Computation of correlation matrices for tetraquark candidates with Jp = 0+ and flavor structure q1q2q3q3

Abstract

The conjecture that several recently observed mesons have a structure, which is not dominated by an ordinary quark-Antiquark pair, but by a four-quark structure, is being actively investigated both theoretical and experimentally. Such a state may be characterized as a mesonic molecule or as a diquark-Antidiquark pair. Lattice QCD provides a theoretically sound framework to study such states. To quantitatively investigate the internal structure of such mesons, one needs to precisely compute correlation matrices containing several interpolating operators including two and four quarks. Here we discuss certain technical aspects of such correlation matrices suited to study tetraquark candidates with Jp = 0+ and flavor structure q1q2q3q3, e.g. the a0(980) meson, the D∗S0 meson and some of the charged cc X states. Some numerical results for the a0(980) meson are presented.