Identification of low-spin states inSb111: Test of spin-orbit coupling in light nuclei

New low-spin levels in ${}^{111}\mathrm{Sb}$ have been identified following the ${\beta }^{+}$/EC decay of proton-rich ${}^{111}\mathrm{Te}$. ${}^{111}\mathrm{Te}$ was produced in the ${}^{58}\mathrm{Ni}$(${}^{56}\mathrm{Fe}$, $2\mathit{pn}$)${}^{111}\mathrm{Te}$ reaction and separated using the fragment mass analyzer at Argonne National Laboratory. γ-ray singles and $\gamma \text{−}\gamma$ coincidence spectra were collected as a function of time. Eleven new levels in ${}^{111}\mathrm{Sb}$ were identified, including levels at 487 and 881 keV that have been tentatively assigned spins and parities of $1/2^{+}$ and $3/2^{+}$, respectively. Shell-model calculations have been performed in which the single-particle $d_{3/2}$ and $s_{1/2}$ basis levels were adjusted to fit the observed positions of the low-energy $1/2^{+}$ and $3/2^{+}$ levels in ${}^{109}\mathrm{Sb}$ and ${}^{111}\mathrm{Sb}$. Good agreement for the known yrast $1/2^{+}$, $3/2^{+}$, $5/2^{+}$, $7/2^{+}$, and $9/2^{+}$ levels in ${}^{105,107,109,111}\mathrm{Sb}$ is obtained.