Darmstadt 2016 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 39: Hadron Structure and Spectroscopy VII

HK 39.3: Talk

Wednesday, March 16, 2016, 17:15–17:30, S1/01 A5

Tetraquarks in a Dyson-Schwinger Approach — •Paul Christian Wallbott, Gernot Eichmann, Christian S. Fischer, and Walter Heupel — Justus Liebig university, Giessen, Germany

We present numerical solutions of the four-quark Bethe-Salpeter equation for ground-state scalar tetraquarks with J^PC=0⁺⁺. In a recent work [1] it was shown, that the four-body equation dynamically generates pseudoscalar-meson poles in the Bethe-Salpeter amplitude. The resulting tetraquarks are genuine four-quark states, dominated by pseudoscalar meson-meson correlations. These lead to an isoscalar tetraquark mass M_σ∼ 350 MeV which is comparable to that of the σ/f₀(500). Based on these findings we present a second solution of the equation, with the pseudoscalar meson poles explicitly built in the Bethe-Salpeter amplitude.

[1] G. Eichmann, C. S. Fischer and W. Heupel, accepted by PLB, arXiv:1508.07178 [hep-ph]