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The isobaric multiplet mass equation (IMME) is known to break down in thefirst T = 2, A = 32 isospin quintet. In this work we combine high-resolutionexperimental data with state-of-the-art shell-model calculations to investigateisospin mixing as a possible cause for this violation. The experimental dataare used to validate isospin-mixing matrix elements calculated with newlydeveloped shell-model Hamiltonians. Our analysis shows that isospin mixing withnonanalog T = 1 states contributes to the IMME breakdown, making therequirement of an anomalous cubic term inevitable for the multiplet.

Isospin Mixing and the Cubic Isobaric Multiplet Mass Equation in the Lowest T = 2, A = 32 Quintet