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Electromagnetic Interactions of a Vector Meson with a Scalar Excited State

Marshall N. Rosenbluth*

  • University of Chicago, Chicago, Illinois

  • *National Research Council Fellow. Now at Stanford University.

Phys. Rev. 76, 951 – Published 1 October, 1949

DOI: https://doi.org/10.1103/PhysRev.76.951

Abstract

A relativistically invariant formalism is presented for a theory of a meson possessing a vector and a scalar state of different mass which are tightly coupled by the electromagnetic field. It is found that the theory reduces formally to the theory of a five-dimensional vector meson, with the constant which couples the states playing the role of a fifth component of the energy-momentum vector. With a large coupling constant there is a high probability for producing excited-state mesons, and hence decay photons, in electromagnetic processes; e.g., by Rutherford scattering on passage of a beam of mesons through heavy material. The production of many photons in nucleon-nucleon scattering, such as has been reported at Berkeley, might possibly be interpreted as resulting from the decay of excited-state mesons which are produced directly. It is also found that the existence of a scalar excited state aggravates the high energy divergences of vector meson cross sections for such electromagnetic processes as Compton effect, so that the validity of the Christy-Kusaka argument against the μ-meson having spin 1 is not affected by the possible existence of a scalar excited state.

References (7)

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