Isospin-violating meson-nucleon vertices as an alternate mechanism of charge-symmetry breaking

S. Gardner, C. J. Horowitz, and J. Piekarewicz
Phys. Rev. C 53, 1143 – Published 1 March 1996
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Abstract

We compute isospin-violating meson-nucleon coupling constants and their consequent charge-symmetry-breaking (CSB) nucleon-nucleon potentials. The couplings result from evaluating matrix elements of quark currents between nucleon states in a nonrelativistic constituent quark model; the isospin violations arise from the difference in the up and down constituent quark masses. We find, in particular, that isospin violation in the omega-meson–nucleon vertex dominates the class IV CSB potential obtained from these considerations. We evaluate the resulting spin-singlet–triplet mixing angles, the quantities germane to the difference of neutron and proton analyzing powers measured in elastic n→-p→ scattering, and find them commensurate to those computed originally using the on-shell value of the ρ-ω mixing amplitude. The use of the on-shell ρ-ω mixing amplitude at q2=0 has been called into question; rather, the amplitude is zero in a wide class of models. Our model possesses no contribution from ρ-ω mixing at q2=0, and we find that omega-meson exchange suffices to explain the measured n-p analyzing power difference at 183 MeV. © 1996 The American Physical Society.

  • Received 22 August 1995

DOI:https://doi.org/10.1103/PhysRevC.53.1143

©1996 American Physical Society

Authors & Affiliations

S. Gardner

  • Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506

C. J. Horowitz

  • Nuclear Theory Center and Department of Physics, Indiana University, Bloomington, Indiana 47505

J. Piekarewicz

  • Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306

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Vol. 53, Iss. 3 — March 1996

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