English

Physical features of strength of isoscalar pairing interaction determined by relation between double charge change and double pair transfer

Nuclear Theory 2020-12-04 v1 Nuclear Experiment

Abstract

A new method has been proposed to determine the strength of the isoscalar proton-neutron pairing interaction applicable to many nuclei. The principle is the equivalence between the double charge change and the double transfer of like-particle pair, and a constraint is derived to the effective interactions used in approximations. This method was applied to the quasiparticle random-phase approximation for determining that interaction strength. In this paper, detail of this method is explained thoroughly, and applications are made to nuclei of several instances of the double-β\beta decays. The systematics of the strengths determined for those nuclei is understood in terms of a midshell effect. The effect of the new interaction strength is examined in two examples of the Gamow-Teller strength function with comparisons with the experimental data. The nuclear matrix elements of the neutrinoless double-β\beta decay are also calculated.

Keywords

Cite

@article{arxiv.2003.03542,
  title  = {Physical features of strength of isoscalar pairing interaction determined by relation between double charge change and double pair transfer},
  author = {J. Terasaki},
  journal= {arXiv preprint arXiv:2003.03542},
  year   = {2020}
}

Comments

18 pages, 8 figures