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Measurement of the proton form factor by studying $e^{+} e^{-}\rightarrow p\bar{p}$

Using data samples collected with the BESIII detector at the BEPCII collider, we measure the Born cross section of $e^{+}e^{-}\rightarrow p\bar{p}$ at 12 center-of-mass energies from 2232.4 to 3671.0 MeV. The corresponding effective electromagnetic form factor of the proton is deduced under the assumption that the electric and magnetic form factors are equal $(|G_{E}|= |G_{M}|)$. In addition, the ratio of electric to magnetic form factors, $|G_{E}/G_{M}|$, and $|G_{M}|$ are extracted by fitting the polar angle distribution of the proton for the data samples with larger statistics, namely at $\sqrt{s}=$ 2232.4 and 2400.0 MeV and a combined sample at $\sqrt{s}$ = 3050.0, 3060.0 and 3080.0 MeV, respectively. The measured cross sections are in agreement with recent results from BaBar, improving the overall uncertainty by about 30\%. The $|G_{E}/G_{M}|$ ratios are close to unity and consistent with BaBar results in the same $q^{2}$ region, which indicates the data are consistent with the assumption that $|G_{E}|=|G_{M}|$ within uncertainties.

preprint2015arXivOpen access
M. AblikimM. N. AchasovX. C. AiO. AlbayrakM. AlbrechtD. J. AmbroseA. AmorosoF. F. AnQ. AnJ. Z. BaiR. Baldini FerroliY. BanD. W. BennettJ. V. BennettM. BertaniD. BettoniJ. M. BianF. BianchiE. BogerO. BondarenkoI. BoykoR. A. BriereH. CaiX. CaiO. CakirA. CalcaterraG. F. CaoS. A. CetinJ. F. ChangG. ChelkovG. ChenH. S. ChenH. Y. ChenJ. C. ChenM. L. ChenS. J. ChenX. ChenX. R. ChenY. B. ChenH. P. ChengX. K. ChuG. CibinettoD. Cronin-HennessyH. L. DaiJ. P. DaiA. DbeyssiD. DedovichZ. Y. DengA. DenigI. DenysenkoM. DestefanisF. De MoriY. DingC. DongJ. DongL. Y. DongM. Y. DongS. X. DuP. F. DuanJ. Z. FanJ. FangS. S. FangX. FangY. FangL. FavaF. FeldbauerG. FeliciC. Q. FengE. FioravantiM. FritschC. D. FuQ. GaoY. GaoZ. GaoI. GarziaC. GengK. GoetzenW. X. GongW. GradlM. GrecoM. H. GuY. T. GuY. H. GuanA. Q. GuoL. B. GuoY. GuoY. P. GuoZ. HaddadiA. HafnerS. HanY. L. HanX. Q. HaoF. A. HarrisK. L. HeZ. Y. HeT. HeldY. K. HengZ. L. HouC. HuH. M. HuJ. F. HuT. HuY. HuG. M. HuangG. S. HuangH. P. HuangJ. S. HuangX. T. HuangY. HuangT. HussainQ. JiQ. P. JiX. B. JiX. L. JiL. L. JiangL. W. JiangX. S. JiangJ. B. JiaoZ. JiaoD. P. JinS. JinT. JohanssonA. JulinN. Kalantar-NayestanakiX. L. KangX. S. KangM. KavatsyukB. C. KeR. KliemtB. KlossO. B. KolcuB. KopfM. KornicerW. KuehnA. KupscW. LaiJ. S. LangeM. LaraP. LarinC. LengC. H. LiCheng LiD. M. LiF. LiG. LiH. B. LiJ. C. LiJin LiK. LiLei LiP. R. LiT. LiW. D. LiW. G. LiX. L. LiX. M. LiX. N. LiX. Q. LiZ. B. LiH. LiangY. F. LiangY. T. LiangG. R. LiaoD. X. LinB. J. LiuC. X. LiuF. H. LiuFang LiuFeng LiuH. B. LiuH. H. LiuH. M. LiuJ. LiuJ. P. LiuJ. Y. LiuK. LiuK. Y. LiuL. D. LiuP. L. LiuQ. LiuS. B. LiuX. LiuX. X. LiuY. B. LiuZ. A. LiuZhiqiang LiuZhiqing