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arXiv 1206.5129hep-phhep-exhep-lat
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四夸克态束缚态的Bethe-Salpeter方法

Tetraquark bound states in a Bethe-Salpeter approach

Walter Heupel, Gernot Eichmann, Christian S. Fischer

摘要:

本文从一个耦合的协变Bethe-Salpeter方程组出发,计算了四夸克态束缚态的质量。类似于核子的夸克-双夸克模型,我们用一组包含介子和双夸克成分的耦合二体方程近似四夸克的完整四体方程。这些都是计算从他们的夸克和胶子结构使用唯象良好建立的夸克-胶子相互作用。对于最轻的标量四夸克,我们发现一个400兆电子伏的数量级的质量和一个波函数占主导地位的π-π成分。这两个结果都与f_0(600)介子分子图象一致。我们的研究结果进一步表明,在5-6 GeV的质量区域存在一个潜在的窄的全粲四夸克。

英文摘要:

We determine the mass of tetraquark bound states from a coupled system of covariant Bethe-Salpeter equations. Similar in spirit to the quark-diquark model of the nucleon, we approximate the full four-body equation for the tetraquark by a coupled set of two-body equations with meson and diquark constituents. These are calculated from their quark and gluon substructure using a phenomenologically well-established quark-gluon interaction. For the lightest scalar tetraquark we find a mass of the order of 400 MeV and a wave function dominated by the pion-pion constituents. Both results are in agreement with a meson molecule picture for the f_0(600). Our results furthermore suggest the presence of a potentially narrow all-charm tetraquark in the mass region 5-6 GeV.

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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