Deformed shell model study of heavy N=Z nuclei and dark matter detection

Abstract

Deformed shell model (DSM) based on Hartree-Fock intrinsic states is applied to address two current problems of interest. Firstly, in the $f_{5/2}p{g}_{9/2}$ model space with jj44b effective interaction along with isospin projection, DSM is used to describe the structure of the recently observed low-lying $T=0$ and $T=1$ bands in the heavy odd-odd N=Z nucleus ${}^{66}$As. DSM results are close to the data and also to the shell model results. For the $T=1$ band, DSM predicts structural change at $8^{+}$ just as in the shell model. In addition, the lowest two $T=0$ bands are found to have quasi-deuteron structure above a ${}^{64}$Ge core and the $5^{+}$ and $9^{+}$ levels of the third $T=0$ band are found to be isomeric states. Secondly, in a first application of DSM to dark matter, detection rates for the lightest supersymmetric particle (a dark matter candidate) are calculated with ${}^{73}$Ge as the detector.

Comments: 12 pages, 3 figures and one table; Article for the invited talk (by R Sahu) given in the 35th International Workshop on "Nuclear Theory" held at Rila Mountains (Sofia, Bulgaria) during June 26 to July 2nd, 2016