发表机构
University of Science and Technology of China; Kent State University; Brookhaven National Laboratory; Shandong University（中国科学技术大学; 肯特州立大学; 布鲁克海文国家实验室; 山东大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出有效接触理论，将松散束缚态产生与连续谱关联统一，并通过库仑束缚原子及STAR数据检验，为强相互作用膨胀物质提供普适框架。
AI 中文摘要
短程关联产生可能独立于微观细节的普适关系。Tan 接触是一个突出的例子，它连接了原子、凝聚态和核系统中的近距离配对、高动量组分和束缚态形成。是否存在类似的普适性支配相对论性 QCD 物质的非平衡冻结，是一个开放问题。我们发展了一种有效接触理论，将重离子碰撞中松散束缚态的产生与连续谱两粒子关联联系起来。该构造用有调节的 Bethe-Peierls 核取代了传统聚变的硬相对动量截断：冻结局域化固定其动量尺度，而复合产额固定其接触残差。束缚态和连续谱可观测量随后成为共同两粒子密度矩阵的投影，而非独立现象。库仑束缚的 $K\mu$ 原子提供了理想实现，因为其原子尺度、产生尺度和源尺度广泛分离。对 STAR $d\Lambda$ 关联的接触理论分析提供了首次束缚-连续谱一致性检验，并展示了推断的近阈值参数如何依赖于有限膨胀源。该框架建立了将强相互作用膨胀物质中聚变、关联和奇异束缚态联系起来的一般策略。
英文摘要
Short-distance correlations generate universal relations that can be independent of microscopic details. Tan's contact is a prominent example, connecting close pairs, high-momentum constituents, and bound-state formation across atomic, condensed-matter, and nuclear systems. Whether an analogous universality governs the nonequilibrium freeze-out of relativistic QCD matter is an open question. We develop an effective contact theory that relates the production of loosely bound states to continuum two-particle correlations in heavy-ion collisions. The construction replaces the hard relative-momentum cutoff of conventional coalescence by a regulated Bethe--Peierls kernel: freeze-out localization fixes its momentum scale, while the composite yield fixes its contact residue. Bound and continuum observables then become projections of a common two-particle density matrix rather than independent phenomena. Coulomb-bound $Kμ$ atoms provide an ideal realization because their atomic, production, and source scales are widely separated. A contact-theory analysis of STAR $dΛ$ correlations supplies a first bound--continuum consistency test and demonstrates how inferred near-threshold parameters can depend on the finite expanding source. The framework establishes a general strategy for relating coalescence, correlations, and exotic bound states in strongly interacting expanding matter.
Comments13 pages, 1 figure
