Calculable Microscopic Theory for \(^\textbf{12}\)C(\(\alpha \), \(\gamma \))\(^\textbf{16}\)O Cross Section near Gamow Window II

IF 1.7 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Few-Body Systems Pub Date : 2024-10-28 DOI:10.1007/s00601-024-01964-8

Y. Suzuki

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Abstract

A microscopic approach to the \(^{12}\)C\((\alpha , \gamma )^{16}\)O radiative-capture reaction near the Gamow window has been proposed by Y. Suzuki, Few-Body Syst. 62, 2 (2021). The important ingredients of the approach include the following: (1) The states of \(^{12}\)C and \(^{16}\)O relevant to the reaction are described by fully microscopic 3 \(\alpha \)-particle and 4 \(\alpha \)-particle configurations. (2) The isovector electric dipole transition is accounted for through the isospin impurity of the constituent \(\alpha \)-particles. (3) The relative motion among the \(\alpha \)-particles is expanded in terms of correlated-Gaussian basis functions. A calculation of the radiative-capture cross section demands double angular-momentum projections, that is, the angular momentum of \(^{12}\)C consisting of 3 \(\alpha \)-particles and the orbital angular momentum for \(^{12}\)C\(-\alpha \) relative motion. Advancing the previous formulation based on the single angular-momentum projection, I carry out the double projection and present all the formulas needed for the cross section calculation.

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伽莫窗 II 附近的 \(^\textbf{12}\)C(\(α \), \(γ \))\(^\textbf{16}\)O 截面的可计算微观理论

铃木（Y. Suzuki）在《少体系统》（Few-Body Syst.62, 2 (2021).该方法的重要内容包括以下几点：(1) 与反应相关的 \(^{12}\)C 和 \(^{16}\)O 的状态由完全微观的 3 \(\α \)-粒子和 4 \(\α \)-粒子构型来描述。(2) 等矢量电偶极子转变是通过组成粒子的等空杂质来解释的。(3) \(\α \)-粒子之间的相对运动用相关-高斯基函数展开。辐射捕获截面的计算需要双重角动量投影，即由3个（\α \）粒子组成的（^{12}\）C的角动量和（^{12}\）C（-\α \）相对运动的轨道角动量。在之前基于单角动量投影的公式基础上，我进行了双投影，并给出了截面计算所需的所有公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Few-Body Systems 物理-物理：综合

CiteScore

2.90

自引率

18.80%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures. Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal. The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).