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<p>FYI. This is the paper I mentioned after the Hadron workshop in
China. -Haiyan<br>
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<th valign="BASELINE" nowrap="nowrap" align="RIGHT">Subject:
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<td>Nuclear deformation effects on charge radius
measurements of the proton and deuteron</td>
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<th valign="BASELINE" nowrap="nowrap" align="RIGHT">Date: </th>
<td>Thu, 31 Oct 2019 07:19:39 -0400</td>
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<th valign="BASELINE" nowrap="nowrap" align="RIGHT">From: </th>
<td>Jay Benesch <a class="moz-txt-link-rfc2396E" href="mailto:benesch@jlab.org"><benesch@jlab.org></a></td>
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<th valign="BASELINE" nowrap="nowrap" align="RIGHT">To: </th>
<td>Douglas Higinbotham <a class="moz-txt-link-rfc2396E" href="mailto:doug@jlab.org"><doug@jlab.org></a>, 'Haiyan Gao'
<a class="moz-txt-link-rfc2396E" href="mailto:gao@phy.duke.edu"><gao@phy.duke.edu></a></td>
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<a class="moz-txt-link-freetext" href="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=">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=</a>
<br>
Nuclear deformation effects on charge radius measurements of the
proton and deuteron<br>
Yonghui Lin, Bingsong Zou<br>
(Submitted on 30 Oct 2019)<br>
<br>
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.<br>
<br>
Comments: 13pages, 4figures<br>
Subjects: High Energy Physics - Phenomenology (hep-ph); Nuclear
Experiment (nucl-ex); Nuclear Theory (nucl-th)<br>
Cite as: arXiv:1910.13916 [hep-ph]<br>
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