Proton-neutron pairing in the deformed BCS approach

Abstract

We examine isovector and isoscalar proton-neutron pairing correlations for the ground state of even-even Ge isotopes with mass number A=64-76 within the deformed BCS approach. For N=Z 64Ge the BCS solution with only T=0 proton-neutron pairs is found. For other nuclear systems (N>Z) a coexistence of a T=0 and T=1 pairs in the BCS wave function is observed. A problem of fixing of strengths of isoscalar and isovector pairing interactions is addressed. A dependence of number of like and unlike pairs in the BCS ground state on the difference between number of neutrons and protons is discussed. We found that for nuclei with N much bigger than Z the effect of proton-neutron pairing is small but not negligible.

24 pages, 6 figures

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Cited by in corpus (14)

• Two-neutrino double beta decay of 76Ge within deformed QRPA: A new suppression mechanism
• Shape coexistence in even-even nuclei: A theoretical overview
• The Majorana neutrino masses, neutrinoless double beta decay and nuclear matrix elements
• Emergent Collectivity in Nuclei and Enhanced Proton-Neutron Interactions
• Neutrino reactions via neutral and charged current by Quasi-particle Random Phase Approximation(QRPA)
• Isovector and isoscalar proton-neutron pairing in $N>Z$ nuclei
• Exact isovector pairing in a shell-model framework: Role of proton-neutron correlations in isobaric analog states
• Empirical pairing gaps and neutron-proton correlations
• Overlap of electron shells in $\beta$ and double-$\beta$ decays
• Competition of deformation and neutron-proton pairing in Gamow-Teller transitions for ${}^{56,58}$Ni and ${}^{62,64}$Ni
• The effects of deformation and pairing correlations on nuclear charge form factor
• Proton-neutron pairing and binding energies of nuclei close to N=Z line
• A Semi-Empirical Formula for Two-Neutrino Double-Beta Decay
• Reentrance of proton-neutron pairing in hot nuclear systems