Generalization of the $N_p{N}_n$ Scheme and the Structure of the Valence Space

Abstract

The $N_p{N}_n$ scheme, which has been extensively applied to even-even nuclei, is found to be a very good benchmark for odd-even, even-odd, and doubly-odd nuclei as well. There are no apparent shifts in the correlations for these four classes of nuclei. The compact correlations highlight the deviant behavior of the Z=78 nuclei, are used to deduce effective valence proton numbers near Z=64, and to study the evolution of the Z=64 subshell gap.

10 pages, 4 figures

Cited by in corpus (11)

• New $\alpha$-Emitting Isotope ${}^{214}$U and Abnormal Enhancement of $\alpha$-Particle Clustering in Lightest Uranium Isotopes
• Systematic study of favored α-decay half-lives of closed shell odd-A and doubly-odd nuclei related to ground and isomeric states
• Systematic study of unfavored $\alpha$ decay half-lives of closed shell nuclei related to ground and isomeric states
• Spectroscopic factors for alpha decay in the $N_p{N}_n$ scheme
• Residual proton-neutron interactions and the $N_{\mathrm{p}}{N}_{\mathrm{n}}$ scheme
• N_p N_n Scheme Based on New Empirical Formula for Excitation Energy
• Generalization of the $N_p{N}_n$ scheme to non-yrast levels of even-even nuclei
• Origin of $2_1^{+}$ Excitation Energy Dependence on Valence Nucleon Numbers
• N_pN_n dependence of empirical formula for the lowest excitation energy of the 2^+ states in even-even nuclei
• From local correlations to regional systematics
• Concentrated valence nucleons transfer in heavy-ion collisions: implications for questing the stable superheavy elements