Isospin symmetry breaking in an algebraic pairing Sp(4) model

Abstract

An exactly solvable $\mathfrak{sp}(4)$ algebraic approach extends beyond the traditional isospin-conserving nuclear interaction to bring forward effects of isospin symmetry breaking and isospin mixing resulting from a two-body nuclear interaction that includes proton-neutron (pn) and like-particle isovector pairing correlations plus significant isoscalar pn interactions. The model yields an estimate for the extent to which isobaric analog ${0}^{+}$ states in light and medium-mass nuclei may mix with one another and reveals possible, but still extremely weak, nonanalog $\ensuremath{\beta}$-decay transitions.