Systematic study of proton-neutron pairing correlations in the nuclear shell model

A shell-model study of proton-neutron pairing in 2p1f shell nuclei using a parametrized Hamiltonian that includes deformation and spin-orbit effects as well as isoscalar and isovector pairing is reported. By working in a shell-model framework we are able to assess the role of the various modes of proton-neutron pairing in the presence of nuclear deformation without violating symmetries. Results are presented for 44Ti, 45Ti, 46Ti, 46V, and 48Cr to assess how proton-neutron pair correlations emerge under different scenarios. We also study how the presence of a one-body spin-obit interaction affects the contribution of the various pairing modesThe work of S. P., B. T., and Y. L. was supported in part by the National Science Foundation under Grant No. PHY-0854873, that of N.S. by the Romanian Ministry of Education and Research through CNCSIS Grant Idei No. 1975, that of A. P. by the Projects No. FPA2009-13377 MICINN(Spain) and No. HEPHACOS S2009/ESP-1473 Comunidad de Madrid(Spain), and that of Y. M. Z. and Y. L. by the National Science Foundation of China under Grant No. 10975096 and by the Chinese Major State Basic Research Developing Program under Grant No. 2007CB81500