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Titolo:
Chiral symmetry and low energy pion-nucleon scattering
Autore:
Coon, SA;
Indirizzi:
New Mexico State Univ, Dept Phys, Las Cruces, NM 88003 USA New Mexico State Univ Las Cruces NM USA 88003 s, Las Cruces, NM 88003 USA
Titolo Testata:
CZECHOSLOVAK JOURNAL OF PHYSICS
fascicolo: 9, volume: 49, anno: 1999,
pagine: 1235 - 1271
SICI:
0011-4626(199909)49:9<1235:CSALEP>2.0.ZU;2-W
Fonte:
ISI
Lingua:
ENG
Soggetto:
GOLDBERGER-TREIMAN DISCREPANCY; FORM-FACTOR; LAGRANGIANS; MATTER; FORCES; BREAKING; MODEL;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
92
Recensione:
Indirizzi per estratti:
Indirizzo: Coon, SA New Mexico State Univ, Dept Phys, Las Cruces, NM 88003 USA New Mexico State Univ Las Cruces NM USA 88003 uces, NM 88003 USA
Citazione:
S.A. Coon, "Chiral symmetry and low energy pion-nucleon scattering", CZEC J PHYS, 49(9), 1999, pp. 1235-1271

Abstract

In these lectures, I examine the effect of the meson factory pi N data on the current algebra/PCAC program which describes chiral symmetry breaking in this system. After historical remarks on the current algebra/PCAC versus chiral Lagrangians approaches to chiral symmetry, and description of the need for pi N amplitudes with virtual (off-mass-shell) pions in nuclear forcemodels and other nuclear physics problems, I begin with kinematics and isospin aspects of the invariant amplitudes. A detailed introduction to the hadronic vector and axial-vector currents and the hypothesis of partially conserved axial-vector currents (PCAC) follows. I review and test against contemporary data the PCAC predictions of the Goldberger-Treiman relation, and the Adler consistency condition for a pi N amplitude. Then comes a detaileddescription of the current algebra Ward-Takahashi identities in the chirallimit and a brief account of the on-shell current algebra Ward-Takahashi identities. The latter identities form the basis of so-called current algebra models of pi N scattering. I then test these models against the contemporary empirical pi N amplitudes extrapolated into the subthreshold region viadispersion relations. The scale and the t dependence of the "sigma term" is determined by the recent data.

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Documento generato il 24/09/20 alle ore 05:00:58