Exact Unified Tetraquark Equations

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

Few-Body Systems Pub Date : 2024-05-21 DOI:10.1007/s00601-024-01927-z

B. Blankleider, A. N. Kvinikhidze

引用次数: 0

Abstract

Recently we formulated covariant equations describing the tetraquark in terms of an admixture of two-body states \(D{\bar{D}}\) (diquark-antidiquark), MM (meson-meson), and three-body-like states where two of the quarks are spectators while the other two are interacting (Phys Rev D 107:094014, 2023). A feature of these equations is that they unify descriptions of seemingly unrelated models of the tetraquark, like, for example, the \(D{\bar{D}}\) model of the Moscow group (Faustov et al. in Universe 7:94, 2021) and the coupled channel \(D {\bar{D}}-MM\) model of the Giessen group (Heupel et al. in Phys Lett B718:545, 2012). Here we extend these equations to the exact case where \(q\bar{q}\) annihilation is incorporated explicitly, and all previously neglected terms (three-body forces, non-pole contributions to two-quark t matrices, etc.) are taken into account through the inclusion of a single \(q\bar{q}\) potential \(\Delta \).

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精确统一四夸克方程

最近，我们用二体态（diquark-antidiquark）、介子介子态（MM）和三体态（其中两个夸克是旁观者，而另外两个夸克在相互作用）的混合来描述四夸克的协变方程（Phys Rev D 107:094014, 2023）。这些方程的一个特点是，它们统一了看似互不相关的四夸克模型的描述，例如莫斯科组的\(D{\bar{D}}\)模型（福斯托夫等人在《宇宙》7:94, 2021年）和吉森组的耦合通道\(D{\bar{D}}-MM\)模型（豪佩尔等人在《物理通报》B718:545, 2012年）。在这里，我们将这些方程扩展到明确纳入\(q\bar{q}\)湮灭的精确情况，并通过纳入单一的\(q\bar{q}\)势\(\Delta \)来考虑所有之前被忽视的项（三体力、双夸克t矩阵的非极点贡献等）。

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).