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Lattice investigation of the tetraquark candidates a0(980) and kappa

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arxiv 1211.5002 v1 pith:6J5NZSQF submitted 2012-11-21 hep-lat

Lattice investigation of the tetraquark candidates a0(980) and kappa

Jan Oliver Daldrop , Constantia Alexandrou , Mattia Dalla Brida , Mario Gravina , Luigi Scorzato , Carsten Urbach , Marc Wagner This is my paper
classification hep-lat
keywords statesfour-quarkkappalatticematricesmesonsscalaraction
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It is a long discussed issue whether light scalar mesons have sizeable four-quark components. We present an exploratory study of this question using N_f=2+1+1 twisted mass lattice QCD. A mixed action approach ignoring disconnected contributions is used to calculate correlator matrices consisting of mesonic molecule, diquark-antidiquark and two-meson interpolating operators with quantum numbers of the scalar mesons a0(980) (1(0^++)) and kappa (1/2(0+)). The correlation matrices are analyzed by solving the generalized eigenvalue problem. The theoretically expected free two-particle scattering states are identified, while no additional low lying states are observed. We do not observe indications for bound four-quark states in the channels investigated.

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