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arXiv 2103.02222hep-ph
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相对论运动学对多夸克稳定性的影响

Effect of relativistic kinematics on the stability of multiquarks

Jean-Marc Richard, Alfredo Valcarce, Javier Vijande

摘要:

我们讨论了夸克模型中多夸克态的束缚性质是否能从相对论效应对动能算符的影响中获益。对于介子和重子,相对论修正的动能导致较低的能量,因此需要重新调整模型的参数。对于多夸克态,以及它们各自的阈值,与非相对论和相对论动能得到的结果进行了比较。发现在相对论情况下,结合能较低。特别地,具有双重味的$QQ\bar q\bar q$四夸克在较大的重夸克与轻夸克质量比下变得稳定;而在标准非相对论夸克模型中不稳定的全重四夸克$QQ\bar Q\bar Q$在采用相对论形式的动能时保持不稳定

英文摘要:

We discuss whether the bound nature of multiquark states in quark models could benefit from relativistic effects on the kinetic energy operator. For mesons and baryons, relativistic corrections to the kinetic energy lead to lower energies, and thus call for a retuning of the parameters of the model. For multiquark states, as well as their respective thresholds, a comparison is made of the results obtained with non-relativistic and relativistic kinetic energy. It is found that the binding energy is lower in the relativistic case. In particular, $QQ\bar q\bar q$ tetraquarks with double heavy flavor become stable for a larger ratio of the heavy to light quark masses; and the all-heavy tetraquarks $QQ\bar Q\bar Q$ that are not stable in standard non-relativistic quark models remain unstable when a relativistic form of kinetic energy is adopted

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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