CENTER-OF-GRAVITY THEOREM IN NUCLEAR SPECTROSCOPY

The j-j coupling shell model implies the existence of certain geometrical relations among the spectra of neighboring nuclei. One such relationship between states of a nucleus that is one proton or neutron away from a closed shell with states of the corresponding closed-shell nucleus is considered. Use of this relationship has enabled us to predict excited-state spins for several nuclei, most of which are in the vicinity of mass number 60. In two cases the existence of states that have not been observed is predictcd. (auth)