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The $\gamma$-gated proton spectra measured in the reactions$^{64}$Ni($^{9}$Be, p2n)$^{70}$Ga and $^{64}$Ni($^{9}$Be, pn)$^{71}$Ga, havebeen utilized to obtain the nuclear level density (NLD) of $^{71}$Ga and$^{72}$Ga nuclei by using the statistical model (SM) calculations. It is seenthat the $\gamma$-gated proton spectrum are reasonably explained by using thelarge value of the inverse level density parameter ($k$ = 11.2 MeV) in the NLDprescription of the Fermi gas (FG) model. The large value of $k$ is indicativeof the rotational enhancement, which is consistent with the earlier results inother mass regions. Furthermore, a rotational enhancement factor has beenincluded in the NLD and used in the SM calculation keeping the systematic valueof $k$=8.6 MeV and it explains the $\gamma$-gated proton spectrum nicely. Theresult clearly indicates the presence of collective enhancement in NLD.Subsequently, the NLD with collective enhancement has been utilized in theTALYS calculation, for the first time, to calculate the $^{71}$Ga(n,$\gamma$)$^{72}$Ga capture cross-section. It is observed that, while the FGmodel without the collective enhancement in the NLD for $^{72}$Ga underpredicts the capture data, with the rotational enhancement correction the FGmodel over predicts the data by similar amount at higher energies. However, inthe energy range of 0.01 MeV to 0.1 MeV, the FG model corrected for rotationalenhancement describes the data quite well. Thus, the present work indicatesthat collective enhancement, whenever required, should be taken into accountfro proper description of low energy capture cross section data.

Collective enhancement in nuclear level density of $^{72}$Ga and its effect on $^{71}$Ga(n, $\gamma$)$^{72}$Ga capture cross-section