Nucleon form factors in dispersively improved chiral effective field theory. II. Electromagnetic form factors

Alarcón, J. M.; Weiss, C.

doi:10.1103/PhysRevC.97.055203

Title: Nucleon form factors in dispersively improved chiral effective field theory. II. Electromagnetic form factors

Journal Article · Tue May 08 00:00:00 EDT 2018 · Physical Review. C

DOI:https://doi.org/10.1103/PhysRevC.97.055203· OSTI ID:1436377

Alarcón, J. M.; Weiss, C.

We study the nucleon electromagnetic form factors (EM FFs) using a recently developed method combining Chiral Effective Field Theory ($$\chi$$EFT) and dispersion analysis. The spectral functions on the two-pion cut at $$t > 4 M_\pi^2$$ are constructed using the elastic unitarity relation and an $N/D$ representation. $$\chi$$EFT is used to calculate the real unctions $$J_\pm^1 (t) = f_\pm^1(t)/F_\pi(t)$$ (ratios of the complex $$\pi\pi \rightarrow N \bar N$$ partial-wave amplitudes and the timelike pion FF), which are free of $$\pi\pi$$ rescattering. Rescattering effects are included through the empirical timelike pion FF $$|F_\pi(t)|^2$$. The method allows us to compute the isovector EM spectral functions up to $$t \sim 1$$ GeV$^2$ with controlled accuracy (LO, NLO, and partial N2LO). With the spectral functions we calculate the isovector nucleon EM FFs and their derivatives at $t = 0$ (EM radii, moments) using subtracted dispersion relations. We predict the values of higher FF derivatives with minimal uncertainties and explain their collective behavior. Finally, we estimate the individual proton and neutron FFs by adding an empirical parametrization of the isoscalar sector. Excellent agreement with the present low-$Q^2$ FF data is achieved up to $$\sim$$0.5 GeV$^2$ for $$G_E$$, and up to $$\sim$$0.2 GeV$^2$ for $$G_M$$. Our results can be used to guide the analysis of low-$Q^2$ elastic scattering data and the extraction of the proton charge radius.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-06OR23177; FPA2016-77313-P

OSTI ID:: 1436377

Alternate ID(s):: OSTI ID: 1438371

Report Number(s):: JLAB-THY-17-2568; DOE/OR/-23177-4230; arXiv:1710.06430; PRVCAN; 055203

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Vol. 97 Journal Issue: 5; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 21 works

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