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Title: Spectral functions of nucleon form factors: Three-pion continua at low energies

Abstract

We study the imaginary parts of the isoscalar electromagnetic and isovector axial form factors of the nucleon close to the 3 pi-threshold in covariant baryon chiral perturbation theory. At the two-loop level, the contributions arising from leading and next-to-leading order chiral pi N-vertices, as well as pion-induced excitations of virtual Delta(1232)-isobars, are calculated. It is found that the heavy baryon treatment overestimates substantially these 3 pi-continua. From a phenomenological analysis, that includes the narrow omega(783)-resonance or the broad a1-resonance, one can recognize small windows near threshold, where chiral 3 pi-dynamics prevails. However, in the case of the isoscalar electromagnetic form factors G$$s\atop{E,M}$$(t), the radiative correction provided by the pi0 gamma-intermediate state turns out to be of similar size.

Authors:
 [1];  [2]
  1. Technische Univ. Munchen, Garching (Germany)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Indiana Univ., Bloomington, IN (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1498268
Report Number(s):
JLAB-THY-18-2862; DOE/OR/23177-4576
Journal ID: ISSN 1434-6001
Grant/Contract Number:  
AC05-06OR23177
Resource Type:
Accepted Manuscript
Journal Name:
European Physical Journal. A
Additional Journal Information:
Journal Volume: 55; Journal Issue: 2; Journal ID: ISSN 1434-6001
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Kaiser, N., and Passemar, E. Spectral functions of nucleon form factors: Three-pion continua at low energies. United States: N. p., 2019. Web. doi:10.1140/epja/i2019-12680-y.
Kaiser, N., & Passemar, E. Spectral functions of nucleon form factors: Three-pion continua at low energies. United States. doi:10.1140/epja/i2019-12680-y.
Kaiser, N., and Passemar, E. Thu . "Spectral functions of nucleon form factors: Three-pion continua at low energies". United States. doi:10.1140/epja/i2019-12680-y. https://www.osti.gov/servlets/purl/1498268.
@article{osti_1498268,
title = {Spectral functions of nucleon form factors: Three-pion continua at low energies},
author = {Kaiser, N. and Passemar, E.},
abstractNote = {We study the imaginary parts of the isoscalar electromagnetic and isovector axial form factors of the nucleon close to the 3 pi-threshold in covariant baryon chiral perturbation theory. At the two-loop level, the contributions arising from leading and next-to-leading order chiral pi N-vertices, as well as pion-induced excitations of virtual Delta(1232)-isobars, are calculated. It is found that the heavy baryon treatment overestimates substantially these 3 pi-continua. From a phenomenological analysis, that includes the narrow omega(783)-resonance or the broad a1-resonance, one can recognize small windows near threshold, where chiral 3 pi-dynamics prevails. However, in the case of the isoscalar electromagnetic form factors G$s\atop{E,M}$(t), the radiative correction provided by the pi0 gamma-intermediate state turns out to be of similar size.},
doi = {10.1140/epja/i2019-12680-y},
journal = {European Physical Journal. A},
number = 2,
volume = 55,
place = {United States},
year = {2019},
month = {2}
}

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