%0 Electronic Article
%A Stump, Andres
%A Green, Jeremy Russell
%T Distillation and position-space sampling for local multiquark interpolators
%N DESY-24-186
%M PUBDB-2024-07153
%M DESY-24-186
%M arXiv:2412.09246
%D 2024
%Z 10 pages, 3 figures. Talk presented at the 41st International Symposium on Lattice Field Theory (LATTICE2024), 28 July - 3 August 2024, Liverpool, UK
%X Distillation in lattice QCD is a smearing method that uses the lowest eigenvectors of the spatial Laplacian to construct a subspace in which the Dirac operator can be fully inverted. However, local multiquark interpolators are expensive in this framework because the cost of the contractions scales with a high power of the number of Laplacian eigenvectors. To address this, a position-space sampling method within distillation is presented that avoids this cost scaling. Our simulations show that this method works well for meson operators, but also for local tetraquark operators. In a preliminary study, we investigate the relevance of the latter for the ground state energy of the T<sub>cc</sub>(3875)<sup>+</sup> tetraquark. There we find a downward shift in the lowest level when local tetraquark operators are added to a basis of bilocal scattering operators in the variational method. However, this shift is small compared to the error of the energy.
%F PUB:(DE-HGF)25
%9 Preprint
%R 10.3204/PUBDB-2024-07153
%U https://bib-pubdb1.desy.de/record/618792