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The results of a study of the beta decays of three proton-rich nuclei with$T_z=\text{-}2$, namely $^{48}$Fe, $^{52}$Ni and $^{56}$Zn, produced in anexperiment carried out at GANIL, are reported. In all three cases we haveextracted the half-lives and the total $\beta$-delayed proton emissionbranching ratios. We have measured the individual $\beta$-delayed protons and$\beta$-delayed $\gamma$ rays and the branching ratios of the correspondinglevels. Decay schemes have been determined for the three nuclei, and new energylevels are identified in the daughter nuclei. Competition between$\beta$-delayed protons and $\gamma$ rays is observed in the de-excitation ofthe $T=2$ Isobaric Analogue States in all three cases. Absolute Fermi andGamow-Teller transition strengths have been determined. The mass excesses ofthe nuclei under study have been deduced. In addition, we discuss in detail thedata analysis taking as a test case $^{56}$Zn, where the exotic $\beta$-delayed$\gamma$-proton decay has been observed.

Beta decay of the exotic $T_z$ = -2 nuclei $^{48}$Fe, $^{52}$Ni and $^{56}$Zn