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The role of inelastic couplings on the \(^{12}\)C+\(^{12}\)C fusion at sub-barrier energies

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Abstract

The effect of inelastic couplings on the modified astrophysical \(S^*\)-factor for \(^{12}\)C+\(^{12}\)C fusion reaction at sub-barrier energies is investigated using the Brazilian Nuclear Potential. The \(^{12}\)C excited states (2\(_1^+\), 4.44 MeV; 3\(_1^-\), 9.64 MeV; 2\(_2^+\), 9.84 MeV; 2\(_3^+\), 10.3 MeV; 2\(_4^+\), 16.1 MeV; 1\(_1^-\), 17.2 MeV and 2\(_5^+\), 18.8 MeV) are included in the coupling scheme. We have also coupled the 0\(_2^+\) Hoyle state (\(E^*\) = 7.65 MeV) to the 2\(_1^+\). In our model, the fusion cross section is associated to the absorption arising from the imaginary potential. Many resonances presented at the sub-barrier data are fairly reproduced by our approach.

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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical paper therefore the data presented a here have been published earlier by their corresponding authors.]

References

  1. C.A. Barnes, S. Trentalange, S.C. Wu, Treatise on Heavy-Ion Science, vol. 6 (Plenum, New York, 1985), p. 3, Nuclear Sstrophysics (edited by D. A. Bromley)

  2. M.E. Bennett et al., Mon. Not. R. Astron. Soc. 420, 3047 (2012)

    Article  ADS  Google Scholar 

  3. W. Hillebrandt, J.C. Niemeyer, Annu. Rev. Astron. Astrophys. 38, 191 (2000)

    Article  ADS  Google Scholar 

  4. L.R. Gasques, A.V. Afanasjev, E.F. Aguilera, M. Beard, L.C. Chamon, P. Ring, M. Wiescher, D.G. Yakovlev, Phys. Rev. C 72, 025806 (2005)

    Article  ADS  Google Scholar 

  5. A. Parikh, J. José, I.R. Seitenzahl, F.K. Röpke, Astron. Astrophys. 557, A3 (2013)

    Article  ADS  Google Scholar 

  6. J.R. Patterson, H. Winkler, C.S. Zaidins, Astrophys. J 157, 367 (1969)

    Article  ADS  Google Scholar 

  7. V.Y. Denisov, N.A. Pilipenko et al., Phys. Rev. C 81, 025805 (2010)

    Article  ADS  Google Scholar 

  8. E.F. Aguilera et al., Phys. Rev. C 73, 064601 (2006)

    Article  ADS  Google Scholar 

  9. P. Christensen, Z. Switkowski et al., Nucl. Phys. A 280, 205 (1977)

    Article  ADS  Google Scholar 

  10. H. Esbensen, X. Tang, C.L. Jiang et al., Phys. Rev. C 84, 064613 (2011)

    Article  ADS  Google Scholar 

  11. C.L. Jiang, B.B. Back, H. Esbensen, R.V.F. Janssens, K.E. Rehm, R.J. Charity et al., Phys. Rev. Lett. 110, 072701 (2013)

