Tests of the Envelope Theory for Three-Body Forces

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

Few-Body Systems Pub Date : 2024-03-10 DOI:10.1007/s00601-024-01887-4

Lorenzo Cimino, Clara Tourbez, Cyrille Chevalier, Gwendolyn Lacroix, Claude Semay

引用次数: 0

Abstract

Many-body forces, and specially three-body forces, are sometimes a relevant ingredient in various fields, such as atomic, nuclear or hadronic physics. As their precise structure is generally difficult to uncover or to implement, phenomenological effective forces are often used in practice. A form commonly used for a many-body variable is the square-root of the sum of two-body variables. Even in this case, the problem can be very difficult to treat numerically. But this kind of many-body forces can be handled at the same level of difficulty than two-body forces by the envelope theory. The envelope theory is a very efficient technique to compute approximate, but reliable, solutions of many-body systems, specially for identical particles. The quality of this technique is tested here for various three-body forces with non-relativistic systems composed of three identical particles. The energies, the eigenfunctions, and some observables are compared with the corresponding accurate results computed with a numerical variational method.

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三体力包络理论测试

多体力，特别是三体力，有时是原子物理、核物理或强子物理等各个领域的相关要素。由于它们的精确结构通常难以揭示或实现，因此在实践中经常使用现象学有效力。多体变量常用的一种形式是双体变量之和的平方根。即使在这种情况下，也很难对问题进行数值处理。但这种多体力可以通过包络理论以与两体力相同的难度处理。包络理论是计算多体系统近似但可靠解的一种非常有效的技术，特别是对于相同粒子。本文针对由三个相同粒子组成的非相对论系统的各种三体力，测试了这一技术的质量。能量、特征函数和一些观测值与数值变分法计算出的相应精确结果进行了比较。

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).