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

Abstract

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. We illustrate, how this can be done, by discussing certain diagrams in detail. We also present preliminary results corresponding to a $4\times 4$ submatrix computed with 2+1 flavors of clover fermions.

arXiv comment13 pages, 9 figures, talks given at the 32nd International Symposium on Lattice Field Theory (Lattice 2014), 23-28 June 2014, Columbia University, New York, NY, USA

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• 2+1 Flavor Lattice QCD toward the Physical Point
• Scalar Meson Spectroscopy with Lattice Staggered Fermions
• Lattice investigation of the scalar mesons a_0(980) and κ using four-quark operators
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• Investigation of light and heavy tetraquark candidates using lattice QCD
• Recent progress on light scalars: from confusion to precision using dispersion theory
• Lattice investigation of the tetraquark candidates a0(980) and kappa
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• Study of the a_0(980) on the lattice
• Analysis of the scalar mesons on the Lattice

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• Investigating efficient methods for computing four-quark correlation functions
• Study of the isospin breaking decay $\mathbf{Y}(2175)\to \mathbf{\varphi }{\mathbf{f}}_0(980)\to \mathbf{\varphi \eta }{\mathbf{\pi }}^0$ at BESIII
• Study of $a_0^0(980)$-$f_0(980)$ mixing from $a_0(1450)\to a_0^0(980)f_0(500)\to {\pi }^{+}{\pi }^{-}{f}_0(500)$
• Importance of closed quark loops for lattice QCD studies of tetraquarks
• Using a new analysis method to extract excited states in the scalar meson sector