Tetraquarks, hadronic molecules, meson-meson scattering and disconnected contributions in lattice QCD

Abstract

There are generally two types of Wick contractions in lattice QCD calculations of a correlation function --- connected and disconnected ones. The disconnected contribution is difficult to calculate and noisy, thus it is often neglected. In the context of studying tetraquarks, hadronic molecules and meson-meson scattering, we show that whenever there are both connected and singly disconnected contractions, the singly disconnected part gives the leading order contribution, and thus should never be neglected. As an explicit example, we show that information about the scalar mesons sigma, f0(980), a0(980) and kappa will be lost when neglecting the disconnected contributions.

9 pages, 2 figures

References in corpus (13)

• Study of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ and Observation of a Charged Charmonium-like State at Belle
• A novel quark-field creation operator construction for hadronic physics in lattice QCD
• Evidence for X(3872) from DD* scattering on the lattice
• Scalar Mesons a0(1450) and sigma(600) from Lattice QCD
• Narrow Tetraquarks at Large N
• Lattice study of light scalar tetraquarks with I=0,2,1/2,3/2: are sigma and kappa tetraquarks?
• K pi scattering and the K* decay width from lattice QCD
• Quark disconnected diagrams in chiral perturbation theory
• Lattice QCD study of the s-wave $\pi \pi$ scattering lengths in the I=0 and 2 channels
• Hadronic Interactions from Lattice QCD
• Tetra-Quark Resonances in Lattice QCD
• Connected Parts of Decuplet Electromagnetic Properties
• Lowest-lying Tetra-Quark Hadrons in Anisotropic Lattice QCD

Cited by in corpus (27)

• Pentaquark and Tetraquark states
• QCD and strongly coupled gauge theories: challenges and perspectives
• Novel Six-Quark Hidden-Color Dibaryon States in QCD
• Strong and radiative decays of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$
• Landau equation and QCD sum rules for the tetraquark molecular states
• Tetraquarks in large-$N_c$ QCD
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Lattice QCD study of four-quark components of the isosinglet scalar mesons: Significance of disconnected diagrams
• Importance of meson-meson and of diquark-antidiquark creation operators for a $\bar{b}\bar{b}ud$ tetraquark
• Tetraquark and two-meson states at large $N_{\mathrm{c}}$
• $I=1/2$ $S$-wave and $P$-wave $K\pi$ scattering and the $\kappa$ and $K^{\ast }$ resonances from lattice QCD
• Lattice QCD investigation of the structure of the $a_0(980)$ meson
• Connected and Disconnected Contractions in Pion-Pion Scattering
• Cluster reducibility of multiquark operators
• $a_0(980)-f_0(980)$ mixing in ${\chi }_{c1}\to {\pi }^0{f}_0(980)\to {\pi }^0{\pi }^{+}{\pi }^{-}$ and ${\chi }_{c1}\to {\pi }^0{a}_0(980)\to {\pi }^0{\pi }^0\eta$
• Investigating the composition of the K${}_0^{\ast }(700)$ state with ${\pi }^{\pm }$K${}_{\mathrm{S}}^0$ correlations at the LHC
• Towards a precision determination of the $X(6200)$ parameters from data
• OPE and quark-hadron duality for two-point functions of tetraquark currents in $1/N_c$ expansion
• Contraction Diagram Analysis in Pion-Kaon Scattering
• The $\pi \pi$ scattering amplitude at large $N_{\text{c}}$
• Constraints on Disconnected Contributions in $\pi \pi$ Scattering
• Another walk through the world of chiral dynamics
• I=1/2 low-lying mesons in lattice QCD
• Large-$N_c$ QCD and tetraquarks
• Study of the tau meson decay modes with Monte Carlo generator TAUOLA. Status and perspectives
• Unified Hamiltonian model for mesons and baryons
• Investigating the role of tetraquark operators in lattice QCD studies of the $a_0(980)$ and $\kappa$ resonances