Theoretical study of the $\alpha +d$ $\to$ ${}^6$Li + $\gamma$ astrophysical capture process in a three-body model

Abstract

The astrophysical capture process $\alpha +d$ $\to$ ${}^6$Li + $\gamma$ is studied in a three-body model. The initial state is factorized into the deuteron bound state and the $\alpha +d$ scattering state. The final nucleus ${}^6$Li(1+) is described as a three-body bound state $\alpha +n+p$ in the hyperspherical Lagrange-mesh method. The contribution of the E1 transition operator from the initial isosinglet states to the isotriplet components of the final state is estimated to be negligible. An estimation of the forbidden E1 transition to the isosinglet components of the final state is comparable with the corresponding results of the two-body model. However, the contribution of the E2 transition operator is found to be much smaller than the corresponding estimations of the two-body model. The three-body model perfectly matches the new experimental data of the LUNA collaboration with the spectroscopic factor 2.586 estimated from the bound-state wave functions of ${}^6$Li and deuteron.

14 pages, 6 figures

References in corpus (5)

• The Primordial Lithium Problem
• High-energy break-up of 6Li as a tool to study the Big-Bang nucleosynthesis reaction 2H(alpha,gamma)6Li
• {Once more about astrophysical $S$ factor for the $\alpha +d\to {}^6\mathrm{Li}+\gamma$ reaction
• Primordial $\alpha +d\to {}^6\mathrm{Li}+\gamma$ reaction and second Lithium puzzle
• Gamma-delayed deuteron emission of the 6Li (0+;T=1) halo state

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• Extrapolation of scattering data to the negative-energy region
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• Theoretical calculation of nuclear reactions of interest for Big Bang Nucleosynthesis
• Spatial Structure of the ${}^{12}$C Nucleus in a 3$\alpha$ Model with Deep Potentials Containing Forbidden States
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