Theory of two-meson photo- and electroproduction off the nucleon

Haberzettl, Helmut; Nakayama, Kanzo; Oh, Yongseok

doi:10.1103/physrevd.99.053001

Theory of two-meson photo- and electroproduction off the nucleon

Journal Article · Fri Mar 08 00:00:00 EST 2019 · Physical Review D

DOI:https://doi.org/10.1103/physrevd.99.053001· OSTI ID:1612663

Haberzettl, Helmut ^[1]; Nakayama, Kanzo ^[2]; Oh, Yongseok ^[3]

George Washington Univ., Washington, DC (United States); DOE/OSTI
Univ. of Georgia, Athens, GA (United States)
Kyungpook National Univ., Daegu (Korea); Asia Pacific Center for Theoretical Physics, Gyeongbuk (Korea)

Using the reaction γN → ππN as the paradigmatic topological framework, a field-theoretical description of the electromagnetic production of two pseudoscalar mesons off the nucleon is derived and applied to photo- and electroproduction processes, assuming only one-photon exchange for the latter. The dynamics of all explicit three-point interaction mechanisms of the ππN system is accounted for by the Faddeev-type ordering structure of the Alt-Grassberger-Sandhas equations. The modifications necessary for incorporating n-meson vertices for n ≥ 4 are discussed. The formulation is valid for hadronic two-point and three-point functions dressed by arbitrary (even nonlinear) internal mechanisms provided all associated electromagnetic currents are constructed to satisfy their respective (generalized) Ward-Takahashi identities. Coupling the photon to the Faddeev structure of the underlying hadronic two-pion production mechanisms results in a natural expansion of the full two-pion photoproduction current $$M$$$^{μ}_{ππ}$$ in terms of multiple dressed loops involving two-body subsystem scattering amplitudes of the ππN system that preserves gauge invariance as a matter of course order by order in the number of (dressed) loops. A closed-form expression is presented for the entire gauge-invariant current $$M$$$^{μ}_{ππ}$$ with complete three-body dynamics. Individually gauge-invariant truncations of the full dynamics most relevant for practical applications at the no-loop, one-loop, and two-loop levels are discussed in detail. An approximation scheme to the full two-meson amplitude for calculational purposes is also presented. It approximates, systematically, the full amplitude to any desired order of expansion in the underlying hadronic two-body amplitude. Furthermore, it allows for the approximate incorporation of all neglected higher-order mechanisms in terms of a locally gauge-invariant phenomenological remainder current.

View Accepted Manuscript (DOE)

Research Organization:: George Washington Univ., Washington, DC (United States)

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

Grant/Contract Number:: SC0016582

OSTI ID:: 1612663

Alternate ID(s):: OSTI ID: 1546329

Journal Information:: Physical Review D, Journal Name: Physical Review D Journal Issue: 5 Vol. 99; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Astronomy & Astrophysics
Electroweak interaction
Photonuclear reactions
Physics

Theory of two-meson photo- and electroproduction off the nucleon

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