Shell model study of high-spin states and band terminations in $^{67}$As

Abstract

In the present work, recently available experimental data for different bands of $^{67}$As [Phys. Rev. C {\bf 98}, 024313 (2018)] have been interpreted within the framework of the shell model in full $f_{5/2}pg_{9/2}$ model space using JUN45 and jj44b effective interactions. The variation of $E$ - $E_{rot}$ energy versus spin for different bands is shown to obtain useful information about band termination. We have also reported the electromagnetic transition probabilities, quadrupole and magnetic moments of $^{67}$As. Except for some tentative high-spin states, the results are in good agreement with the available experimental data.The states $29/2^+$-$45/2^+$ are described by three particles in $g_{9/2}$, while $47/2^+$ and $51/2^+$ states are described by five particles in $g_{9/2}$. The shell model results corresponding to nine tentative states such as $41/2_1^+$ and $45/2_1^+$ in band-1b; $41/2_2^+$ and $45/2_2^+$ in band-1a; $43/2_2^+$, $47/2_2^+$ and $51/2_1^+$ in band-2a; $43/2_1^+$ and $47/2_1^+$ in band-2b are reported and discussed.