# The Cross Section Calculation of the $^{112}$Sn($\alpha$,$\gamma$)$^{116}$Te Reaction with Different Nuclear Models at the Astrophysical Energy Range

## TL;DR

This study calculates the astrophysical cross sections for the $^{112}$Sn($ ext{α}$,$ ext{γ}$)$^{116}$Te reaction using various nuclear models, comparing results with experimental data to identify the most accurate models for $p$ process nucleosynthesis.

## Contribution

It evaluates different nuclear models to accurately predict the $^{112}$Sn($ ext{α}$,$ ext{γ}$)$^{116}$Te reaction cross sections at astrophysical energies, enhancing $p$ process simulations.

## Key findings

- Dispersive optical model potential best matches experimental data.
- Level density and strength function models significantly affect cross section calculations.
- Calculated reaction rates align with existing reaction rate libraries at astrophysical temperatures.

## Abstract

The theoretical cross section calculations for the astrophysical $p$ process are needed because the most of the related reactions are technically very difficult to be measured in the laboratory. Even if the reaction was measured, most of the measured reactions have been carried out at the higher energy range from the astrophysical energies. Therefore, almost all cross sections needed for $p$ process simulation has to be theoretically calculated or extrapolated to the astrophysical energies. The $^{112}$Sn($\alpha$,$\gamma$)$^{116}$Te is an important reaction for the $p$ process nucleosynthesis. The theoretical cross section of the $^{112}$Sn($\alpha$,$\gamma$)$^{116}$Te reaction was investigated for different global optical model potentials, level density and strength function models at the astrophysically interested energies. Astrophysical $S$ factors were calculated and compared with experimental data available in EXFOR database. The calculation with the optical model potential of the dispersive model by Demetriou et al., and Back-shifted Fermi gas level density model and Brink-Axel Lorentzian strength function model best served to reproduce experimental results at astrophysically relevant energy region. The reaction rates were calculated with these model parameters at the $p$ process temperature and compared with the current version of the reaction rate library Reaclib and Starlib.