Gauge-invariant theory of pion photoproduction with dressed hadrons

dc.creatorHaberzettl, Helmut
dc.date1997-04-24
dc.date1997-08-18
dc.date.accessioned2026-07-07T11:11:11Z
dc.date.available2026-07-07T11:11:11Z
dc.descriptionBased on an effective field theory of hadrons in which quantum chromodynamics is assumed to provide the necessary bare cutoff functions, a gauge-invariant theory of pion photoproduction with fully dressed nucleons is developed. The formalism provides consistent dynamical descriptions of pi-N --> pi-N scattering and Gamma-N --> pi-N production mechanisms in terms of nonlinear integral equations for fully dressed hadrons. Defining electromagnetic currents via the gauging of hadronic n-point Green's functions, dynamically detailed currents for dressed nucleons are introduced. The dressed hadron currents and the pion photoproduction current are explicitly shown to satisfy gauge invariance in a self-consistent manner. Approximations are discussed that make the nonlinear formalism manageable in practice and yet preserve gauge invariance. This is achieved by recasting the gauge conditions for all contributing interaction currents as continuity equations with ``surface'' terms for the individual particle legs coming into or going out of the hadronic interaction region. General procedures are given that approximate any type of (global) interaction current in a gauge-invariance preserving manner as a sum of single-particle ``surface'' currents. It is argued that these prescriptions carry over to other reactions, irrespective of the number or type of contributing hadrons or hadronic systems.
dc.description33 pages, RevTeX; includes 8 postscript figures (requires psfig.sty). This version corrects some minor errors, etc.; contains updated references. Accepted for publication in Phys. Rev. C56 (Oct. 97)
dc.identifierhttps://arxiv.org/abs/nucl-th/9704057
dc.identifierhttp://arxiv.org/abs/nucl-th/9704057
dc.identifierPhys.Rev.C56:2041-2058,1997
dc.identifierdoi:10.1103/PhysRevC.56.2041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191010
dc.subjectNuclear Theory
dc.titleGauge-invariant theory of pion photoproduction with dressed hadrons
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