dorsal/arxiv
View SchemaGauge-invariant theory of pion photoproduction with dressed hadrons
| Authors | Helmut Haberzettl |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9704057 |
| URL | https://arxiv.org/abs/nucl-th/9704057 |
| DOI | 10.1103/PhysRevC.56.2041 |
| Journal | Phys.Rev.C56:2041-2058,1997 |
Abstract
Based 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.
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"abstract": "Based on an effective field theory of hadrons in which quantum chromodynamics\nis assumed to provide the necessary bare cutoff functions, a gauge-invariant\ntheory of pion photoproduction with fully dressed nucleons is developed. The\nformalism provides consistent dynamical descriptions of pi-N --\u003e pi-N\nscattering and Gamma-N --\u003e pi-N production mechanisms in terms of nonlinear\nintegral equations for fully dressed hadrons. Defining electromagnetic currents\nvia the gauging of hadronic n-point Green\u0027s functions, dynamically detailed\ncurrents for dressed nucleons are introduced. The dressed hadron currents and\nthe pion photoproduction current are explicitly shown to satisfy gauge\ninvariance in a self-consistent manner. Approximations are discussed that make\nthe nonlinear formalism manageable in practice and yet preserve gauge\ninvariance. This is achieved by recasting the gauge conditions for all\ncontributing interaction currents as continuity equations with ``surface\u0027\u0027\nterms for the individual particle legs coming into or going out of the hadronic\ninteraction region. General procedures are given that approximate any type of\n(global) interaction current in a gauge-invariance preserving manner as a sum\nof single-particle ``surface\u0027\u0027 currents. It is argued that these prescriptions\ncarry over to other reactions, irrespective of the number or type of\ncontributing hadrons or hadronic systems.",
"arxiv_id": "nucl-th/9704057",
"authors": [
"Helmut Haberzettl"
],
"categories": [
"nucl-th"
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"doi": "10.1103/PhysRevC.56.2041",
"journal_ref": "Phys.Rev.C56:2041-2058,1997",
"title": "Gauge-invariant theory of pion photoproduction with dressed hadrons",
"url": "https://arxiv.org/abs/nucl-th/9704057"
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