[PRad] [EXTERNAL] Transverse charge density and the radius of the proton

Sat Mar 5 10:02:56 EST 2022

Dear Alexander,

Thank you very much for the message.

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: https://doi.org/10.1103/PhysRevC.102.015205

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.

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.

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.

[cid:image001.png at 01D83078.2F1A4850]

I have been trying make an unabridged list of the results, so please let me know if I am missing something.

Best Wishes,
Douglas

p.s.

Here is the list of references for the plot:

"https://doi.org/10.1103/RevModPhys.35.335<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=>"
  "https://doi.org/10.1103/PhysRev.141.1308<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=>"
  "http://www.jetp.ac.ru/cgi-bin/dn/e_035_04_0651.pdf<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=>"
   "https://doi.org/10.1103/PhysRevC.9.2125<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=>"
  "https://doi.org/10.1016/0550-3213(75)90514-3<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=>"
  "https://doi.org/10.1007/BF01409496<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=>"
   "https://doi.org/10.1016/0550-3213(76)90449-1<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=>"
  "https://doi.org/10.1016/0375-9474(80)90104-9<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=>"
  "https://doi.org/10.1016/0168-583X(91)96079-Z<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=>"
  "https://doi.org/10.1142/S0218301394000255<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=>"
  "https://doi.org/10.1016/0375-9474(95)00339-8<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=>"
  "https://doi.org/10.1016/S0370-2693(00)00316-6<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=>"
  "https://doi.org/10.1016/S0370-2693(01)01285-0<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=>"
  "https://doi.org/10.1016/j.physletb.2003.09.092<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=>"
  "https://doi.org/10.1103/PhysRevC.70.068202<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=>"
  "https://doi.org/10.1103/PhysRevC.72.057601<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=>"
  "https://doi.org/10.1103/PhysRevC.75.035202<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=>"
  "https://doi.org/10.1103/PhysRevLett.105.242001<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=>"
  "https://doi.org/10.1103/PhysRevD.82.113005<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=>"
  "https://doi.org/10.1016/j.nuclphysa.2010.05.054<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=>"
  "https://doi.org/10.1103/PhysRevC.84.055204<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=>"
  "https://doi.org/10.1016/j.physletb.2011.10.002<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=>"
  "https://doi.org/10.1016/j.ppnp.2012.01.013<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=>"
  "https://doi.org/10.1016/j.ppnp.2012.01.014<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=>"
   "https://doi.org/10.1140/epja/i2012-12151-1<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=>"
  "https://doi.org/10.1103/PhysRevC.90.054334<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=>"
  "https://doi.org/10.1103/PhysRevD.91.014023<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=>"
  "https://doi.org/10.1063/1.4921430<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=>"
  "https://doi.org/10.1103/PhysRevD.92.013013<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=>"
  "https://doi.org/10.1103/PhysRevC.93.065207<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=>"
  "https://doi.org/10.1103/PhysRevC.93.055207<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=>"
  "https://doi.org/10.1103/PhysRevC.95.035203<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=>"
  "https://doi.org/10.1103/PhysRevC.99.044303<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=>"
  "https://doi.org/10.1103/PhysRevC.99.055202<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=>"
  "https://doi.org/10.1038/s41586-019-1721-2<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=>"
  "https://doi.org/10.1103/PhysRevC.102.035203<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=>"
  "https://doi.org/10.1016/j.nuclphysa.2020.121767<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=>"
  "https://doi.org/10.1140/epja/s10050-021-00414-x<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=>"
  "https://doi.org/10.1140/epja/s10050-021-00389-9<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=>"
  "https://doi.org/10.1016/j.physletb.2021.136254<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=>"
  "https://doi.org/110.1103/PhysRevLett.127.092001<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=>"
  "https://doi.org/10.1103/PhysRevLett.128.052002<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=>"
  "https://doi.org/10.1103/PhysRevD.105.054004<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=>"

From: PRad <prad-bounces at jlab.org> on behalf of Alexander Gramolin <gramolin at gmail.com>
Date: Friday, March 4, 2022 at 5:04 PM
To: "prad at jlab.org" <prad at jlab.org>
Subject: [PRad] [EXTERNAL] Transverse charge density and the radius of the proton

Dear Colleagues,

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 https://doi.org/10.1103/PhysRevD.105.054004<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=>). 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 (https://arxiv.org/abs/2102.13022<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=>). Please don't hesitate to contact me if you have any questions or comments.

Best regards,
Alexander Gramolin

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