Coriolis mixing of the K=1 and K=0 mixed symmetry states in the well deformed even-even nuclei

TL;DR

This paper calculates the Coriolis matrix elements responsible for mixing specific nuclear states in Gd and Dy isotopes, revealing potential deviations from Alaga rules in M1 transitions, using the Quasiparticle Phonon Model.

Contribution

It provides detailed calculations of Coriolis mixing matrix elements in well-deformed nuclei, highlighting their significance and suggesting experimental implications.

Findings

Coriolis matrix elements are several tens of keV.

These matrix elements are comparable to energy level spacings.

Gd isotopes are promising for observing deviations from Alaga rules.

Abstract

The Coriolis matrix elements responsible for mixing of the $1^+ K=1$ and $1^+ K=0$ states are calculated in the framework of the Quasiparticle Phonon Model for several Gd and Dy isotopes. In many considered cases these matrix elements are equal to several tens of keV and are comparable with energy distances between the mixed levels. The results obtained indicates that Gd isotopes could be more suitable for finding deviations from Alaga rules in M1 transitions from $1^+$ state to the states of the ground band.