"Seniority-Zero" Excited States of the Pairing Hamiltonian

Phys. Rev. 138, B326 – Published 26 April 1965
R. R. Chasman

Abstract

The seniority-zero excited-state spectrum of the Hamiltonian H=Σk>0εk(akak+a-ka-k)-G Σk,l>0aka-ka-lal is studied in detail. Approximate excited-state wave functions of the form ψλ=ΣαF(λ,α)ΣiD(α,i)aia-iΣj>iD(α,j)aja-j|0 are developed. These solutions are compared with exact solutions of a small system and the agreement is quite good. A somewhat larger system is studied in order to see how the excited-state spectrum changes as the number of separable functions is increased. The method is applied to heavy nuclei and is in good agreement with observed 0+ excited states for nuclei having 144 to 150 neutrons. A theoretical 0+ spectrum is displayed for each even neutron system from 144 to 152 neutrons.

DOI: http://dx.doi.org/10.1103/PhysRev.138.B326

  • Received 10 November 1964
  • Published in the issue dated April 1965

© 1965 The American Physical Society

Authors & Affiliations

R. R. Chasman

  • Argonne National Laboratory, Argonne, Illinois

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