Home Semi-empirical cross-sections and astrophysical S-factor values of 7Be(p, γ)8B reaction in the low energy range
Article
Licensed
Unlicensed Requires Authentication

Semi-empirical cross-sections and astrophysical S-factor values of 7Be(p, γ)8B reaction in the low energy range

  • Ercan Yildiz ORCID logo EMAIL logo
Published/Copyright: June 16, 2025

Abstract

The reaction 7Be(p,γ)8B plays a significant role in the evaluation of solar neutrino fluxes. Therefore, this reaction has a significant place in the proton-proton chain. Particularly at low energies, the reaction cross-sections and astrophysical S-factor values play a crucial role to explain its effects in the proton-proton chain. TALYS 1.95 nuclear reaction code were used to calculate theoretical cross-sections which are used to obtain both theoretical astrophysical s-factors and semi-empirical formula. In this way, more suitable estimates are made for the low energy range. The obtained results were analyzed in comparison with experimental data extracted from the EXFOR nuclear database.


Corresponding author: Ercan Yildiz, Vocational School of Health Services, Kahramanmaras Sutcu Imam University, Kahramanmaras, Türkiye; and Department of Material Science and Engineering, Graduate School of Natural and Applied Sciences, Kahramanmaraş Sütcü Imam University, Kahramanmaraş, Türkiye, E-mail: 

  1. Research ethics: Not applicable.

  2. Informed consent: Not applicable.

  3. Author contributions: The author has accepted responsibility for the entire content of this manuscript and approved its submission.

  4. Use of Large Language Models, AI and Machine Learning Tools: None declared.

  5. Conflict of interest: The author states no conflict of interest.

  6. Research funding: None declared.

  7. Data availability: Not applicable.

References

[1] Francis LeBlanc, An Introduction to Stellar Astrophysics, Hoboken, Wiley, 2011.Search in Google Scholar

[2] E. M. Burbidge, G. R. Burbidge, W. A. Fowler, and F. Hoyle, “Synthesis of the elements in stars,” Rev. Mod. Phys., vol. 29, no. 4, pp. 547–650, 1957. https://doi.org/10.1103/RevModPhys.29.547.Search in Google Scholar

[3] R. H. Cyburt, B. D. Fields, K. A. Olive, and T. H. Yeh, “Big bang nucleosynthesis: present status,” Rev. Mod. Phys., vol. 88, no. 1, 2016. https://doi.org/10.1103/RevModPhys.88.015004.Search in Google Scholar

[4] J. N. Bahcall and M. H. Pinsonneault, “Standard solar models, with and without helium diffusion, and the solar neutrino problem,” Rev. Mod. Phys., vol. 64, p. 885, 1992. https://doi.org/10.1103/RevModPhys.64.885.Search in Google Scholar

[5] D. D. K. B. W. Filippone, A. J. Elwyn, C. N. Davids, and D. D. Koetke, “Proton capture cross section of 7Be and the flux of high energy solar neutrinos,” Phy. Rev., Part C, vol. 28, no. 5, p. 2222, 1983. https://doi.org/10.1103/PhysRevC.28.2222.Search in Google Scholar

[6] R. Shyam and I. J. Thompson, “Break up of 8B and the 7Be(p,γ)8B reaction,” Phys. Rev. C, vol. 59, no. 2, pp. 595–606, 1999. https://doi.org/10.1103/PhysRevC.59.595.Search in Google Scholar

[7] A. J. Koning and S. Hilaire, “TALYS–1.8: a nuclear reaction program,” 2017. [Online]. Available: https://tendl.web.psi.ch/tendl_2017/talys.html.Search in Google Scholar

[8] S. Küçüksucu, M. Yiğit, and N. Paar, “Statistical Hauser-Feshbach model description of (n, α) reaction cross sections for the weak s-process,” Universe, vol. 8, no. 1, pp. 1–25, 2022. https://doi.org/10.3390/universe8010025.Search in Google Scholar

[9] N. G. Nicolis and G. Zafeiri, “A study of proton-induced reactions on natural Silicon targets,” HNPS Adv. Nucl. Phys., vol. 29, no. 1, pp. 204–207, 2023. https://doi.org/10.12681/hnpsanp.5086.Search in Google Scholar

