Analysis of (p,$γ$) capture cross-sections relevant to p-process using TALYS for A=75-110

Abstract

The proton capture (p, $γ$) cross-sections for eight different atomic nuclei in the mass region A=75-110 were calculated within the nuclear reaction model code TALYS. For all the reactions, we tested different combinations of inputs for level density (l.d) parameter and gamma strength function ($γ_{sf}$). Finally, it was observed that application of hybrid input in TALYS (macroscopic l.d and microscopic or semi-microscopic $γ_{sf}$ or in abbreviation mac-mic) resulted successful agreement of theoretical prediction with the existing experimental data. Isospin correction was also incorporated in a few cases which improved the matching if the centre of mass energy reaches the threshold energy of the opening of (p,n) channel. The corresponding thermonuclear reaction rates were calculated for all the nuclei and some discrepancies were found with the prediction of the NON-SMOKER code. Using the particular mac-mic input combination, the cross-section and reaction rate for the nuclei $^{92}$Nb and $^{92}$Mo are calculated within TALYS. These two nuclei lack experimental data but are highly important for understanding early solar system processes. This is a rare attempt to explain the p-capture cross-section of different p-nuclei (A=75-110 range) with similar set of input combinations in TALYS, which may help to remove the uncertainty generated due to the variation of input parameters within nuclear statistical model code