Effect of Configuration Mixing on Magnetic Multipole Radiation

Phys. Rev. 114, 326 – Published 1 April 1959
K. K. Gupta and R. D. Lawson

Abstract

Expressions for the matrix element governing the emission of magnetic multipole radiation are given. The effect of weak configuration mixing and the small additional contribution to proton matrix elements (∼5%) arising from the nuclear spin-orbit interaction are considered. For M4 transitions, even in nuclei near closed shells, the theoretical matrix elements derived from pure configurations are too large by a factor of two. The effect of configuration mixing reduces these. Choosing a δ-function interaction of reasonable strength leads to a reduction of ∼25% in the matrix element for 1g922p12 transition in Y508939. The (2p12)-1(1g92)-1 transition in Sr498738 is reduced close to the required 50%. The 1h1122d32 matrix element becomes ∼25% smaller. However, there are no data available for the nucleus Sn6511550, with which one would like to make comparison. Finally, the (1i132)-1(2f52)-1 transition in Pb12520782 has its matrix element reduced by only ∼6%. Although the reduction in Y508939 is somewhat too small, one cannot make a positive statement that configuration mixing is incapable of explaining the experimental result since a two-body force of a more realistic type may close the gap between theory and experiment. However, for Pb12520782 there seems no doubt that other effects, for example, meson currents, must be incorporated.

DOI: http://dx.doi.org/10.1103/PhysRev.114.326

  • Received 12 November 1958
  • Published in the issue dated April 1959

© 1959 The American Physical Society

Authors & Affiliations

K. K. Gupta* and R. D. Lawson

  • Enrico Fermi Institute for Nuclear Studies, University of Chicago, Chicago, Illinois

  • *On leave of absence from Tata Institute of Fundamental Research, Bombay.

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