Application of the $R$-matrix method to determine the $(p,\gamma)$ cross-section

Hoang Phuc Nguyen

doi:10.15625/0868-3166/22929

Author affiliations

Authors

Nguyen Hoang Phuc $^1$Department of Applied Physics, Faculty of Applied Science, Ho Chi Minh City University of Technology (HCMUT), 268 Ly Thuong Kiet Street, Dien Hong Ward, Ho Chi Minh City, Vietnam;
$^2$Vietnam National University Ho Chi Minh City, Linh Xuan Ward, Ho Chi Minh City, Vietnam https://orcid.org/0009-0008-3766-7788

DOI:

https://doi.org/10.15625/0868-3166/22929

Keywords:

($p,\gamma$) reaction, calculable $R$-matrix, local potential, nonlocal potential

Abstract

We apply the calculable $R$-matrix method to determine the $p,\Gamma$ cross section. We compare our cross-section calculation for the benchmark $^{12}$C$(p,\gamma)^{13}$N reaction with results from the widely used FRESCO and RADCAP codes, which use the conventional Numerov method. Our calculations are in good agreement with these codes. Furthermore, we extend the calculable $R$-matrix method to accommodate non-local potentials.

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