From local correlations to regional systematics

TL;DR

This paper demonstrates that local correlations in nuclear excitation energies and transition probabilities follow linear systematics in a logarithmic scale, and reveals smooth regional patterns in proton and neutron contributions beyond traditional models.

Contribution

It introduces a method to decouple local nuclear correlations into separate proton and neutron contributions, extending understanding beyond the $N_pN_n$ scheme.

Findings

Local correlations follow linear $N_pN_n$ systematics in a logarithmic scale.

Decoupling of energies reveals smooth regional proton and neutron contributions.

Experimental survey confirms the systematic patterns.

Abstract

Local correlations of $2^+_1$ excitation energies and B(E2, $2^+_1\rightarrow \text{ g.s.}$) values require linear $N_pN_n$ systematics in a logarithmic scale, as confirmed by an experiment survey. Based on local correlations of $\alpha$-decay energies, neutron separation energies, and proton separation energies, one can decouple them into their proton and neutron contributions separately. These contributions exhibit smooth regional systematics beyond the $N_pN_n$ scheme.