We study the tetraquark with quantum numbers as well as the tetraquark with quantum numbers using lattice QCD. We improve on existing work by including both local and scattering interpolating operators on both sides of the correlation functions and use symmetric correlation matrices. This allows not only a reliable determination of the energies of QCD-stable tetraquark ground states, but also of low-lying excited states, which are meson-meson scattering states. The latter is particularly important for future finite-volume scattering analyses. Here, we perform chiral and continuum extrapolations of just the ground-state energies, for which finite-volume effects are expected to be small. Our resulting tetraquark binding energies, for and for , are consistent with other recent lattice-QCD predictions.
@article{osti_2446756,
author = {Alexandrou, Constantia and Finkenrath, Jacob and Leontiou, Theodoros and Meinel, Stefan and Pflaumer, Martin and Wagner, Marc},
title = {<math display='inline'> <mover accent='true'> <mi>b</mi> <mo stretchy='false'>¯</mo> </mover> <mover accent='true'> <mi>b</mi> <mo stretchy='false'>¯</mo> </mover> <mi>u</mi> <mi>d</mi> </math> and <math display='inline'> <mover accent='true'> <mi>b</mi> <mo stretchy='false'>¯</mo> </mover> <mover accent='true'> <mi>b</mi> <mo stretchy='false'>¯</mo> </mover> <mi>u</mi> <mi>s</mi> </math> tetraquarks from lattice QCD using symmetric correlation matrices with both local and scattering interpolating operators},
annote = { We study the b ¯ b ¯ u d tetraquark with quantum numbers I ( J P ) = 0 ( 1 + ) as well as the b ¯ b ¯ u s tetraquark with quantum numbers J P = 1 + using lattice QCD. We improve on existing work by including both local and scattering interpolating operators on both sides of the correlation functions and use symmetric correlation matrices. This allows not only a reliable determination of the energies of QCD-stable tetraquark ground states, but also of low-lying excited states, which are meson-meson scattering states. The latter is particularly important for future finite-volume scattering analyses. Here, we perform chiral and continuum extrapolations of just the ground-state energies, for which finite-volume effects are expected to be small. Our resulting tetraquark binding energies, − 100 ± 10 − 51 + 36 MeV for b ¯ b ¯ u d and − 30 ± 3 − 31 + 11 MeV for b ¯ b ¯ u s , are consistent with other recent lattice-QCD predictions. Published by the American Physical Society 2024 },
doi = {10.1103/PhysRevD.110.054510},
url = {https://www.osti.gov/biblio/2446756},
journal = {Physical Review. D.},
issn = {ISSN 2470-0010},
number = {5},
volume = {110},
place = {United States},
publisher = {American Physical Society},
year = {2024},
month = {09}}