Investigation of the tetraquark candidate $a_0(980)$: technical aspects and preliminary results

Understand

We discuss technical aspects and first results of a lattice QCD study of the $a_0(980)$ state.

• We employ various interpolating operators of quark-antiquark, mesonic molecule, diquark-antidiquark and two-meson type.
• Both connected and disconnected contributions including diagrams with closed fermion loops are computed.
• To keep statistical errors small, it is essential to optimize the computation of these diagrams by choosing that combination of techniques most appropriate for each type of diagram from the correlation matrix of interpolating operators.