[PRad] [EXTERNAL] Fwd: Nuclear deformation effects on charge radius measurements of the proton and deuteron

[Haiyan Gao]

FYI. This is the paper I mentioned after the Hadron workshop in China. 
-Haiyan



-------- Forwarded Message --------
Subject: 	Nuclear deformation effects on charge radius measurements of 
the proton and deuteron
Date: 	Thu, 31 Oct 2019 07:19:39 -0400
From: 	Jay Benesch <benesch at jlab.org>
To: 	Douglas Higinbotham <doug at jlab.org>, 'Haiyan Gao' <gao at phy.duke.edu>



https://urldefense.proofpoint.com/v2/url?u=https-3A__arxiv.org_abs_1910.13916&d=DwICaQ&c=imBPVzF25OnBgGmVOlcsiEgHoG1i6YHLR0Sj_gZ4adc&r=9kMOBxHrq6Bk3WOznenGTw&m=ql0yshPHeiWQNQJmGwLDFmM92GtQgLTtYSePA4yytUc&s=pZAS8oe0eItOjLoNHCElGR82zcOF0WI6hAJBybscRX0&e= 

Nuclear deformation effects on charge radius measurements of the proton 
and deuteron
Yonghui Lin, Bingsong Zou
(Submitted on 30 Oct 2019)

Up to now, all charge radius measurements of the proton and deuteron 
assumed uniform spheroidal charge distribution. We investigate the 
nuclear deformation effects on these charge radius measurements by 
assuming a uniform prolate charge distribution for the proton and 
deuteron. We solve the energy levels of the corresponding muonic and 
electricatoms with such deformed nucleus and present how the purely 
quadruple deformation of proton and deuteron affects their Lamb shifts. 
The numerical results suggest that the deformation of proton and 
deuteron leads to that the charge radius extracted from the electronic 
measurement should be smaller than the corresponding one in the muonic 
measurement which assumed uniform spheroidal charge distribution. If the 
central values of newest measurements for the proton are adopted, the 
proton would have a prolate structure with the 0.91 fm long axis and 
0.73 fm short axis. Further improved precise charge radius measurements 
of the proton and deuteron will help us to pin down their shape deformation.

Comments: 13pages, 4figures
Subjects: High Energy Physics - Phenomenology (hep-ph); Nuclear 
Experiment (nucl-ex); Nuclear Theory (nucl-th)
Cite as: arXiv:1910.13916 [hep-ph]
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