$N_p{N}_n$ scheme and the valence proton-neutron interaction

Abstract

We examine the common belief that the $N_p{N}_n$ scheme is manifested as a direct consequence of the valence proton-neutron interaction which has proven to be a dominant factor in developing collectivity in nuclei. We show that the simplification of the $N_p{N}_n$-plot of the lowest $2^{+}$ excitation energy is introduced merely because the excitation energy always decreases when the valence nucleon number becomes larger.

10 pages, 6 figures