$\mathrm{SU}\mathrm{}\left(4\right)\mathrm{}$ symmetry and Wigner energy in the infinite nuclear matter mass model

The measures for SU(4) symmetry and the Wigner energy, in terms of double binding energy differences, for even-even and odd-odd nuclei in $A=56\mathrm{}–100$ mass region are studied using the infinite nuclear matter (INM) mass model of atomic nuclei. The INM model predicts that the SU(4) symmetry is broken in even-even nuclei but remnants of this symmetry should be present in $N=Z$ odd-odd nuclei in this region. Similarly, the estimates of the Wigner energy indicate that the $T=0\mathrm{}$ states in these nuclei should start appearing around 0.5 MeV above the ground states that are $T=1\mathrm{}$ in nature.