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M meson and a generalization of the Pomeranchuk relations

Wagner, William G. and Sharp, David H. (1962) M meson and a generalization of the Pomeranchuk relations. Physical Review, 128 (6). pp. 2899-2905. ISSN 0031-899X. doi:10.1103/PhysRev.128.2899.

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Under the hypothesis that a K-π resonance is vector, we examine its role in the associated production of Λ by π and in Λ production by K. We shall demonstrate the existence of a new symmetry between two reaction amplitudes. This symmetry may be regarded as a generalization of Pomeranchuk's relations and should appear at high energies and low momentum transfers when both amplitudes are dominated by the same pole or pseudopole, as is to be expected according to the Regge pole hypothesis. Specifically, we find, in considering the details of the role of a strange vector meson in the processes π+N→Λ+K and K +N→Λ+π, that the associated production amplitude in the forward direction (for the K) at high energies is asymptotically equal to the negative of the amplitude characterizing Λ production by a K. The contribution of the dominant pole terms in these amplitudes is constructed for the high-energy limit and the energy and momentum transfer dependences are compared for the alternative hypothesis of composite or elementary particle behavior of a pole term. We discuss experiments which are needed to supply data for a test of the Regge pole hypothesis. The results of these experiments, which are feasible with the new large accelerators, will be most important as guides for the construction of theories of the strong interactions.

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Additional Information:© 1962 by The American Physical Society. Received 30 July 1962. The basic idea of this paper were suggested by Professor Murray Gell-Mann, to whom the authors are deeply grateful for constant advice and encouragement. One of the authors, WGW, wish to thank A.(L.)D. Lewis for many stimulating conversations throughout the course of this research. This work is based on a section of a thesis submitted by W.G. Wagner to the California Institute of Technology in partial fulfillment of the requirements for the Degree of Doctor of Philosophy. [W.G.W. was a] Howard Hughes Doctoral Fellow, 1960-1962. [D.H.S. was a] National Science Foundation Predoctoral Fellow, 1960-62.
Issue or Number:6
Record Number:CaltechAUTHORS:WAGpr62
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10644
Deposited By: Tony Diaz
Deposited On:28 May 2008
Last Modified:08 Nov 2021 21:09

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