DEPARTMENT OF NUCLEAR PHYSICS - NUCLEAR ENGINEERING - MEDICAL PHYSICS

Application of the Calculable R-matrix to Study the ^{12, 13}C(p,γ)^{13, 14}N Reaction

Nguyen Hoang Phuc, Nguyen Tri Toan Phuc, Do Cong Cuong

Few-Body Systems (2026) 67:15

Abstract

We apply the calculable R-matrix method to determine the cross sections of the ^{12, 13}C(p, γ)^{13, 14}N reactions using both local Woods-Saxon (WS) and nonlocal Perey-Buck (PB) potentials. Benchmark calculations are first performed for the ¹²C(p, γ)¹³N reaction, and the results show good agreement with the standard codes FRESCO and RADCAP, as well as with recent calculations in other works. Furthermore, the method is applied to investigate the ¹³C(p, γ)¹⁴N reaction. Analysis of the astrophysical S-factors for both reactions indicates no significant difference between the local and nonlocal potential calculations, with discrepancies limited to approximately 7%–8%. The successful application of the calculable R-matrix method to these (p, γ) processes provides a framework for future studies involving nonlocal potentials derived from microscopic models.

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