Abstract
The ground states of even-even nuclei are determined with the isospin generalized BCS equations and the HFB equation. The calculations permit the simultaneous existence of the following Cooper pairs: and where the two nucleons in a pair occupy space-spin orbitals which are related by time reversal, as well as where the two nucleons are in identical space-spin orbitals. There is a transition from Cooper pairs at the beginning of this isotope sequence to Cooper pairs at the end of the sequence. Near the middle of the isotope sequence, there is coexistence of a pair superfluid and a 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 pairing.
- Received 29 December 1998
DOI:https://doi.org/10.1103/PhysRevC.60.014311
©1999 American Physical Society