Cluster states at low excitation energy in S34

Abstract

Large basis shell model calculations with various particle truncations have been carried out to identify the $^{30}\mathrm{Si}+\ensuremath{\alpha}$ cluster states at lower excitation energy ($<12$ MeV) in the non-$\ensuremath{\alpha}$-conjugate nucleus $^{34}\mathrm{S}$. The states of interest in $^{34}\mathrm{S}$ have been calculated and correlated to the cluster SD states in $^{35}\mathrm{Cl}$ and $^{36}\mathrm{Ar}$ in terms of one and two nucleon transfer spectroscopic factors, respectively, obtained from large basis shell model calculations.