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Masses of $^{52g,52m}$Co were measured for the first time with an accuracy of$\sim 10$ keV, an unprecedented precision reached for short-lived nuclei in theisochronous mass spectrometry. Combining our results with the previous$\beta$-$\gamma$ measurements of $^{52}$Ni, the $T=2$, $J^{\pi}=0^+$ isobaricanalog state (IAS) in $^{52}$Co was newly assigned, questioning theconventional identification of IASs from the $\beta$-delayed proton emissions.Using our energy of the IAS in $^{52}$Co, the masses of the $T=2$ multiplet fitwell into the Isobaric Multiplet Mass Equation. We find that the IAS in$^{52}$Co decays predominantly via $\gamma$ transitions while the protonemission is negligibly small. According to our large-scale shell modelcalculations, this phenomenon has been interpreted to be due to very lowisospin mixing in the IAS.

physical review letters

Identification of the Lowest $T=2$, $J^{\pi=}0^+$ Isobaric Analog State  in $^{52}$Co and Its Impact on the Understanding of $\beta$-Decay Properties  of $^{52}$Ni