Journal of Research on Many-body Systems

Journal of Research on Many-body Systems

Calculation of the factor S_E1 of d(\alpha,,\gamma)6Li reaction in the Cluster Effective Field Theory at Low Energies

Document Type : Full length research Paper

Authors
1 Department of Physics, K. N. Toosi University of Technology, Tehran, Iran
2 Malek Ashtar University of Technology, Tehran, Iran
Abstract
In this paper we study the radiative capture process d(alpha, gamma)6Li in the cluster effective field theory at low energies up to next-to-leading order. This particular nuclear reaction played a crucial role in the early universe by rapidly producing 6Li shortly after the Big Bang. In the range of energy E_CM
Keywords
Subjects

[1] M.A.D. Trezzi, M. Aliotta, A. Bellini, D. Bemmerer, A. Boeltzig, C. Broggini, C.G. Bruno, A Caciolli, e.a. F Cavanna, Big Bang 6Li nucleosynthesis studied deep underground (LUNA collaboration), Astroparticle Physics, 89 (2017) 57-65. https://doi.org/10.1016/j.astropartphys.2017.01.007
[2] P.D. Serpico, S. Esposito, F. Iocco, G. Mangano, G. Miele, O. Pisanti, Nuclear reaction network for primordial nucleosynthesis: a detailed analysis of rates, uncertainties and light nuclei yields, Journal of Cosmology and Astroparticle Physics, 2004 (2004) 010. https://doi.org/10.1088/1475-7516/2004/12/010
[3] P.D.R.GH. Robertson, R.A. Warner, R.C. Melin, T.J. Bowles, A.B. McDonald, G.C. Ball, W.G. Davies, E. Earle, Observation of the capture reaction/sup 2/H (cap alpha.,. gamma.)/sup 6/Li and its role in production of/sup 6/Li in the big bang, Physical. Review.Letter 47 (1981). https://doi.org/10.1103/PhysRevLett.47.1867
[4] P. Mohr, V. Kölle, S. Wilmes, U. Atzrott, G. Staudt, J. Hammer, H. Krauss, H. Oberhummer, Direct capture in the 3+ resonance of H 2 (α, γ) 6 Li, Physical Review C, 50 (1994) 1543. https://doi.org/10.1103/PhysRevC.50.1543
[5] F. Hammache, A. Walus, M. Caamano, M. Hellström, D. Cortina-Gil, A. Wagner, P. Mohr, V. Tatischeff, O. Sorlin, D. Galaviz, New measurement of the cross section of the big bang nucleosynthesis reaction D(α,γ)6Li and its astrophysical impact (2006) 013. https://doi.org/10.22323/1.028.0013
[6] K. Langanke, Microscopic potential model studies of light nuclear capture reactions, Nuclear Physics A, 457 (1986) 351-366. https://doi.org/310.1016/0375-9474(1086)90383-90380.
[7] S. Typel, G. Bläge, K. Langanke, The low-energy D (α,γ)6Li and 6 Li+ 208 Pb→ D+ α+ 208 Pb cross sections, Zeitschrift für Physik A Hadrons and Nuclei, 339 (1991) 335-339. https://link.springer.com/article/10.1007/BF01560634
[8] A. Kharbach, P. Descouvemont, Microscopic study of the 2H (α, γ) 6 Li reaction in a multicluster model, Physical Review C, 58 (1998) 1066. https://doi.org/1010.1103/PhysRevC.1058.1066.
[9] L.D.B. A. M. Mukhamedzhanov, and B. F. Irgaziev, Reexamination of the astrophysical S factor for the α+d →6Li+γ reaction, Physical Review C, 83 (2011). https://doi.org/10.1103/PhysRevC.1183.055805.
[10] Y. Kikuchi, N. Kurihara, A. Wano, K. Katō, T. Myo, M. Takashina, Three-body model analysis of α+ d elastic scattering and the 2 H (α, γ) 6 Li reaction in complex-scaled solutions of the Lippmann-Schwinger equation, Physical Review C, 84 (2011) 064610. https://doi.org/064610.061103/PhysRevC.064684.064610
[11] A.S.K. E. M. Tursunov, S. A. Turakulov, and I. Bray, Theoretical study of the α+d→^{6}Li+γ astrophysical capture process in a three-body model, Physical . Review C 94 (2016). https://doi.org/10.1103/PhysRevC.1194.015801
[12] S.A.T. E. M. Tursunov, A. S. Kadyrov, and I. Bray, Theoretical study of the α+d→^{6}Li+γ astrophysical capture process in a three-body model. II. Reaction rates and primordial abundance, Physical . Review C, 98 (2018) https://doi.org/10.1103/PhysRevC.1198.055803.
[13] F. Nazari, M. Radin, M.M. Arani, Low-energy deuteron–alpha elastic scattering in cluster effective field theory, The European Physical Journal A, 59 (2023) 20.. https://doi.org/10.1140/epja/s10050-023-00923-x
[14] R. Higa, G. Rupak, A. Vaghani, Radiative 3 He (α,γ α, γ) 7 Be reaction in halo effective field theory, The European Physical Journal A, 54 (2018) 1-12. https://doi.org/10.1140/epja/i2018-12486-5
[15] S.-i. Ando, J.W. Shin, C.H. Hyun, S.-W. Hong, Low energy proton-proton scattering in effective field theory, Physical Review C, 76 (2007). 064001. https://doi.org/064010.061103/PhysRevC.064076.064001.
[16] S.-I. Ando, Cluster effective field theory and nuclear reactions, The European Physical Journal A, 57 (2021) 17. https://doi.org/10.1140/epja/s10050-10020-00304-10058.
[17] S.-I. Ando, S E 1 factor of radiative α capture on C 12 in cluster effective field theory, Physical Review C, 100 (2019) 015807. https://doi.org/015810.011103/PhysRevC.015100.015807
[18] S.-I. Ando, Radiative decay of the subthreshold 1 1− and 2 1+ states of O 16 in cluster effective field theory, Physical Review C, 109 (2024) 015801. https://doi.org/015810.011103/PhysRevC.015109.015801
[19] M. Anders, D. Trezzi, R. Menegazzo, M. Aliotta, A. Bellini, D. Bemmerer, C. Broggini, A. Caciolli, P. Corvisiero, H. Costantini, First Direct Measurement of the H 2 (α, γ) Li 6 Cross Section at Big Bang Energies and the Primordial Lithium Problem, Physical Review Letters, 113 (2014) 042501. https://doi.org/042510.041103/PhysRevLett.042113.042501
[20] J. Kiener, H. Gils, H. Rebel, S. Zagromski, G. Gsottschneider, N. Heide, H. Jelitto, J. Wentz, G. Baur, Measurements of the Coulomb dissociation cross section of 156 MeV Li 6 projectiles at extremely low relative fragment energies of astrophysical interest, Physical Review C, 44 (1991) 2195. https://doi.org/2110.1103/PhysRevC.2144.2195.
[21] S. Igamov, R. Yarmukhamedov, Triple-differential cross section of the 208Pb (6Li, αd) 208Pb Coulomb breakup and astrophysical S-factor of the d (α, γ) 6Li reaction at extremely low energies, Nuclear Physics A, 673 (2000) 509-525. https://doi.org/10.1016/S0375-9474(00)00132-9
Volume 14, Issue 3 - Serial Number 42
autumn 2024
Autumn 2024
Pages 14-26

  • Receive Date 27 May 2024
  • Revise Date 06 July 2024
  • Accept Date 25 November 2024