三体模型中正交化过程对$α+d$ $\rightarrow$ $^6$ Li + $γ$直接俘获过程的天体物理S因子的影响
Influence of orthogonalization procedure on astrophysical S-factor for the direct $α+d$ $\rightarrow$ $^6$Li + $γ$ capture process in a three-body model
摘要:
在基于超球拉格朗日网格方法的三体模型中计算了直接$ α(d,γ)^{6}{\rm Li}$俘获反应的天体物理S因子。研究了三体系统中E1和E2天体物理S因子对Pauli禁戒态正交化方法的敏感性。结果表明,赝势正交化方法比超对称变换方法产生更大的等三重态($T=1$)分量. E1天体物理S因子在两种情况下显示出相同的能量依赖性,但绝对值截然不同。同时,E2 S因子不依赖于正交化过程。因此,在低能量的LUNA合作的直接数据,而超对称变换大大低估了LUNA数据的直接数据,得到了很好的描述。\keywords {三体模型;正交化方法;天体物理S因子。
英文摘要:
The astrophysical S-factor for the direct $ α(d,γ)^{6}{\rm 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.
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