Theory of πN Scattering in the Strip Approximation to the Mandelstam Representation

Virendra Singh and B. M. Udgaonkar
Phys. Rev. 123, 1487 – Published 15 August 1961
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Abstract

The strip approximation to the Mandelstam representation is applied to the πN problem, and the basic equations given. The asymptotic behavior of the invariant amplitudes in the physical regions is discussed in terms of the unitarity condition on partial-wave amplitudes, the constancy of high-energy scattering cross sections, and the Pomeranchuk theorem, and it is shown to imply that no subtractions should be necessary except in the J=12 wave of the πN channel and the J=0 wave of the π+πN+N¯ channel. This obviates the difficulties encountered by earlier workers when they subtracted higher waves.

  • Received 7 April 1961

DOI:https://doi.org/10.1103/PhysRev.123.1487

©1961 American Physical Society

Authors & Affiliations

Virendra Singh* and B. M. Udgaonkar

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

  • *On deputation from Tata Institute of Fundamental Research, Bombay, India.
  • On deputation from Atomic Energy Establishment, Trombay, India.

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Issue

Vol. 123, Iss. 4 — August 1961

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