Magnetic Dipole Transitions with the Full Skyrme Interaction

TL;DR

This paper uses the TDHF method with various Skyrme interactions to predict M1 strength functions in $^{52}$Cr, highlighting the importance of tensor terms in shaping the energy distribution of transitions.

Contribution

It demonstrates the application of TDHF with full Skyrme interactions, including tensor forces, to accurately predict M1 strength functions in a specific nucleus.

Findings

Broad agreement with experimental M1 strength data

Tensor terms significantly influence the strength distribution between 8 and 12 MeV

Method effectively captures the energy range of M1 excitations

Abstract

The purpose of this paper is to investigate the use of the TDHF method with different Skryme force interactions for the prediction of the M1 strength function associated with $^{52}$Cr, in particular due to the tensor part of the Skyrme force.$^{52}$Cr was chosen due to the recent interest experimentally in this nucleus and the clear data avaliable for comparison. The method used involves applying an instantaneous boost to the wavefunction at the beginning of the dynamical calculations in order to initiate a broadband excitation of the nucleus, following which a Fourier analysis is made. The results of the TDHF simulation found broad agreement with experiment for the range of energies which excite an M1 transition for a variety of forces. The tensor terms appear to be important in qualitatively changing the details of the strength distribution in the main part of the strength function between around 8 and 12 MeV.