Investigating efficient methods for computing four-quark correlation functions

Abstract

We discuss and compare the efficiency of various methods, combinations of point-to-all propagators, stochastic timeslice-to-all propagators, the one-end trick and sequential propagators, to compute two-point correlation functions of two-quark and four-quark interpolating operators of different structure including quark-antiquark type, mesonic molecule type, diquark-antidiquark type and two-meson type. Although we illustrate our methods in the context of the $a_0(980)$, they can be applied for other multi-quark systems, where similar diagrams appear. Thus our results could provide helpful guidelines on the choice of methods for correlation function computation for future lattice QCD studies of meson-meson scattering and possibly existing tetraquark states.

47 pages, 18 figures

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Cited by in corpus (8)

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• Importance of meson-meson and of diquark-antidiquark creation operators for a $\bar{b}\bar{b}ud$ tetraquark
• Tetraquark interpolating fields in a lattice QCD investigation of the $D_{s0}^{\ast }(2317)$ meson
• Shallow Bound States and Hints for Broad Resonances with Quark Content $\bar{b}\bar{c}ud$ in $B$-$\bar{D}$ and $B^{\ast }$-$\bar{D}$ Scattering from Lattice QCD
• Bound isoscalar axial-vector $bc\bar{u}\bar{d}$ tetraquark $T_{bc}$ from lattice QCD using two-meson and diquark-antidiquark variational basis
• Lattice QCD investigation of the structure of the $a_0(980)$ meson
• The HAL QCD potential in $I=1$ $\pi \pi$ system with the $\rho$ meson bound state
• Study of the pion-pion scatterings with a combination of all-to-all propagators and the HAL QCD method