Neutron-proton pairing correction in the extended isovector and isoscalar pairing model

Pan, Feng; He, Yingwen; Wu, Yang; Wang, Yu; Launey, Kristina D.; Draayer, J. P.

doi:10.1103/physrevc.102.044306

Cited by 5 publications

(1 citation statement)

References 43 publications

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“…In order to reveal the actual np-pair contents in these N∼Z nuclei, other O(5) seniority-nonzero configurations must be considered, for which an alternative O(8) model [56][57][58] should be more convenient. Nevertheless, as has been shown in our recent work on the O(8) model [59], not only the binding energies and the low-lying J π = 0 + level energies shown in Tables 2 and 3, but also the isovector pairing energy contributions to the binding energies provided in Table 4 are the same as those calculated from the O(8) model, where the isoscalar np-pairs are also involved. Therefore, the conclusion of the present work on the isovector pairing energy contribution to the binding energies of these ds-shell nuclei is still valid even in the presence of isoscalar np-pairs.…”

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confidence: 72%

np-Pair Correlations in the Isovector Pairing Model

Pan

Dai

et al. 2021

Symmetry

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A diagonalization scheme for the shell model mean-field plus isovector pairing Hamiltonian in the O(5) tensor product basis of the quasi-spin SUΛ(2) ⊗ SUI(2) chain is proposed. The advantage of the diagonalization scheme lies in the fact that not only can the isospin-conserved, charge-independent isovector pairing interaction be analyzed, but also the isospin symmetry breaking cases. More importantly, the number operator of the np-pairs can be realized in this neutron and proton quasi-spin basis, with which the np-pair occupation number and its fluctuation at the J = 0+ ground state of the model can be evaluated. As examples of the application, binding energies and low-lying J = 0+ excited states of the even–even and odd–odd N∼Z ds-shell nuclei are fit in the model with the charge-independent approximation, from which the neutron–proton pairing contribution to the binding energy in the ds-shell nuclei is estimated. It is observed that the decrease in the double binding-energy difference for the odd–odd nuclei is mainly due to the symmetry energy and Wigner energy contribution to the binding energy that alter the pairing staggering patten. The np-pair amplitudes in the np-pair stripping or picking-up process of these N = Z nuclei are also calculated.

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