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The Thermonuclear Rate of \({}^{\mathbf{9}}\mathbf{Be}\)(\(\mathbf{p}\), \(\boldsymbol{\gamma}\))\({}^{\mathbf{10}}\)B Reaction by Using the Modified Potential Model*

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Abstract

The proton capture reaction serves as a valuable tool for exploring the nuclear structure. Specifically, in the p-shell, the radiative proton capture on \({}^{9}\)Be plays a significant role in the nucleosynthesis of light elements. We have investigated the reaction \({}^{9}\textrm{Be}(\textrm{p},\gamma)^{10}\)B using the modified potential model. Within this framework, we have examined various electric and magnetic transitions associated with this reaction and have computed the rates for both direct capture and resonance capture. The reaction rate of \({}^{9}\textrm{Be}(\textrm{p},\gamma)^{10}\)B is evaluated by employing the computed total cross-sections across a temperature range of 0.006 to 1 T9. A comparative analysis is conducted between the calculated rate and the data obtained from NACRE II. The astrophysical S factor and reaction rate are expressed analytically, accompanied by an estimation of the influence of low-lying resonances on the reaction rate.

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REFERENCES

  1. M. Abramowitz, I. A. Stegun, et al., Handbook of Mathematical Functions (Dover, New York, 1968), Vol. 10.

    Google Scholar 

  2. E. G. Adelberger, A. García, R. H. Robertson, K. Snover, A. Balantekin, K. Heeger, M. Ramsey-Musolf, D. Bemmerer, A. Junghans, C. Bertulani, et al., Rev. Mod. Phys. 83, 195 (2011).

    Article  ADS  Google Scholar 

  3. C. Angulo, M. Arnould, M. Rayet, P. Descouvemont, D. Baye, C. Leclercq-Willain, A. Coc, S. Barhoumi, P. Aguer, C. Rolfs, et al., Nucl. Phys. A 656, 3 (1999).

    Article  ADS  Google Scholar 

  4. J. N. Bahcall, M. Pinsonneault, S. Basu, and J. Christensen-Dalsgaard, Phys. Rev. Lett. 78, 171 (1997).

    Article  ADS  Google Scholar 

  5. J. N. Bahcall, A. M. Serenelli, and S. Basu, Astrophys. J. 621, 85 (2005).

    Article  ADS  Google Scholar 

  6. C. Bertulani, Comput. Phys. Commun. 156, 123 (2003).

    Article  ADS  Google Scholar 

  7. C. R. Brune and B. Davids, Ann. Rev. Nucl. Part. Sci. 65, 87 (2015).

    Article  ADS  Google Scholar 

  8. G. R. Caughlan, W. A. Fowler, M. Harris, and B. Zimmerman, At. Data Nucl. Data Tables 40, 283 (1988).

    Article  ADS  Google Scholar 

  9. S. Dubovichenko and A. Dzhazairov-Kakhramanov, Int. J. Mod. Phys. E 26, 1630009 (2017).

  10. S. Dubovichenko, N. Burkova, A. Dzhazairov-Kakhramanov, and A. Tkachenko, Nucl. Phys. A 983, 175 (2019).

    Article  ADS  Google Scholar 

  11. W. A. Fowler, Rev. Mod. Phys. 56, 149 (1984).

    Article  ADS  Google Scholar 

  12. W. A. Fowler, G. R. Caughlan, and B. A. Zimmerman, Ann. Rev. Astron. Astrophys. 5, 525 (1967).

    Article  ADS  Google Scholar 

  13. W. A. Fowler, G. R. Caughlan, and B. A. Zimmerman, Ann. Rev. Astron. Astrophys. 13, 69 (1975).

    Article  ADS  Google Scholar 

  14. A. Kabir and J.-U. Nabi, Nucl. Phys. A 1007, 122118 (2021).

  15. B. Pritychenko et al., At. Data Nucl. Data Tables 96, 645 (2010).

    Article  ADS  Google Scholar 

  16. C. E. Rolfs and W. S. Rodney, Cauldrons in the Cosmos: Nuclear Astrophysics (Univ. Chicago Press, Chicago, 1988).

  17. A. Sattarov, A. Mukhamedzhanov, A. Azhari, C. A. Gagliardi, L. Trache, and R. E. Tribble, Phys. Rev. C 60, 035801 (1999).

  18. E. Tursunov, S. Turakulov, A. Kadyrov, and L. Blokhintsev, Phys. Rev. C 104, 045806 (2021).

  19. M. Wiescher, F. Káppeler, and K. Langanke, Ann. Rev. Astron. Astrophys. 50, 165 (2012).

    Article  ADS  Google Scholar 

  20. Y. a. Xu, K. Takahashi, S. Goriely, M. Arnould, M. Ohta, and H. Utsunomiya, Nucl. Phys. A 918, 61 (2013).

    Article  ADS  Google Scholar 

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ACKNOWLEDGMENTS

We would like to express our sincere gratitude to all the individuals and organizations who have contributed to the publication of this research paper. The first author of the manuscript Leila Asgari unfortunately died of cardiac arrest. She was a Ph.D. student in theoretical nuclear physics at Arak University. May her soul rest in peace. We will never forget her discipline, passion, and dedication to duty.

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This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

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Authors and Affiliations

  1. Department of Physics,Faculty of Sciences, Arak University, 38156-8-8349, Arak, Iran

    Leila Asgari, Hossein Sadeghi & Hassan Khalili

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  1. Leila Asgari
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  2. Hossein Sadeghi
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  3. Hassan Khalili
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Correspondence to Hossein Sadeghi.

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Asgari, L., Sadeghi, H. & Khalili, H. The Thermonuclear Rate of \({}^{\mathbf{9}}\mathbf{Be}\)(\(\mathbf{p}\), \(\boldsymbol{\gamma}\))\({}^{\mathbf{10}}\)B Reaction by Using the Modified Potential Model*. Astron. Lett. 49, 767–776 (2023). https://doi.org/10.1134/S1063773723110117

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