A Theorem on Photomeson Production near Threshold and the Suppression of Pairs in Pseudoscalar Meson Theory

Norman M. Kroll and Malvin A. Ruderman
Phys. Rev. 93, 233 – Published 1 January 1954
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Abstract

It is shown that the photoproduction of charged pseudoscalar mesons at threshold computed to lowest order in the meson-nucleon mass ratio but to arbitrary order in the meson-nucleon coupling constant is essentially equivalent to the weak-coupling result obtained from second-order perturbation theory. The μM corrections can be estimated from the ratio of the positive to the negative production cross section. It is therefore suggested that the measurement of the S-wave photoproduction of charged mesons may be one of the more reliable methods presently available for determining the meson-nucleon coupling constant. As the threshold production proceeds entirely through the mediation of negative energy states the connection of this result with the possible suppression of nucleon anti-nucleon pairs is discussed.

  • Received 20 August 1953

DOI:https://doi.org/10.1103/PhysRev.93.233

©1954 American Physical Society

Authors & Affiliations

Norman M. Kroll

  • Columbia University, New York, New York

Malvin A. Ruderman*

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

  • *National Science Foundation Post-Doctoral Fellow.

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Vol. 93, Iss. 1 — January 1954

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