{Once more about astrophysical $S$ factor for the $\alpha +d\to {}^6\mathrm{Li}+\gamma$ reaction

Abstract

Recently to study the radiative capture $\alpha +d\to {}^6\mathrm{Li}+\gamma$ process a new measurement of the ${}^6\mathrm{Li}(\mathrm{A}150\mathrm{MeV})$ dissociation in the field of ${}^{208}\mathrm{Pb}$ has been reported in [F. Hammache {\it et al.} Phys. Rev $C82$, 065803 (2010)]. However, the dominance of the nuclear breakup over the Coulomb one prevented from obtaining the information about the $\alpha +d\to {}^6\mathrm{Li}+\gamma$ process from the breakup data. The astrophysical $S_{24}(E)$ factor has been calculated within the $\alpha -d$ two-body potential model with potentials determined from the fits to the $\alpha -d$ elastic scattering phase shifts. However, the scattering phase shift itself doesn't provide a unique $\alpha -d$ bound state potential, which is the most crucial input when calculating the $S_{24}(E)$ astrophysical factor at astrophysical energies. In this work we emphasize an important role of the asymptotic normalization coefficient (ANC) for ${}^6\mathrm{Li}\to \alpha +d$, which controls the overall normalization of the peripheral $\alpha +d\to {}^6\mathrm{Li}+\gamma$ process and is determined by the adopted $\alpha -d$ bound state potential. We demonstrate that the ANC previously determined from the $\alpha -d$ elastic scattering $s$-wave phase shift in [Blokhintsev {\it et. al} Phys. Rev. {\bf C 48}, 2390 (1993)] gives $S_{24}(E)$, which is at low energies about 38% lower than the one reported in [F. Hammache {\it et al.} Phys. Rev $C82$, 065803 (2010)]. We recalculate also the reaction rates, which are also lower than those obtained in [F. Hammache {\it et al.} Phys. Rev $C82$, 065803 (2010)].

6 pages and 2 figures

References in corpus (3)

• Microscopic calculation of the 3He(alpha,gamma)7Be and 3H(alpha,gamma)7Li capture cross sections using realistic interactions
• High-energy break-up of 6Li as a tool to study the Big-Bang nucleosynthesis reaction 2H(alpha,gamma)6Li
• Effect of Coulomb Forces on the Position of the Pole in the Scattering Amplitude and on Its Residue

Cited by in corpus (7)

• Unified description of ${}^6$Li structure and deuterium-${}^4$He dynamics with chiral two- and three-nucleon forces
• Ab initio prediction of the ${}^4\mathrm{He}(d,\gamma ){}^6\mathrm{Li}$ big bang radiative capture
• Neutron-induced background by an alpha-beam incident on a deuterium gas target and its implications for the study of the 2H(alpha,gamma)6Li reaction at LUNA
• The $\alpha +d\to {}^6\mathrm{Li}+\gamma$ astrophysical $S$-factor and its implications for Big Bang Nucleosynthesis
• Radiative Capture of proton 14N(p,γ) 15O at Low Energy
• Nuclear fusion catalyzed by doubly charged scalars: Implications for energy production
• Theoretical calculation of nuclear reactions of interest for Big Bang Nucleosynthesis