Spectral functions of nucleon form factors: Threepion 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 pithreshold in covariant baryon chiral perturbation theory. At the twoloop level, the contributions arising from leading and nexttoleading order chiral pi Nvertices, as well as pioninduced excitations of virtual Delta(1232)isobars, are calculated. It is found that the heavy baryon treatment overestimates substantially these 3 picontinua. From a phenomenological analysis, that includes the narrow omega(783)resonance or the broad a_{1}resonance, one can recognize small windows near threshold, where chiral 3 pidynamics prevails. However, in the case of the isoscalar electromagnetic form factors G$$s\atop{E,M}$$(t), the radiative correction provided by the pi^{0} gammaintermediate state turns out to be of similar size.
 Authors:

 Technische Univ. Munchen, Garching (Germany)
 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):
 JLABTHY182862; DOE/OR/231774576
Journal ID: ISSN 14346001
 Grant/Contract Number:
 AC0506OR23177
 Resource Type:
 Accepted Manuscript
 Journal Name:
 European Physical Journal. A
 Additional Journal Information:
 Journal Volume: 55; Journal Issue: 2; Journal ID: ISSN 14346001
 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: Threepion continua at low energies. United States: N. p., 2019.
Web. doi:10.1140/epja/i201912680y.
Kaiser, N., & Passemar, E. Spectral functions of nucleon form factors: Threepion continua at low energies. United States. doi:10.1140/epja/i201912680y.
Kaiser, N., and Passemar, E. Thu .
"Spectral functions of nucleon form factors: Threepion continua at low energies". United States. doi:10.1140/epja/i201912680y. https://www.osti.gov/servlets/purl/1498268.
@article{osti_1498268,
title = {Spectral functions of nucleon form factors: Threepion 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 pithreshold in covariant baryon chiral perturbation theory. At the twoloop level, the contributions arising from leading and nexttoleading order chiral pi Nvertices, as well as pioninduced excitations of virtual Delta(1232)isobars, are calculated. It is found that the heavy baryon treatment overestimates substantially these 3 picontinua. From a phenomenological analysis, that includes the narrow omega(783)resonance or the broad a1resonance, one can recognize small windows near threshold, where chiral 3 pidynamics prevails. However, in the case of the isoscalar electromagnetic form factors G$s\atop{E,M}$(t), the radiative correction provided by the pi0 gammaintermediate state turns out to be of similar size.},
doi = {10.1140/epja/i201912680y},
journal = {European Physical Journal. A},
number = 2,
volume = 55,
place = {United States},
year = {2019},
month = {2}
}
Web of Science
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