U_A(1) symmetry breaking, scalar mesons and the nucleon spin problem in an effective chiral field theory

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dc.creatorDmitrasinovic, V.
dc.date2000-10-06
dc.date.accessioned2026-07-07T11:30:59Z
dc.date.available2026-07-07T11:30:59Z
dc.descriptionWe establish a relationship between the scalar meson spectrum and the $U_A (1)$ symmetry-breaking 't Hooft interaction on one hand and the constituent quark's flavor-singlet axial coupling constant $g_{A, Q}^{(0)}$ on the other, using an effective chiral quark field theory. This analysis leads to the new sum rule $g_{A, Q}^{(0)}[m_{η'}^{2} + m_η^{2} - 2 m_{K}^{2} ]\simeq - m_{f_{0}^{'}}^{2} - m_{f_{0}}^{2} + 2 m_{K_{0}^{*}}^{2}$, where $η^{'}, η, K$ are the observed pseudoscalar mesons, $K_{0}^{*}$ is the strange scalar meson at 1430 MeV and $f_{0}, f_{0}^{'}$ are "the eighth and the ninth" scalar mesons. We discuss the relationship between the constituent quark flavor-singlet axial coupling constant $g_{A, Q}^{(0)}$ and the nucleon one $g_{A, N}^{(0)}$ (``nucleon's spin content'') in this effective field theory. We also relate $g_{A, Q}^{(0)}$, as well as the flavour-octet constituent quark axial coupling constant $g_{A, Q}^{(1)}$ to vector and axial-vector meson masses in general as well as in the tight-binding limit.
dc.description16 pages, 3 figures, RevTex, to appear in Nucl.Phys.A
dc.identifierhttps://arxiv.org/abs/hep-ph/0010047
dc.identifierhttp://arxiv.org/abs/hep-ph/0010047
dc.identifierNucl.Phys.A686:379-392,2001
dc.identifierdoi:10.1016/S0375-9474(00)00564-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197130
dc.subjectHigh Energy Physics - Phenomenology
dc.titleU_A(1) symmetry breaking, scalar mesons and the nucleon spin problem in an effective chiral field theory
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