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The effect of nonlocal potential on the 14N(p,γ)15O reaction cross section at low energies

Phuc Hoang Nguyen 1, *
Cong Cuong Do 2
Tri Toan Phuc Nguyen 3
  1. Department of Applied Physics, Faculty of Applied Science, Ho Chi Minh City University of Technology (HCMUT)
  2. Institute for Nuclear Science and Technology, 179 Hoang Quoc Viet, Nghia Do, Ha Noi, Vietnam
  3. Department of Nuclear Physics, Faculty of Physics and Engineering Physics, University of Science, Ho Chi Minh City, Vietnam
Correspondence to: Phuc Hoang Nguyen, Department of Applied Physics, Faculty of Applied Science, Ho Chi Minh City University of Technology (HCMUT). Email: nguyenhoangphuc@hcmut.edu.vn.
Volume & Issue: Vol. 28 No. 4 (2025) | Page No.: 3888-3895 | DOI: 10.32508/stdj.v28i4.4453
Published: 2025-12-01

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This article is published with open access by Viet Nam National University, Ho Chi Minh City, Viet Nam. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.

Abstract

Introduction: The astrophysically crucial 14N(p,γ)15O reaction governs the carbon-nitrogen-oxygen (CNO) cycle rate. Reliable theoretical predictions of this reaction require careful consideration of nuclear interactions. This study examines the influence of potential nonlocal effects on the calculated astrophysical S-factor for this reaction at low energies.

Methods: The calculable R-matrix method was applied within the potential model framework to calculate the S-factor of the 14N(p,γ)15O reaction. Results obtained with a local Woods-Saxon (WS) potential were compared with those from a nonlocal Perey-Buck (PB) potential.

Results: Although both models reproduced the experimental data reasonably well, the nonlocal potential required a ~12.5% smaller spectroscopic factor for normalization. Importantly, when extrapolated to zero energy, the S-factor in the nonlocal potential case was around 14% higher than in the local potential case.

Conclusion: The significant difference in the zero-energy S-factor observed in this study indicates that potential nonlocality effects are non-negligible and must be considered for accurate calculations of the 14N(p,γ)15O reaction rate in stellar environments.

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