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

Kaiser, N.; Passemar, E.

doi:10.1140/epja/i2019-12680-y

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

Journal Article · 14 February 2019 · European Physical Journal. A

DOI: https://doi.org/10.1140/epja/i2019-12680-y · OSTI ID:1498268

Kaiser, N. ^[1]; Passemar, E. ^[2]

Technische Univ. Munchen, Garching (Germany)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Indiana Univ., Bloomington, IN (United States)

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.

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

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 1498268

Report Number(s):: JLAB-THY--18-2862; DOE/OR/23177--4576

Journal Information:: European Physical Journal. A, Journal Name: European Physical Journal. A Journal Issue: 2 Vol. 55; ISSN 1434-6001

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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