Preprint

PUBDB-2024-07153

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Distillation and position-space sampling for local multiquark interpolators

Stump, A.Extern* ; Green, J. R. (Corresponding author)DESY*

2024

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Please use a persistent id in citations: doi:10.3204/PUBDB-2024-07153

Report No.: DESY-24-186; arXiv:2412.09246

Abstract: 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 $T_{cc}(3875)^+$ 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.

Note: 10 pages, 3 figures. Talk presented at the 41st International Symposium on Lattice Field Theory (LATTICE2024), 28 July - 3 August 2024, Liverpool, UK

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Contributing Institute(s):

1. Zeuthen Particle PhysicsTheory (Z_ZPPT)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. GRK 2575 - GRK 2575: Überdenken der Quantenfeldtheorie (417533893) (417533893)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2024

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Database coverage:
; ; Published

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