Wobbling motion in $^{165,167}$Lu within a semi-classical framework

TL;DR

This paper uses a semi-classical approach to analyze wobbling motion in $^{165,167}$Lu, successfully describing excitation energies, transition probabilities, and angular momentum properties consistent with experimental data.

Contribution

It introduces a semi-classical formalism that accurately models wobbling motion and related properties in $^{165,167}$Lu, extending understanding of nuclear dynamics in these isotopes.

Findings

Semi-classical formalism reproduces experimental excitation energies.

Transition probabilities and quadrupole moments match observed data.

Provides a realistic description of wobbling features in $^{165,167}$Lu.

Abstract

The results obtained for $^{165,167}$Lu with a semi-classical formalism are presented. Properties like excitation energies for the super-deformed bands TSD1, TSD2, TSD3, in $^{165}$Lu, and TSD1 and TSD2 for $^{167}$Lu, inter- and intra-band B(E2) and B(M1), the mixing ratios, transition quadrupole moments are compared either with the corresponding experimental data or with those obtained for $^{163}$Lu. Also alignments, dynamic moments of inertia, relative energy to a reference energy of a rigid symmetric rotor with an effective moment of inertia and the angle between the angular momenta of the core and odd nucleon were quantitatively studied. One concludes that the semi-classical formalism provides a realistic description of all known wobbling features in $^{165, 167}$Lu.