Eigenvalues of the Nuclear Pairing Hamiltonian

Phys. Rev. 132, 343 – Published 1 October 1963
Richard R. Chasman

Abstract

A new technique is developed in this paper for solving Hamiltonians of the form H=Σk>0εk(ak+ak+a-k+a-k)-Σk,l>0G(k,l)ak+a-k+a-lal, where G(k, l) may have the forms: G(k, l)=G (independent of k and l), G(k, l)=GkGl, or G(k, l)=G(k, l) (nonseparable in k and l). The eigenvalues obtained with this technique are compared with the exact solutions of Kerman, Lawson, and Macfarlane. The agreement with the exact solutions is fairly good.

DOI: http://dx.doi.org/10.1103/PhysRev.132.343

  • Received 23 May 1963
  • Published in the issue dated October 1963

© 1963 The American Physical Society

Authors & Affiliations

Richard R. Chasman

  • Argonne National Laboratory, Argonne, Illinois

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