Influence of Discretization Error on the HAL QCD Baryon Forces

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

Few-Body Systems Pub Date : 2024-04-03 DOI:10.1007/s00601-024-01908-2

Takashi Inoue, HAL QCD Collaboration

引用次数: 0

Abstract

We studied influence of lattice discretization on a HAL QCD two-baryon force. We have carried out 3-flavor lattice QCD numerical calculations at a same quark mass with three different values of lattice spacing. We extracted a potential of interaction in the flavor singlet S-wave two-baryon sector, and drew out binding energy of a bound state in the sector, the H-dibaryon. It turned out that the qualitative nature of the interaction does not change at all, while strength of the interaction change considerably with respect to change of lattice spacing a at a around 0.1 [fm]. Accordingly, binding energy of the H-dibaryon depends to the lattice spacing. This result is consistent to that reported by Mainz lattice QCD group. This issue may indicate a challenging point common to lattice QCD studies of multi-hadron systems.

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离散化误差对 HAL QCD 重子力的影响

摘要我们研究了晶格离散化对 HAL QCD 双重子力的影响。我们在同一夸克质量下用三种不同的晶格间距值进行了三味晶格 QCD 数值计算。我们提取了S波二重子扇形中的单味相互作用势，并得出了该扇形中的束缚态--H-二重子的束缚能。结果表明，相互作用的性质没有任何变化，而相互作用的强度在 0.1 [fm] 左右随晶格间距 a 的变化而发生很大变化。因此，H-二重子的结合能取决于晶格间距。这一结果与美因茨晶格 QCD 小组报告的结果一致。这个问题可能表明了多重子系统的晶格 QCD 研究中的一个共同挑战点。

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).