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An exactly solvable 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 β-decay transitions. © 2005 The American Physical Society.

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Physical Review C - Nuclear Physics