[10] H. Sahan, M. Sahan, and E. Tel, “Calculations of (n,2n) reaction cross sections for Barium isotopes from 5 to 20 MeV,” in EPJ Web of Conferences, Les Ulis, EDP Sciences, 2017.10.1051/epjconf/201715401006Search in Google Scholar

[11] EXFOR/CSISRS, “EXFOR – experimental nuclear reaction data,” [Online]. Available: https://www-nds.iaea.org/exfor/.Search in Google Scholar

[12] F. Schümann, et al.., “Low-energy cross section of the 7Be(p,γ)8B solar fusion reaction from the Coulomb dissociation of B8,” Phys. Rev. C Nucl. Phys., vol. 73, no. 1, 2006. https://doi.org/10.1103/PhysRevC.73.015806.Search in Google Scholar

[13] X. C. Du, B. Guo, Z. Li, D. Pang, E. Li, and W. Liu, “Determination of astrophysical 7Be(p, γ)8B reaction rates from the 7Li(d,p)8Li reaction,” Sci. China Phys. Mech. Astron., vol. 58, no. 6, pp. 1–7, 2015. https://doi.org/10.1007/s11433-015-5653-z.Search in Google Scholar

[14] R. Buompane, et al.., “Measurement of the 7Be(p, γ)8B reaction cross section with the recoil mass separator ERNA,” in 16th Symposium on Nuclei in the Cosmos, NIC-XVI 2021, Les Ulis, EDP Sciences, 2022.Search in Google Scholar

[15] E. G. Adelberger, et al.., “Solar fusion cross sections II: the pp chain and CNO cycles,” Rev. Mod. Phys., vol. 83, no. 1, pp. 195–246, 2011. https://doi.org/10.1103/RevModPhys.83.195.Search in Google Scholar

[16] E. G. Adelberger, et al.., “Solar fusion cross sections,” Rev. Mod. Phys., vol. 70, no. 4, pp. 1265–1291, 1998. https://doi.org/10.1103/RevModPhys.70.1265.Search in Google Scholar

[17] T. S. Reshid, “Calculation of excitation function of some structural fusion material for (n, p) reactions up to 25 MeV,” J. Fusion Energy, vol. 32, no. 2, pp. 164–170, 2013. https://doi.org/10.1007/s10894-012-9541-5.Search in Google Scholar

[18] L. T. Baby, et al.., “Precision measurement of the 7Be(p,γ)8B cross section with an implanted 7Be target,” Phys. Rev. Lett., vol. 90, no. 2, p. 022501, 2003. https://doi.org/10.1103/PhysRevLett.90.022501.Search in Google Scholar PubMed

[19] F. J. Vaughn, R. A. Chalmers, D. Kohler, and L. F. Chase, “Cross sections for the 7Be(p,γ)8B reaction,” Phys. Rev. C, vol. 2, no. 5, pp. 1657–1665, 1970. https://doi.org/10.1103/PhysRevC.2.1657.Search in Google Scholar

[20] R. W. Kavanagh, T. A. Tombrello, and J. M. Mosher, “Cross section measurements for the 7Be(p,γ)8B reaction,” Bull. Am. Phys. Soc., vol. 14, no. 4, p. 1209, 1969.Search in Google Scholar

[21] P. D. Parker, “7Be(p,γ)8B Reaction,” Phy. Rev., vol. 150, no. 3, pp. 851–856, 1966. https://doi.org/10.1103/PhysRev.150.851.Search in Google Scholar

[22] P. Descouvemont, “Reanalysis of the 7Be(p,γ)8B S factor in a microscopic model,” Phys. Rev. C, vol. 70, no. 6, p. 065802, 2004. https://doi.org/10.1103/PhysRevC.70.065802.Search in Google Scholar

Received: 2025-03-29
Accepted: 2025-05-30
Published Online: 2025-06-16

© 2025 Walter de Gruyter GmbH, Berlin/Boston

Downloaded on 9.9.2025 from https://www.degruyterbrill.com/document/doi/10.1515/zna-2025-0123/html
Scroll to top button