ANCs of the Bound States of $^{16}$O Deduced from Elastic $\alpha $-$^{12}$C Scattering Data

IF 1.7 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Few-Body Systems Pub Date : 2024-01-22 DOI:10.1007/s00601-023-01877-y

Shung-Ichi Ando

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引用次数: 0

Abstract

Asymptotic normalization coefficients (ANCs) of the $0_1^+$, $0_2^+$, $1_1^-$, $2_1^+$, $3_1^-$ ($l_{i th}^\pi $) bound states of $^{16}$O are deduced from the phase shift data of elastic $\alpha $-$^{12}$C scattering at low energies. S matrices of elastic $\alpha $-$^{12}$C scattering are constructed within cluster effective field theory (EFT), in which both bound and resonant states of $^{16}$O are considered. Parameters in the S matrices are fitted to the precise phase shift data below the p-$^{15}$N breakup energy for the partial waves of $l=0,1,2,3,4,5,6$, and the ANCs are calculated by using the wave function normalization factors of $^{16}$O propagators for $l=0,1,2,3$. We review the values of ANCs, which are compared with other results in the literature, and discuss uncertainties of the ANCs obtained from the elastic $\alpha $-$^{12}$C scattering data in cluster EFT.

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从弹性 $$\alpha $$ - $$^{12}$ C 散射数据推导出的 $$^{16}$ O 的边界态 ANCs

Abstract Asymptotic normalization coefficients (ANCs) of the $0_1^+$ , $0_2^+$ , $1_1^-$ , $2_1^+$ 、 $3_1^-$ ( （l_{i th}^\pi\) ) O的束缚态是根据低能下弹性 $α $ - $^{12}$ C 散射的相移数据推导出来的。在簇有效场理论（EFT）中构建了弹性（α）-（^{12}）C散射的S矩阵，其中考虑了（^{16}）O的束缚态和共振态。S 矩阵中的参数与 $l=0,1,2,3,4,5,6$ 部分波的 p- $^{15}$ N 分裂能以下的精确相移数据进行了拟合，并通过使用 $l=0,1,2,3,4,5,6$ 的 $^{16}$ O 传播者的波函数归一化因子计算了 ANCs。我们回顾了ANCs的值，并与文献中的其他结果进行了比较，同时讨论了在簇EFT中从$α$ -$^{12}$ C散射数据中得到的ANCs的不确定性。

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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).

ANCs of the Bound States of \(^{16}\)O Deduced from Elastic \(\alpha \)-\(^{12}\)C Scattering Data

Abstract