Partially conserved axial current constraints on pion production/absorption within nonrelativistic dynamics

Simple item page
dc.creatorDmitrasinovic, V.
dc.creatorSato, T.
dc.date1998-06-30
dc.date.accessioned2026-07-07T11:36:41Z
dc.date.available2026-07-07T11:36:41Z
dc.descriptionWe show the necessity of two-nucleon axial currents and associated pion emission/ absorption operators for the partial conservation of the axial current (PCAC) nuclear matrix elements with arbitrary nuclear dynamics described by a nonrelativistic Schroedinger equation. As examples we construct such nonrelativistic axial two-body currents in the linear- and heterotic (g_A = 1.26) sigma models, with an optional isoscalar vector (omega) meson exchange. The nuclear matrix elements obey PCAC only if the nuclear wave functions used in the calculation are solutions to the Schroedinger equation with the static one-meson-exchange potential constructed in the respective (sigma) model. The same holds true for the nucler pion production amplitude, since it is proportional to the divergence of the axial current matrix element, by virtue of PCAC. Thus we found a new consistency condition between the pion creation/absorption operator and the nuclear Hamiltonian. We present examples drawn from our models and discuss implications for one-pion-two-nucleon processes.
dc.description19 pages, 7 figures, submitted to Phys. Rev. C
dc.identifierhttps://arxiv.org/abs/nucl-th/9806103
dc.identifierhttp://arxiv.org/abs/nucl-th/9806103
dc.identifierPhys.Rev.C58:1937-1947,1998
dc.identifierdoi:10.1103/PhysRevC.58.1937
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198999
dc.subjectNuclear Theory
dc.titlePartially conserved axial current constraints on pion production/absorption within nonrelativistic dynamics
dc.typetext

Files

Collections

arXiv