.055202&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=wT7daXzFQ7R1POTEcSyROW5ShlwfNe7eSFYoieumEl8&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRevC.99.055202</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"
</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1038_s41586-2D019-2D1721-2D2&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=rHyQQdNaQcEMIM9GJvdrOmqJYni7qM7LQ6ssjfLrRjI&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1038/s41586-019-1721-2</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"
</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevC.102.035203&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=dthJAp69izSFr93e5vrHQE7L4u1VRABhkPnRMBFxzqo&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRevC.102.035203</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"
</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_j.nuclphysa.2020.121767&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=YqZLtvoTWn9fORY6XIwRtXiMhxMBZ286Mh9lBBwCBdo&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/j.nuclphysa.2020.121767</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1140_epja_s10050-2D021-2D00414-2Dx&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=zgRDOcgPoKeBTi_xMYDSC_CoMIwClyRzwzcrUKwjOdI&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1140/epja/s10050-021-00414-x</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">" </span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1140_epja_s10050-2D021-2D00389-2D9&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=J5YpeNMTWJM03fRq5ru1qVw_dgcejFc_7iWUpWbjOi8&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1140/epja/s10050-021-00389-9</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_j.physletb.2021.136254&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=lCyex4DnUX4OwxV5B0gAObJ7pJ4Z7ePFTwk3hHPGTLE&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/j.physletb.2021.136254</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_110.1103_PhysRevLett.127.092001&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=T61STYnPJL-uxMUgZHUfDihWqO22G2D2Rk5UYY9kjZ0&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/110.1103/PhysRevLett.127.092001</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevLett.128.052002&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=ekFbXe3xmM0xuaEIfx2Nx7H7rGbuqCpxs6yJ-ASCphE&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRevLett.128.052002</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevD.105.054004&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=ApbF_Oh8q5sJF8AZwdNlsqIJQanbdPGKOeuw9lpxlHo&e=" target="_blank"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRevD.105.054004</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt"> </span><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-size:12.0pt"> </span><o:p></o:p></p>
<div style="border:none;border-top:solid windowtext 1.0pt;padding:3.0pt 0in 0in 0in;border-color:currentcolor currentcolor">
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><b><span style="font-size:12.0pt;color:black">From:
</span></b><span style="font-size:12.0pt;color:black">PRad <<a href="mailto:prad-bounces@jlab.org" target="_blank">prad-bounces@jlab.org</a>> on behalf of Alexander Gramolin <<a href="mailto:gramolin@gmail.com" target="_blank">gramolin@gmail.com</a>><br>
<b>Date: </b>Friday, March 4, 2022 at 5:04 PM<br>
<b>To: </b>"<a href="mailto:prad@jlab.org" target="_blank">prad@jlab.org</a>" <<a href="mailto:prad@jlab.org" target="_blank">prad@jlab.org</a>><br>
<b>Subject: </b>[PRad] [EXTERNAL] Transverse charge density and the radius of the proton</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">Dear Colleagues,<br>
<br>
I'd like to bring your attention to our latest research on the proton charge radius that has been published today in Physical Review D (see
<a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevD.105.054004&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=V3XNY-MaMKN2LuAaTdObrA&m=dfX8coqshXUbElaF_oWnz2EbQ4pNx-8RkX-tik-kc9NtcV2sQ9B2IF9LucQwSwqB&s=LK4nhe9UhLDNXS2iQ5dRecwP6GHu1fsdDtPyp2vdLzU&e=" target="_blank">
https://doi.org/10.1103/PhysRevD.105.054004</a>). This result may be of some interest for the PRad-II experiment and analysis. Note that there are several new appendices compared to the preprint version posted on arXiv a year ago (<a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__arxiv.org_abs_2102.13022&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=V3XNY-MaMKN2LuAaTdObrA&m=dfX8coqshXUbElaF_oWnz2EbQ4pNx-8RkX-tik-kc9NtcV2sQ9B2IF9LucQwSwqB&s=KZAfbfScAj9q5XWgFjWrYvNK7bH-U63zfwpCZ5hiaug&e=" target="_blank">https://arxiv.org/abs/2102.13022</a>).
Please don't hesitate to contact me if you have any questions or comments.<br>
<br>
Best regards,<o:p></o:p></p>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">Alexander Gramolin<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
</div>
</div>
</div>
</blockquote>
</div>
</div>
</div>
</body>
</html>