Influence of orthogonalization procedure on astrophysical S-factor for the direct $\alpha +d$ $\to$ ${}^6$Li + $\gamma$ capture process in a three-body model

Abstract

The astrophysical S-factor for the direct $\alpha (d,\gamma {)}^6\mathrm{Li}$ capture reaction is calculated in a three-body model based on the hyperspherical Lagrange-mesh method. A sensitivity of the E1 and E2 astrophysical S-factors to the orthogonalization method of Pauli forbidden states in the three-body system is studied. It is found that the method of orthogonalising pseudopotentials (OPP) yields larger isotriplet ($T=1$) components than the supersymmetric transformation (SUSY) procedure. The E1 astrophysical S-factor shows the same energy dependence in both cases, but strongly different absolute values. At the same time, the E2 S-factor does not depend on the orthogonalization procedure. As a result, the OPP method yields a very good description of the direct data of the LUNA collaboration at low energies, while the SUSY transformation strongly underestimates the LUNA data. \keywords{three-body model; orthogonalization method; astrophysical S factor.

arXiv comment8 pages, 3 figures. arXiv admin note: text overlap with arXiv:1808.04125

References in corpus (14)

• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Lithium isotopic abundances in metal-poor halo stars
• NACRE II: an update of the NACRE compilation of charged-particle-induced thermonuclear reaction rates for nuclei with mass number $A<16$
• Nuclear Reaction Network for Primordial Nucleosynthesis: a detailed analysis of rates, uncertainties and light nuclei yields
• Line shift, line asymmetry, and the 6Li/7Li isotopic ratio determination
• Six-body calculation of the alpha-deuteron radiative capture cross section
• {Once more about astrophysical $S$ factor for the $\alpha +d\to {}^6\mathrm{Li}+\gamma$ reaction
• Lithium abundance and 6Li/7Li ratio in the active giant HD123351 I. A comparative analysis of 3D and 1D NLTE line-profile fits
• Primordial $\alpha +d\to {}^6\mathrm{Li}+\gamma$ reaction and second Lithium puzzle
• Analysis of the ${}^6$He $\beta$ decay into the $\alpha +d$ continuum within a three-body model
• Isospin-forbidden electric-dipole capture and the $\alpha (d,\gamma {)}^6$Li reaction
• Theoretical study of the $\alpha +d$ $\to$ ${}^6$Li + $\gamma$ astrophysical capture process in a three-body model
• Theoretical study of the direct $\alpha +d$ $\to$ ${}^6$Li + $\gamma$ astrophysical capture process in a three-body model II. Reaction rates and primordial abundance
• Gamma-delayed deuteron emission of the 6Li (0+;T=1) halo state

Cited by in corpus (1)

• Comparative study of the direct $\alpha +d$ $\to$ ${}^6$Li + $\gamma$ astrophysical capture reaction in few-body models