Intertwining of Greiner’s Theoretical Works and Our Experimental Studies

The one phonon \(\gamma \)-vibrational bands in \(^{154}\)Gd are compared with the theories existing at the time (1960) showing the best agreement with the rotation vibration model of Faessler and Greiner. In recent years experimental evidences have been found for both one, two, and possibly three phonon \(\gamma \) bands in the A \(=\) 103–110 region including the first such bands in odd N-even Z and even N-odd Z nuclei. Nuclear shape coexistence was discovered in both \(^{72}\)Se and \(^{184-188}\)Hg with the Frankfurt Generalized Collective Model reproducing the two different shapes. Cluster radioactivity predicted by Sandulescu, Poenaru and Greiner has been observed. Maximum cluster radioactivity is seen in the zero neutron emission in cold binary and ternary fission of \(^{252}\)Cf. Finally, recent super heavy discoveries of the new elements 115, 117 and 118 are described. The half lives in 117 which is closest in N to N \(=\) 184 on the Island of Stability support the theoretical predictions of the long-lived island.