Hyperspherical harmonics and electric dipole sum rules for the triton

Karen J. Myers, K. K. Fang, and J. S. Levinger
Phys. Rev. C 15, 1215 – Published 1 April 1977
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Abstract

We use expansions in hyperspherical harmonics to calculate electric dipole transitions in the triton photoeffect. Gunn's ground state wave function is used with a Born approximation; the resulting cross section is compared with sum-rule calculations. We also use Ballot's ground state wave function for the spin-independent Volkov potential, in Born approximation, and combined with a continuum wave function for grand orbital one for the Volkov potential assumed to have Wigner character. The latter assumption gives an integrated cross section only 6% larger than the Thomas-Reiche-Kuhn sum rule; i.e., the severe truncation has only a small effect.

NUCLEAR REACTIONS Triton; calculated photoeffect; hyperspherical harmonics; sum rules.

  • Received 11 August 1976

DOI:https://doi.org/10.1103/PhysRevC.15.1215

©1977 American Physical Society

Authors & Affiliations

Karen J. Myers, K. K. Fang*,†, and J. S. Levinger

  • Department of Physics, Rensselaer Polytechnic Institute, Troy, New York 12181

  • *This paper is based in part on the Ph.D. thesis of K.K. Fang, Rensselaer Polytechnic Institute (1976).
  • Now at the University of Saskatchewan, Saskatoon, Sask.

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Vol. 15, Iss. 4 — April 1977

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