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arXiv · 1507.05022

Tetraquarks from the Bethe-Salpeter equation

Gernot Eichmann·Christian S. Fischer·Walter Heupel
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Abstract

We present a numerical solution of the four-quark Bethe-Salpeter equation for a scalar tetraquark. We find that the four-body equation dynamically generates pseudoscalar poles in the Bethe-Salpeter amplitude. The sensitivity to the pion poles leads to a light isoscalar tetraquark mass M ~ 400 MeV, which is comparable to that of the sigma/f0(500). The masses of its multiplet partners kappa and a0/f0 follow a similar pattern, thereby providing support for the tetraquark interpretation of the light scalar nonet.

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Gernot Eichmann, Christian S. Fischer, Walter Heupel. 2015-07-17. Tetraquarks from the Bethe-Salpeter equation. https://arxiv.org/abs/1507.05022

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