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arXiv · 1206.5129

Tetraquark bound states in a Bethe-Salpeter approach

Walter Heupel·Gernot Eichmann·Christian S. Fischer
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Abstract

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.

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Walter Heupel, Gernot Eichmann, Christian S. Fischer. 2012-11-08. Tetraquark bound states in a Bethe-Salpeter approach. https://doi.org/10.1016/j.physletb.2012.11.009

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