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• W2770670578 abstract "We investigate the quark content of the low-lying states in the $I({J}^{P})=1({0}^{+})$ sector, which are the quantum numbers of the ${a}_{0}(980)$ meson, using lattice QCD. To this end, we consider correlation functions of six different two- and four-quark interpolating fields. We evaluate all diagrams, including diagrams, where quarks propagate within a time slice, e.g. with closed quark loops. We demonstrate that diagrams containing such closed quark loops have a drastic effect on the final results and, thus, may not be neglected. Our analysis, which is carried out at unphysically heavy $u$ and $d$ quark mass corresponding to ${m}_{ensuremath{pi}}=296(3)text{ }text{ }mathrm{MeV}$ and in a single spatial volume of extent 2.9 fm, shows that in addition to the expected spectrum of two-meson scattering states there is an additional energy level around the two-particle thresholds of $K+overline{K}$ and $ensuremath{eta}+ensuremath{pi}$. This additional state, which is a candidate for the ${a}_{0}(980)$ meson, couples to a quark-antiquark as well as to a diquark-antidiquark interpolating field, indicating that it is a superposition of an ordinary $overline{q}q$ and a tetraquark structure. The analysis is performed using AMIAS, a novel statistical method based on the sampling of all possible spectral decompositions of the considered correlation functions, as well as solving standard generalized eigenvalue problems." @default.
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• W2770670578 date "2018-02-12" @default.
• W2770670578 modified "2023-09-24" @default.
• W2770670578 title "Lattice QCD investigation of the structure of the <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:msub><mml:mi>a</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo stretchy=false>(</mml:mo><mml:mn>980</mml:mn><mml:mo stretchy=false>)</mml:mo></mml:math> meson" @default.
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• W2770670578 doi "https://doi.org/10.1103/physrevd.97.034506" @default.
• W2770670578 hasPublicationYear "2018" @default.
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