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Diagonalization of the Natural Parity in the Multiperipheral Equations

Marcello Ciafaloni*

Harry J. Yesian

  • Department of Physics, University of California, Berkeley, California 94720

  • Department of Physics, University of California at San Diego, La Jolla, California 92037

  • *On leave of absence from Scuola Normale Superiore, Pisa, Italy and INFN, Sezione di Pisa, Italy. Present address: Scuola Normale Superiore, Pisa, Italy.
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Phys. Rev. D 2, 2500 – Published 15 November, 1970

DOI: https://doi.org/10.1103/PhysRevD.2.2500

Abstract

The crossed partial-wave analysis of the multiperipheral equations is extended to include the natural-parity quantum number. At nonvanishing momentum transfer, a constraint imposed by reflection symmetry on the two-Reggeon-particle vertex function is shown to diagonalize a discrete index κ, which therefore assumes the meaning of a parity index. At vanishing momentum transfer, the result is a selection rule for the vertex function between input Regge poles and an output Regge pole of Toller quantum number M=0. It turns out that, to leading order in the asymptotic expansion in the subenergies, the product of the three natural parities at the vertex has to be positive. The t=0 limit and some possible implications of this selection rule are also discussed.

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Phys. Rev. D 2, 2500– Published 15 November, 1970
  • Received 13 July 1970

© 1970 American Physical Society

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