标题： 一个诞生于$-$的奥本海默有效理论，统御一切：杂种、四夸克态、五夸克态、双重重子和胶子态 显示英文标题

标题： One Born$-$Oppenheimer Effective Theory to rule them all: hybrids, tetraquarks, pentaquarks, doubly heavy baryons and quarkonium

摘要： 在具有两个重夸克的强子领域中发现XYZ奇特态，是粒子理论中的一个重大挑战。 理解并预测它们的性质仍然是一个开放问题。 在本工作中，我们展示了如何从量子色动力学（QCD）出发，基于尺度分离和对称性推导出的Born$-$Oppenheimer（BO）有效场论（BOEFT），可以处理任何组成的XYZ奇特态。 我们推导了描述混合态、四夸克态、五夸克态、双重重子和胶子态的薛定谔耦合方程，在领先阶次中包含非绝热项，并给出了预测的多重态。 我们根据所有相关情况的QCD静态能量定义了静态势。 我们提供了用于BOEFT的非微扰低能规范不变关联函数的精确形式：静态能量、广义威尔逊环、胶球和伴随介子。 这些需要在格点上计算，我们在这里计算了它们的短距离行为。 此外，我们概述了如何使用匹配计算来包含自旋依赖修正和混合项。 最后，我们讨论了相同BO量子数的静态能量在大距离下混合，导致避免能级交叉现象。 这种效应对于理解具有分子特征的奇特态的出现至关重要，例如$\chi_{c1}(3872)$。 通过BOEFT，四夸克态和分子图像都作为同一描述的一部分出现。 显示英文摘要

摘要： The discovery of XYZ exotic states in the hadronic sector with two heavy quarks, represents a significant challenge in particle theory. Understanding and predicting their nature remains an open problem. In this work, we demonstrate how the Born$-$Oppenheimer (BO) effective field theory (BOEFT), derived from Quantum Chromodynamics (QCD) on the basis of scale separation and symmetries, can address XYZ exotics of any composition. We derive the Schr\"odinger coupled equations that describe hybrids, tetraquarks, pentaquarks, doubly heavy baryons, and quarkonia at leading order, incorporating nonadiabatic terms, and present the predicted multiples. We define the static potentials in terms of the QCD static energies for all relevant cases. We provide the precise form of the nonperturbative low-energy gauge-invariant correlators required for the BOEFT: static energies, generalized Wilson loops, gluelumps, and adjoint mesons. These are to be calculated on the lattice and we calculate here their short-distance behavior. Furthermore, we outline how spin-dependent corrections and mixing terms can be incorporated using matching computations. Lastly, we discuss how static energies with the same BO quantum numbers mix at large distances leading to the phenomenon of avoided level crossing. This effect is crucial to understand the emergence of exotics with molecular characteristics, such as the $\chi_{c1}(3872)$. With BOEFT both the tetraquark and the molecular picture appear as part of the same description.