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arxiv: 1507.05022 · v1 · submitted 2015-07-17 · ✦ hep-ph · nucl-th

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Tetraquarks from the Bethe-Salpeter equation

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classification ✦ hep-ph nucl-th
keywords bethe-salpeterequationtetraquarklightpolesscalaramplitudecomparable
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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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