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Nonrelativistic effective field theory for heavy exotic hadrons
Physical Review D ( IF 5 ) Pub Date : 2020-07-09 , DOI: 10.1103/physrevd.102.014012
Joan Soto , Jaume Tarrús Castellà

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.

中文翻译:

重奇异强子的非相对论有效场论

我们提出了一种有效的场论来描述具有两个重夸克的强子,而无需对典型强子尺度上重夸克之间的典型距离进行任何假设。该构造基于非相对论 QCD,并受到 Potential Non-Relativistic QCD 强耦合机制的启发。对于轻自由度的任意量子数,我们构建了逆重夸克质量展开中的前导和次前导序的有效理论。因此,我们的结果适用于杂合体、四夸克、双重重子和五夸克,我们还在非相对论水平上给出了相应的算子。在领先阶,有效理论具有重夸克自旋对称性,对应于 Born-Oppenheimer 近似。在次先导顺序中,出现了与自旋和速度相关的项,在重夸克自旋对称多重态中产生分裂。在随附的论文中介绍了双重重子的具体应用。
更新日期:2020-07-09
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