LiuH. LoehnerX. C. LouH. J. LuJ. G. LuR. Q. LuY. LuY. P. LuC. L. LuoM. X. LuoT. LuoX. L. LuoM. LvX. R. LyuF. C. MaH. L. MaL. L. MaQ. M. MaS. MaT. MaX. N. MaX. Y. MaF. E. MaasM. MaggioraQ. A. MalikY. J. MaoZ. P. MaoS. MarcelloJ. G. MesschendorpJ. MinT. J. MinR. E. MitchellX. H. MoY. J. MoC. Morales MoralesK. MoriyaN. Yu. MuchnoiH. MuramatsuY. NefedovF. NerlingI. B. NikolaevZ. NingS. NisarS. L. NiuX. Y. NiuS. L. OlsenQ. OuyangS. PacettiP. PatteriM. PelizaeusH. P. PengK. PetersJ. L. PingR. G. PingR. PolingY. N. PuM. QiS. QianC. F. QiaoL. Q. QinN. QinX. S. QinY. QinZ. H. QinJ. F. QiuK. H. RashidC. F. RedmerH. L. RenM. RipkaG. RongX. D. RuanV. SantoroA. SarantsevM. SavriéK. SchoenningS. SchumannW. ShanM. ShaoC. P. ShenP. X. ShenX. Y. ShenH. Y. ShengW. M. SongX. Y. SongS. SosioS. SpataroG. X. SunJ. F. SunS. S. SunY. J. SunY. Z. SunZ. J. SunZ. T. SunC. J. TangX. TangI. TapanE. H. ThorndikeM. TiemensD. TothM. UllrichI. UmanG. S. VarnerB. WangB. L. WangD. WangD. Y. WangK. WangL. L. WangL. S. WangM. WangP. WangP. L. WangQ. J. WangS. G. WangW. WangX. F. WangY. D. WangY. F. WangY. Q. WangZ. WangZ. G. WangZ. H. WangZ. Y. WangT. WeberD. H. WeiJ. B. WeiP. WeidenkaffS. P. WenU. WiednerM. WolkeL. H. WuZ. WuL. G. XiaY. XiaD. XiaoZ. J. XiaoY. G. XieQ. L. XiuG. F. XuL. XuQ. J. XuQ. N. XuX. P. XuZ. R. XuL. YanW. B. YanW. C. YanY. H. YanH. X. YangL. YangY. YangY. X. YangH. YeM. YeM. H. YeJ. H. YinB. X. YuC. X. YuH. W. YuJ. S. YuC. Z. YuanW. L. YuanY. YuanA. YuncuA. A. ZafarA. ZalloY. ZengB. X. ZhangB. Y. ZhangC. ZhangC. C. ZhangD. H. ZhangH. H. ZhangH. Y. ZhangJ. J. ZhangJ. L. ZhangJ. Q. ZhangJ. W. ZhangJ. Y. ZhangJ. Z. ZhangK. ZhangL. ZhangS. H. ZhangX. Y. ZhangY. ZhangY. H. ZhangY. T. ZhangZ. H. ZhangZ. P. ZhangZ. Y. ZhangG. ZhaoJ. W. ZhaoJ. Y. ZhaoJ. Z. ZhaoLei ZhaoLing ZhaoM. G. ZhaoQ. ZhaoQ. W. ZhaoS. J. ZhaoT. C. ZhaoY. B. ZhaoZ. G. ZhaoA. ZhemchugovB. ZhengJ. P. ZhengW. J. ZhengY. H. ZhengB. ZhongL. ZhouLi ZhouX. ZhouX. K. ZhouX. R. ZhouX. Y. ZhouK. ZhuK. J. ZhuS. ZhuX. L. ZhuY. C. ZhuY. S. ZhuZ. A. ZhuJ. ZhuangL. ZottiB. S. ZouJ. H. Zou
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M. AblikimM. N. AchasovX. C. AiO. AlbayrakM. AlbrechtD. J. AmbroseA. AmorosoF. F. AnQ. AnJ. Z. BaiR. Baldini FerroliY. BanD. W. BennettJ. V. BennettM. BertaniD. BettoniJ. M. BianF. BianchiE. BogerO. BondarenkoI. BoykoR. A. BriereH. CaiX. CaiO. CakirA. CalcaterraG. F. CaoS. A. CetinJ. F. ChangG. ChelkovG. ChenH. S. ChenH. Y. ChenJ. C. ChenM. L. ChenS. J. ChenX. ChenX. R. ChenY. B. ChenH. P. ChengX. K. ChuG. CibinettoD. Cronin-HennessyH. L. DaiJ. P. DaiA. DbeyssiD. DedovichZ. Y. DengA. DenigI. DenysenkoM. DestefanisF. De