Coulomb screening correction to the Q value of the triple-alpha process in thermal plasmas
Coulomb screening correction to the Q value of the triple-alpha process in thermal plasmas
复制标题
热等离子体三α过程Q值的库仑筛选校正
DOI：
10.1093/ptep/ptaa093
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发表时间：
2020
影响因子：
3.5
通讯作者：
Yamashita M T
中科院分区：
文献类型：
--
作者：
Phyu Lai Hnin;Moriya H;Horiuchi W;Iida K;Noda K;Yamashita M T
三α反应是碳生产的关键，预计会发生在弱耦合热等离子体中，就像在正常恒星中遇到的那样。我们研究库仑屏蔽如何影响在这样的等离子体环境中的三个α粒子的系统的结构，通过精确的三体计算内的德拜-休克尔近似。一个三α模型，库仑相互作用修改的汤川形式。借助于随机变分法，通过相关高斯基的叠加得到了精确的三体波函数。由于库仑屏蔽的霍伊尔态的能量位移作为德拜屏蔽长度的函数。结果，自动纳入有限尺寸效应的霍伊尔状态，是一致的，与传统的结果的基础上库仑修正的化学势的离子被视为点电荷在弱耦合热等离子体。通过对产生有限大小Hoyle态的三α过程的库仑修正值的首次评估，我们为常规点电荷方法解决与正常星核反应相关的库仑屏蔽问题提供了理论基础。
The triple-alpha reaction is key toC production and is expected to occur in weakly coupled thermal plasmas as encountered in normal stars. We investigate how Coulomb screening affects the structure of a system of three alpha particles in such a plasma environment by precise three-body calculations within the Debye–Hückel approximation. A three-alpha model that has the Coulomb interaction modified in the Yukawa form is employed. Precise three-body wave functions are obtained by a superposition of correlated Gaussian basis with the aid of the stochastic variational method. The energy shifts of the Hoyle state due to the Coulomb screening are obtained as a function of the Debye screening length. The results, which automatically incorporate the finite-size effect of the Hoyle state, are consistent with the conventional result based on the Coulomb correction to the chemical potentials of ions that are regarded as point charges in a weakly coupled thermal plasma. We have given a theoretical basis to the conventional point-charge approach to the Coulomb screening problem relevant for nuclear reactions in normal stars by providing the first evaluation of the Coulomb corrections to thevalue of the triple-alpha process that produces a finite-size Hoyle state.