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arXiv 2005.00552hep-phhep-exhep-lat
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重奇异强子的非相对论有效场论

Nonrelativistic effective field theory for heavy exotic hadrons

Joan Soto, Jaume Tarrús Castellà

AI总结:

提出一种基于NRQCD的非相对论有效场论,描述含两个重夸克的强子,无需假设重夸克间距,涵盖混合态、四夸克、双重重子和五夸克,前导阶具有重夸克自旋对称性,次前导阶产生自旋-速度依赖项导致多重态分裂。

摘要:

我们提出了一种有效场论来描述含有两个重夸克的强子,该理论不假设重夸克之间的典型距离相对于典型强子尺度的大小。该构造基于非相对论量子色动力学(NRQCD),并受到势非相对论量子色动力学(pNRQCD)强耦合机制的启发。我们在重夸克质量展开的逆幂次下,对任意轻自由度量子数构建了前导阶和次前导阶的有效理论。因此,我们的结果适用于混合态、四夸克态、双重重子态和五夸克态,并给出了它们在非相对论层面的相应算符。在前导阶,该有效理论具有重夸克自旋对称性,对应玻恩-奥本海默近似。在次前导阶,出现了自旋和速度依赖的项,这些项导致重夸克自旋对称性多重态的分裂。对双重重子态的具体应用见伴随论文。

英文摘要:

We propose an effective field theory to describe hadrons with two heavy quarks without any assumption on the typical distance between the heavy quarks with respect to the typical hadronic scale. The construction is based on Non-Relativistic QCD and inspired in the strong coupling regime of Potential Non-Relativistic QCD. We construct the effective theory at leading and next-to-leading order in the inverse heavy-quark mass expansion for arbitrary quantum numbers of the light degrees of freedom. Hence our results hold for hybrids, tetraquarks, double heavy baryons and pentaquarks, for which we also present the corresponding operators at Non-Relativistic level. At leading order, the effective theory enjoys heavy quark spin symmetry and corresponds to the Born-Oppenheimer approximation. At next-to-leading order, spin and velocity dependent terms arise, which produce splittings in the heavy-quark spin symmetry multiplets. A concrete application to double heavy baryons is presented in an accompanying paper.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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