论文标题
$^{12} $ c（$α，γ$）$^{16} $ o的可计算微观理论
Calculable microscopic theory for $^{12}$C($α, γ$)$^{16}$O cross section near Gamow window
论文作者
论文摘要
$^{12} $ c $（α，γ）^{16} $ o辐射捕获过程是产生恒星中氧元素的关键反应。测量Gamow窗口附近的横截面非常困难，因为它太小了。为了为解决长期存在的问题做出理论上的贡献，我提出了一个微观公式，旨在提供计算横截面所需的所有材料。 $^{12} $ c和$^{16} $ o的状态分别用完全微观3 $α$ - 粒子和4 $α$ - 粒子配置描述，其中$α$颗粒之间的相对运动以相关的高斯基础功能扩展。配置空间的优点是能够很好地描述$^{16} $ O的状态的减少$α$ width幅度。电偶极子和电二极管转变均负责辐射捕获过程。 $α$粒子用$（0s）^4 $配置用少量的isospin $ t = 1 $杂质组件混合，这对于说明Isovector电动偶极转换至关重要。等偶极偶极子操作员也被考虑到长波长近似之外的一阶。提供了所有必要的成分，以使纸张具有独立且准备数值计算。
$^{12}$C$(α, γ)^{16}$O radiative-capture process is a key reaction to produce the element of oxygen in stars. Measuring the cross section near the Gamow window is extremely hard because it is too small. To make a theoretical contribution towards resolving the long-standing problem, I present a microscopic formulation that aims at providing all materials needed to calculate the cross section. The states of $^{12}$C and $^{16}$O relevant to the reaction are respectively described with fully microscopic 3 $α$-particle and 4 $α$-particle configurations, in which the relative motion among the $α$ particles is expanded in terms of correlated Gaussian basis functions. The configuration space has the advantage of being able to well describe the reduced $α$-width amplitudes of the states of $^{16}$O. Both electric dipole and electric quadrupole transitions are responsible for the radiative-capture process. The $α$ particle is described with a $(0s)^4$ configuration admixed with a small amount of an isospin $T=1$ impurity component, which is crucially important to account for the isovector electric dipole transition. The isoscalar electric dipole operators are also taken into account up to the first order beyond the long-wavelength approximation. All the necessary ingredients are provided to make the paper self-contained and ready for numerical computations.