MoriY. DingC. DongJ. DongL. Y. DongM. Y. DongS. X. DuP. F. DuanJ. Z. FanJ. FangS. S. FangX. FangY. FangL. FavaF. FeldbauerG. FeliciC. Q. FengE. FioravantiM. FritschC. D. FuQ. GaoY. GaoZ. GaoI. GarziaC. GengK. GoetzenW. X. GongW. GradlM. GrecoM. H. GuY. T. GuY. H. GuanA. Q. GuoL. B. GuoY. GuoY. P. GuoZ. HaddadiA. HafnerS. HanY. L. HanX. Q. HaoF. A. HarrisK. L. HeZ. Y. HeT. HeldY. K. HengZ. L. HouC. HuH. M. HuJ. F. HuT. HuY. HuG. M. HuangG. S. HuangH. P. HuangJ. S. HuangX. T. HuangY. HuangT. HussainQ. JiQ. P. JiX. B. JiX. L. JiL. L. JiangL. W. JiangX. S. JiangJ. B. JiaoZ. JiaoD. P. JinS. JinT. JohanssonA. JulinN. Kalantar-NayestanakiX. L. KangX. S. KangM. KavatsyukB. C. KeR. KliemtB. KlossO. B. KolcuB. KopfM. KornicerW. KuehnA. KupscW. LaiJ. S. LangeM. LaraP. LarinC. LengC. H. LiCheng LiD. M. LiF. LiG. LiH. B. LiJ. C. LiJin LiK. LiLei LiP. R. LiT. LiW. D. LiW. G. LiX. L. LiX. M. LiX. N. LiX. Q. LiZ. B. LiH. LiangY. F. LiangY. T. LiangG. R. LiaoD. X. LinB. J. LiuC. X. LiuF. H. LiuFang LiuFeng LiuH. B. LiuH. H. LiuH. M. LiuJ. LiuJ. P. LiuJ. Y. LiuK. LiuK. Y. LiuL. D. LiuP. L. LiuQ. LiuS. B. LiuX. LiuX. X. LiuY. B. LiuZ. A. LiuZhiqiang LiuZhiqing LiuH. LoehnerX. C. LouH. J. LuJ. G. LuR. Q. LuY. LuY. P. LuC. L. LuoM. X. LuoT. LuoX. L. LuoM. LvX. R. LyuF. C. MaH. L. MaL. L. MaQ. M. MaS. MaT. MaX. N. MaX. Y. MaF. E. MaasM. MaggioraQ. A. MalikY. J. MaoZ. P. MaoS. MarcelloJ. G. MesschendorpJ. MinT. J. MinR. E. MitchellX. H. MoY. J. MoC. Morales MoralesK. MoriyaN. Yu. MuchnoiH. MuramatsuY. NefedovF. NerlingI. B. NikolaevZ. NingS. NisarS. L. NiuX. Y. NiuS. L. OlsenQ. OuyangS. PacettiP. PatteriM. PelizaeusH. P. PengK. PetersJ. L. PingR. G. PingR. PolingY. N. PuM. QiS. QianC. F. QiaoL. Q. QinN. QinX. S. QinY. QinZ. H. QinJ. F. QiuK. H. RashidC. F. RedmerH. L. RenM. RipkaG. RongX. D. RuanV. SantoroA. SarantsevM. SavriéK. SchoenningS. SchumannW. ShanM. ShaoC. P. ShenP. X. ShenX. Y. ShenH. Y. ShengW. M. SongX. Y. SongS. SosioS. SpataroG. X. SunJ. F. SunS. S. SunY. J. SunY. Z. SunZ. J. SunZ. T. SunC. J. TangX. TangI. TapanE. H. ThorndikeM. TiemensD. TothM. UllrichI. UmanG. S. VarnerB. WangB. L. WangD. WangD. Y. WangK. WangL. L. WangL. S. WangM. WangP. WangP. L. WangQ. J. WangS. G. WangW. WangX. F. WangY. D. WangY. F. WangY. Q. WangZ. WangZ. G. WangZ. H. WangZ. Y. WangT. WeberD. H. WeiJ. B. WeiP. WeidenkaffS. P. WenU. WiednerM. WolkeL. H. WuZ. WuL. G. XiaY. XiaD. XiaoZ. J. XiaoY. G. XieQ. L. XiuG. F. XuL. XuQ. J. XuQ. N. XuX. P. XuZ. R. XuL. YanW. B. YanW. C. YanY. H. YanH. X. YangL. YangY. YangY. X. YangH. YeM. YeM. H. YeJ. H. YinB. X. YuC. X. YuH. W. YuJ. S. YuC. Z. YuanW. L. YuanY. YuanA. YuncuA. A. ZafarA. ZalloY. ZengB. X. ZhangB. Y. ZhangC. ZhangC. C. ZhangD. H. ZhangH. H. ZhangH. Y. ZhangJ. J. ZhangJ. L. ZhangJ. Q. ZhangJ. W. ZhangJ. Y. ZhangJ. Z. ZhangK. ZhangL. ZhangS. H. ZhangX. Y. ZhangY. ZhangY. H. ZhangY. T. ZhangZ. H. ZhangZ. P. ZhangZ. Y. ZhangG. ZhaoJ. W. ZhaoJ. Y. ZhaoJ. Z. ZhaoLei ZhaoLing ZhaoM. G. ZhaoQ. ZhaoQ. W. ZhaoS. J. ZhaoT. C. ZhaoY. B. ZhaoZ. G. ZhaoA. ZhemchugovB. ZhengJ. P. ZhengW. J. ZhengY. H. ZhengB. ZhongL. ZhouLi ZhouX. ZhouX. K. ZhouX. R. ZhouX. Y. ZhouK. ZhuK. J. ZhuS. ZhuX. L. ZhuY. C. ZhuY. S. ZhuZ. A. ZhuJ. ZhuangL. ZottiB. S. ZouJ. H. Zou

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