Empirical formula applied to the lowest excitation energies of the natural parity odd multipole states in even-even nuclei

TL;DR

This paper demonstrates that a recently proposed empirical formula effectively describes the lowest excitation energies of natural parity odd multipole states in even-even nuclei, extending its applicability beyond even multipole states.

Contribution

The study shows that the empirical formula, previously successful for even multipole states, also reasonably models odd multipole states across the entire periodic table.

Findings

Empirical formula fits odd multipole excitation energies with reasonable accuracy.

Systematic behavior of odd multipole energies differs from even multipole states.

Few exceptions where the formula does not fit well.

Abstract

We applied our recently proposed empirical formula, a formula quite successful in describing essential trends of the lowest excitation energies of the natural parity even multipole states, to the lowest excitation energies of the natural parity odd multipole states in even-even nuclei throughout the entire periodic table. Even though the systematic behavior of the lowest excitation energies of odd multipole states is quite different from those of even multipole states, we have shown that the same empirical formula also holds reasonably well for the odd multipole states with the exception of a few certain instances.