Reexamination of the astrophysical S factor for the α+d6Li+γ reaction

A. M. Mukhamedzhanov, L. D. Blokhintsev, and B.  F. Irgaziev
Phys. Rev. C 83, 055805 – Published 31 May 2011

Abstract

Recently, a new measurement of the Li6 (150 A MeV)dissociation in the field of Pb208 has been reported [Hammache et al., Phys. Rev. C 82, 065803 (2010)] to study the radiative capture α+d6Li+γ process. However, the dominance of the nuclear breakup over the Coulomb one prevented the information about the α+d6Li+γ process from being obtained from the breakup data. The astrophysical S24(E) factor has been calculated within the αd two-body potential model with potentials determined from the fits to the αd elastic scattering phase shifts. However, the scattering phase shift, according to the theorem of the inverse scattering problem, does not provide a unique αd bound-state potential, which is the most crucial input when calculating the S24(E) astrophysical factor at astrophysical energies. In this work, we emphasize the important role of the asymptotic normalization coefficient (ANC) for 6Liα+d, which controls the overall normalization of the peripheral α+d6Li+γ process and is determined by the adopted αd bound-state potential. Since the potential determined from the elastic scattering data fit is not unique, the same is true for the ANC generated by the adopted potential. However, a unique ANC can be found directly from the elastic scattering phase shift, without invoking intermediate potential, by extrapolation the scattering phase shift to the bound-state pole [Blokhintsev et al., Phys. Rev. C 48, 2390 (1993)]. We demonstrate that the ANC previously determined from the αd elastic scattering s-wave phase shift [Blokhintsev et al., Phys. Rev. C 48, 2390 (1993)], confirmed by ab initio calculations, gives S24(E), which at low energies is about 38% less than the other one reported [Hammache et al., Phys. Rev. C 82, 065803 (2010)]. We recalculate also the reaction rates, which are lower than those obtained in that same study [Hammache et al., Phys. Rev. C 82, 065803 (2010)].

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  • Received 25 February 2011

DOI:https://doi.org/10.1103/PhysRevC.83.055805

©2011 American Physical Society

Authors & Affiliations

A. M. Mukhamedzhanov1, L. D. Blokhintsev2, and B.  F. Irgaziev3

  • 1Cyclotron Institute, Texas A&M University, College Station, Texas 77843,USA
  • 2D. V. Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, Russia
  • 3GIK Institute of Engineering Sciences and Technology, Topi, Pakistan

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Issue

Vol. 83, Iss. 5 — May 2011

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