Proton-neutron pairing in Z=N nuclei with A=7696

Alan L. Goodman
Phys. Rev. C 60, 014311 – Published 16 June 1999
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Abstract

The ground states of even-even Z=N nuclei are determined with the isospin generalized BCS equations and the HFB equation. The calculations permit the simultaneous existence of the following Cooper pairs: pp, nn, pn(T=1), and pn(T=0) where the two nucleons in a pair occupy space-spin orbitals which are related by time reversal, as well as pn(T=0) where the two nucleons are in identical space-spin orbitals. There is a transition from T=1 Cooper pairs at the beginning of this isotope sequence to T=0 Cooper pairs at the end of the sequence. Near the middle of the isotope sequence, there is coexistence of a T=0 pair superfluid and a T=1 pair superfluid in the same wave function. The fluctuation in the particle number is reduced if the wave function contains proton-neutron pairing. The fluctuation in the isospin is eliminated and isospin is conserved if the wave function contains only T=0 pairing.

  • Received 29 December 1998

DOI:https://doi.org/10.1103/PhysRevC.60.014311

©1999 American Physical Society

Authors & Affiliations

Alan L. Goodman

  • Department of Physics, Tulane University, New Orleans, Louisiana 70118

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Vol. 60, Iss. 1 — July 1999

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