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 a0(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.
@article{arxiv.1701.07228,
title = {Investigating efficient methods for computing four-quark correlation functions},
author = {Abdou Abdel-Rehim and Constantia Alexandrou and Joshua Berlin and Mattia Dalla Brida and Jacob Finkenrath and Marc Wagner},
journal= {arXiv preprint arXiv:1701.07228},
year = {2017}
}