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O(2, 1) Decomposition of the Equal-Mass Multipheripheral Equation at t=0

Marcello Ciafaloni*

Carleton DeTar

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

  • Lawrence Radiation Laboratory, University of California, Berkeley, California 94720

  • *On leave of absence from Scuola Normale Superiore, Pisa, Italy, and Istituto Nazionale di Fisica Nucleare, Sezione di Pisa, Italy.
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Phys. Rev. D 1, 2917 – Published 15 May, 1970

DOI: https://doi.org/10.1103/PhysRevD.1.2917

Abstract

We extend the results of a group-theoretical analysis of the t<0 multiperipheral equation to the case t=0 for pairwise equal masses. Using variables discussed in a previous paper, we diagonalize the equation in the Bali-Chew-Pignotti (BCP) model with respect to the O(2, 1) group and relate the solutions to the equation so obtained with the solutions obtained after diagonalization with respect to the O(3, 1) group. Poles in the O(3, 1) partial-wave amplitude give rise to the expected sequence of daughter poles in the O(2, 1) partial-wave amplitude. At general momentum transfer, we establish factorization at the O(1, 1) poles in the decomposition of the BCP amplitude, and present further simplifications to the diagonalized equations based upon this model.

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Phys. Rev. D 1, 2917– Published 15 May, 1970
  • Received 15 December 1969

© 1970 American Physical Society

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