Isobaric analog resonances of theN=21nucleus35Si

Abstract

Neutron single-particle states in the neutron-rich nucleus ${}^{35}$Si, which is located beside the $N=20$ shell breaking nucleus ${}^{32}$Mg, were investigated through their isobaric analog resonances. The excitation function for ${}^{34}$Si$+p$ elastic scattering was measured around ${0}^{\ensuremath{\circ}}$ in the laboratory frame by the thick target inverse kinematics method with a ${}^{34}$Si beam around 5 MeV/nucleon and a thick polyethylene target. Eight resonances were successfully observed. Angular momenta and proton and total widths of the resonances were assigned using $R$-matrix analysis. With the help of information of the $\ensuremath{\beta}$ decay study, six isobaric analog resonances were identified. Spectroscopic factors and spin-parities of the corresponding parent states in ${}^{35}$Si are presented.