The ${{\varvec{ppp}}}$ Correlation Function with a Screened Coulomb Potential

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

Few-Body Systems Pub Date : 2024-03-13 DOI:10.1007/s00601-024-01893-6

A. Kievsky, E. Garrido, M. Viviani, M. Gattobigio

引用次数: 0

Abstract

The correlation function is a useful tool to study the interaction between hadrons. The theoretical description of this observable requires the knowledge of the scattering wave function, whose asymptotic part is distorted when two or more particles are charged. For a system of three (or more) particles, with more than two particles asymptotically free and at least two of them charged, the asymptotic part of the wave function is not known in a closed form. In the present study we introduce a screened Coulomb potential and analyze the impact of the screening radius on the correlation function. As we will show, when a sufficiently large screening radius is used, the correlation function results almost unchanged if compared to the case in which the unscreened Coulomb potential is used. This fact allows the use of free asymptotic matching conditions in the solution of the scattering equation simplifying noticeably the calculation of the correlation function. As an illustration we discuss the pp and ppp correlation functions.

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具有屏蔽库仑势的 ${${\varvec{ppp}}$ 相关函数

相关函数是研究强子间相互作用的有用工具。对这一观测指标的理论描述需要了解散射波函数，当两个或更多粒子带电时，散射波函数的渐近部分会发生扭曲。对于由三个（或更多）粒子组成的系统，其中两个以上粒子渐近自由，至少有两个粒子带电，波函数的渐近部分并不是以封闭形式已知的。在本研究中，我们引入了屏蔽库仑势，并分析了屏蔽半径对相关函数的影响。我们将证明，当使用足够大的屏蔽半径时，相关函数的结果与使用未屏蔽库仑势的情况相比几乎没有变化。这一事实允许在求解散射方程时使用自由渐近匹配条件，明显简化了相关函数的计算。作为说明，我们将讨论 pp 和 ppp 相关函数。

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).

The \({{\varvec{ppp}}}\) Correlation Function with a Screened Coulomb Potential

Abstract