Partial-wave contributions to pairing in nuclei

Abstract

We present a detailed study of partial-wave contributions of nuclear forces to pairing in nuclei. For T=1, J=0 pairing, partial waves beyond the standard 1S0 channel play an interesting role for the pair formation in nuclei. The additional contributions are dominated by the repulsive 3P1 partial wave. Their effects, and generally spin-triplet nuclear forces between paired nucleons, are influenced by the interplay of spin-orbit partners. We explore the impact of including partial waves beyond the 1S0 channel on neutron-neutron pairing gaps in semi-magic isotopic chains. In addition, we show that nuclear forces favor T=1, J=0 over T=0, J=1 pairing, except in low-j orbitals. This is in contrast to the free-space motivation that suggests the formation of deuteron-like T=0 pairs in N=Z nuclei. The suppression of T=0 pairing is because the 3S1 strength is distributed on spin-orbit partners and because of the effects of the repulsive 1P1 channel and of D waves.

10 pages, 16 figures

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• Toward ab initio density functional theory for nuclei
• Low-momentum interactions with smooth cutoffs
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• Non-empirical pairing functional
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• Deformation effects on the coexistence between neutron-proton and particle like pairing in N=Z medium mass nuclei
• A new statistical method for the structure of the inner crust of neutron stars
• Chiral three-nucleon forces and pairing in nuclei
• Proton and neutron correlations in ${}^{10}$B
• Probing the pairing interaction through two-neutron transfer reactions
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• From odd-even staggering to the pairing gap in neutron matter
• Neutron-proton pairing in the N=Z radioactive fp-shell nuclei 56Ni and 52Fe probed by pair transfer
• Symmetry Restoration in Mixed-Spin Paired Heavy Nuclei
• Isoscalar and isovector neutron-proton pairing
• Pairing in Nuclear Matter and Finite Nuclei
• The BCS pairing gap in the on-shell limit of the Similarity Renormalization Group