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Hadron scattering in the large-Nc limit as a problem in linear algebra

Michael P. Mattis

Eric Braaten

  • Enrico Fermi Institute and Department of Physics, University of Chicago, Chicago, Illinois 60637

  • Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208

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Phys. Rev. D 39, 2737 – Published 1 May, 1989

DOI: https://doi.org/10.1103/PhysRevD.39.2737

Abstract

We study meson-baryon scattering in the nonrelativistic quark model, to leading order in 1/Nc. The problem is elegantly expressed as a matrix equation T=Π⋅T, where T is the scattering matrix and Π is a projection operator expressible as an 18j symbol of the second kind. The transformation that diagonalizes Π is the crossing relation between s-channel and t-channel partial-wave amplitudes. The solutions to the equation are those scattering amplitudes which satisfy the ‘‘It=Jt rule’’ and the ‘‘proportionality rule,’’ two large-Nc selection rules which have been derived using Skyrmion and one-boson-exchange techniques as well. The projection-equation approach is also extended to operators other than the the meson-baryon T matrix.

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References (22)

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Phys. Rev. D 39, 2737– Published 1 May, 1989
  • Received 6 January 1989

© 1989 American Physical Society

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