Experimental constraints on $\gamma$-ray strength function of ${}^{72}$Ga from ${}^{72}\mathrm{G}\mathrm{a}(\mathrm{n},\gamma {)}^{72}\mathrm{G}\mathrm{a}$ capture data and reevaluation of Maxwellian-averaged cross sections of ${}^{71}$Ga

The $\gamma$-ray strength function of medium-mass neutron rich nuclei ${}^{72}$Ga has been extracted from the statistical Hauser-Feshbach analysis of the available capture data of ${}^{71}\mathrm{G}\mathrm{a}(n,\gamma ){}^{72}\mathrm{G}\mathrm{a}$ over the 0.01 - 3 MeV energy range with the required nuclear level density (NLD) of the ${}^{72}$Ga constraint from the work of R. Santra et al.,[\href{https://doi.org/10.1103/PhysRevC.107.064611}{Physical Review C 107, 064611 (2023)}]. The Gogny D1M model for the E1 and M1 strength functions, including low-energy upbends of ${}^{72}$Ga nuclei, is experimentally constrained in the present work. Subsequently, the Maxwellian-averaged cross section(MACS) of ${}^{71}\mathrm{G}\mathrm{a}$ has been reevaluated based on the present $\gamma$-ray strength function. It is found that the present MACS value at $kT=30$ keV is 115.35${}_{-10.44}^{+11.92}$ mb, which is consistent with previous work.