    Article  ADS  Google Scholar 

  12. M. Assunção, P. Descouvemount et al., Phys. Lett. B 723, 355 (2013)

    Article  ADS  Google Scholar 

  13. A.S. Umar, V.E. Oberacker, C.J. Horowitz et al., Phys. Rev. C 85, 055801 (2012)

    Article  ADS  Google Scholar 

  14. A. Diaz-Torres, M. Wiescher, Phys. Rev. C 97, 055802 (2018)

    Article  ADS  Google Scholar 

  15. Y. Taniguchi, M. Kimura, Phys. Lett. B 823, 136790 (2021)

    Article  Google Scholar 

  16. A. Tumino et al., Nature 557, 687 (2018)

    Article  ADS  Google Scholar 

  17. A.M. Mukhamedzhanov, D.Y. Pang, A.S. Kadyrov et al., Phys. Rev. C 99, 064618 (2019)

    Article  ADS  Google Scholar 

  18. C. Beck, A.M. Mukhamedzhanov, X. Tang, Eur. Phys. J. A 56, 87 (2020)

    Article  ADS  Google Scholar 

  19. A.M. Mukhamedzhanov et al., Eur. Phys. J. A 58, 71 (2022)

    Article  ADS  Google Scholar 

  20. L.C. Chamon, B.V. Carlson, L.R. Gasques, Comput. Phys. Commun. 267, 108061 (2021)

    Article  Google Scholar 

  21. G.R. Satchler, M.A. Nagarajan, J.S. Lilley, I.J. Thompson, Ann. Phys. 178, 110 (1987)

    Article  ADS  Google Scholar 

  22. L.C. Chamon, L.R. Gasques, L.F.M. Alves, V. Guimarães, P. Descouvemount, R.J. de Boer, M. Wiescher, J. Phys. G 41, 035101 (2014)

    Article  ADS  Google Scholar 

  23. I.J. Thompson, Comp. Phys. Rep. 7, 167 (1988)

    Article  Google Scholar 

  24. Evaluated Nuclear Structure Data File. https://www.nndc.bnl.gov/nudat2/

  25. L.C. Chamon, B.V. Carlson, Nucl. Phys. A 846, 1 (2010)

    Article  ADS  Google Scholar 

  26. A. Diaz-Torres, Phys. Rev. Lett. 101, 122501 (2008)

    Article  ADS  Google Scholar 

  27. G.R. Satchler, Direct Nuclear Reaction (Clarendon, Oxford University Press, 1983)

    Google Scholar 

  28. H.W. Becker et al., Z. Phys. A 303, 305 (1981)

    Article  ADS  Google Scholar 

  29. T. Spillane et al., Phys. Rev. Lett. 98, 122501 (2007)

    Article  ADS  Google Scholar 

  30. C.L. Jiang et al., Phys. Rev. C 97, 012801(R) (2018)

    Article  ADS  Google Scholar 

  31. W.P. Tan et al., Phys. Rev. Lett. 124, 192702 (2020)

    Article  ADS  Google Scholar 

  32. G. Fruet et al., Phys. Rev. Lett. 124, 192701 (2020)

    Article  ADS  Google Scholar 

  33. L.R. Gasques, E.F. Brown, A. Chieffi, C.L. Jiang, M. Limongi, C. Rolfs, M. Wiescher, D.G. Yakovlev, Phys. Rev. C 76, 035802 (2007)

    Article  ADS  Google Scholar 

  34. V.V. Sargsyan, G.G. Adamian, N.V. Antonenko, H. Lenske, Phys. Lett. B 824, 136792 (2022)

    Article  Google Scholar 

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Acknowledgements

L. R. Gasques is grateful to A. Diaz-Torres and J. Lubian for the valuable discussions. This work was partially supported by Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Proc. No 2019/07767-1 and 2021/04332-4, Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Proc. No 406332/2018-5, 302160/2018-3, 304056/2019-7, and project INCT-FNA Proc. No 464898/2014-5.

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Author notes

  1. L. C. Chamon, G. P. Cessel contributed equally to this work.

Authors and Affiliations

  1. Universidade de Sao Paulo, Instituto de Fisica, Rua do Matao, 1371, Sao Paulo, SP, 05508-090, Brazil

    L. R. Gasques & L. C. Chamon

  2. Universidade de Sao Paulo, Instituto de Fisica, Av. Trab. Sao Carlense, 400, Sao Carlos, SP, 13566-590, Brazil

    G. P. Cessel

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  1. L. R. Gasques
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  2. L. C. Chamon
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  3. G. P. Cessel
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Corresponding author

Correspondence to L. R. Gasques.

Additional information

Communicated by A. Diaz-Torres.

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Gasques, L.R., Chamon, L.C. & Cessel, G.P. The role of inelastic couplings on the \(^{12}\)C+\(^{12}\)C fusion at sub-barrier energies. Eur. Phys. J. A 58, 102 (2022). https://doi.org/10.1140/epja/s10050-022-00751-5

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