TY  - CONF
AU  - Stump, Andres
AU  - Green, Jeremy Russell
TI  - Distillation and position-space sampling for local multiquark interpolators
JO  - Proceedings of Science / International School for Advanced Studies
VL  - (LATTICE2024)
IS  - DESY-24-186
SN  - 1824-8039
CY  - Trieste
PB  - SISSA
M1  - PUBDB-2025-00098
M1  - DESY-24-186
M1  - arXiv:2412.09246
M1  - HU-EP-24/41-RTG
SP  - 094
PY  - 2024
N1  - 10 pages, 3 figures. Talk presented at the 41st International Symposium on Lattice Field Theory (LATTICE2024), 28 July - 3 August 2024, Liverpool, UK
AB  - 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.
T2  - The 41st International Symposium on Lattice Field Theory
CY  - 28 Jul 2024 - 3 Aug 2024, Liverpool (UK)
Y2  - 28 Jul 2024 - 3 Aug 2024
M2  - Liverpool, UK
LB  - PUB:(DE-HGF)16 ; PUB:(DE-HGF)8
DO  - DOI:10.22323/1.466.0094
UR  - https://bib-pubdb1.desy.de/record/620264
ER  -