Three-body model for an isoscalar spin-triplet neutron-proton pair in ${}^{102}\mathrm{Sb}$

Abstract

We discuss the isoscalar $T=0,S=1$ pairing correlation in the low-lying states of ${}^{102}\mathrm{Sb}={}^{100}\mathrm{Sn}+p+n$ nucleus. To this end, we employ $\mathrm{core}+p+n$ three-body model with the model space constructed by self-consistent mean-field calculations. The model is developed with both non-relativistic and relativistic effective interactions, the latter of which are found to be more realistic for the present case due to the pseudo-spin symmetry. It turns out that the $(L,S,T)=(0,1,0)$ pairing scheme is strongly hindered in ${}^{102}$Sb with the relativistic model because of the near degeneracy of the $g_{7/2}$ and $d_{5/2}$ orbitals in the valence space. This pair-breaking effect is clearly seen in the charge-exchange Gamow-Teller-type transitions rather than in the binding energies of $T=0$ and $T=1$ states.

12 pages, 10 figures. The title has been changed. Accepted for publication in Phys. Rev. C

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Cited by in corpus (1)

• Spin-triplet proton-neutron pair in spin-dipole excitations