Charge-conjugation symmetric complete impulse approximation for the pion electromagnetic form factor in the covariant spectator theory

Biernat, Elmar P.; Gross, Franz; Peña, M. T.; Stadler, Alfred

doi:10.1103/PhysRevD.92.076011

Charge-conjugation symmetric complete impulse approximation for the pion electromagnetic form factor in the covariant spectator theory

Journal Article · Mon Oct 26 00:00:00 EDT 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.92.076011· OSTI ID:1224196

Biernat, Elmar P. ^[1]; Gross, Franz ^[1]; Peña, M. T. ^[2]; Stadler, Alfred ^[3]

Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Univ. de Lisboa, Lisboa (Portugal)
Univ. de Evora, Evora (Portugal)

The pion form factor is calculated in the framework of the charge-conjugation invariant covariant spectator theory. This formalism is established in Minkowski space, and the calculation is set up in momentum space. In a previous calculation we included only the leading pole coming from the spectator quark (referred to as the relativistic impulse approximation). In this study we also include the contributions from the poles of the quark which interacts with the photon and average over all poles in both the upper and lower half-planes in order to preserve charge conjugation invariance (referred to as the C-symmetric complete impulse approximation). We find that for small pion mass these contributions are significant at all values of the four-momentum transfer Q² but, surprisingly, do not alter the shape obtained from the spectator poles alone.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 1224196

Alternate ID(s):: OSTI ID: 1224364

Report Number(s):: DOE/OR/23177--3517; JLAB-THY--15-2125

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology Journal Issue: 7 Vol. 92; ISSN PRVDAQ; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Quark mass function from a one-gluon-exchange-type interaction in Minkowski space Biernat, Elmar P.; Gross, Franz; Peña, M. T. Physical Review D, Vol. 98, Issue 11 https://doi.org/10.1103/physrevd.98.114033	journal	December 2018
Aspects of open-flavour mesons in a comprehensive DSBSE study Hilger, T.; Gómez-Rocha, M.; Krassnigg, A. The European Physical Journal A, Vol. 53, Issue 10 https://doi.org/10.1140/epja/i2017-12384-4	journal	October 2017
Quark mass functions and pion structure in the Covariant Spectator Theory Biernat, E. P.; Gross, F.; Peña, M. T. arXiv https://doi.org/10.48550/arxiv.1802.00266	text	January 2018

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