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000618792 0247_ $$2arXiv$$aarXiv:2412.09246
000618792 0247_ $$2datacite_doi$$a10.3204/PUBDB-2024-07153
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000618792 088__ $$2arXiv$$aarXiv:2412.09246
000618792 1001_ $$0P:(DE-H253)PIP1107770$$aStump, Andres$$b0
000618792 245__ $$aDistillation and position-space sampling for local multiquark interpolators
000618792 260__ $$c2024
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000618792 500__ $$a10 pages, 3 figures. Talk presented at the 41st International Symposium on Lattice Field Theory (LATTICE2024), 28 July - 3 August 2024, Liverpool, UK
000618792 520__ $$aDistillation in lattice QCD is a smearing method that uses the lowest eigenvectors of the spatial Laplacian to construct a subspace in which the Dirac operator can be fully inverted. However, local multiquark interpolators are expensive in this framework because the cost of the contractions scales with a high power of the number of Laplacian eigenvectors. To address this, a position-space sampling method within distillation is presented that avoids this cost scaling. Our simulations show that this method works well for meson operators, but also for local tetraquark operators. In a preliminary study, we investigate the relevance of the latter for the ground state energy of the $T_{cc}(3875)^+$ tetraquark. There we find a downward shift in the lowest level when local tetraquark operators are added to a basis of bilocal scattering operators in the variational method. However, this shift is small compared to the error of the energy.
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000618792 7001_ $$0P:(DE-H253)PIP1103462$$aGreen, Jeremy Russell$$b1$$eCorresponding author$$udesy
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