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Title: Searching for beauty-fully bound tetraquarks using lattice nonrelativistic QCD

Motivated by multiple phenomenological considerations, we perform the first search for the existence of a $$\bar{bb}bb$$ tetraquark bound state with a mass below the lowest noninteracting bottomonium-pair threshold using the first-principles lattice nonrelativistic QCD methodology. Here, we use a full S-wave color/spin basis for the $$\bar{bb}bb$$ operators in the three 0 ++, 1 +- and 2 ++ channels. We employ four gluon field ensembles at multiple lattice spacing values ranging from a=0.06–0.12 fm, all of which include u, d, s and c quarks in the sea, and one ensemble which has physical light-quark masses. Additionally, we perform novel exploratory work with the objective of highlighting any signal of a near threshold tetraquark, if it existed, by adding an auxiliary potential into the QCD interactions. With our results we find no evidence of a QCD bound tetraquark below the lowest noninteracting thresholds in the channels studied.
Authors:
 [1] ;  [1] ;  [2]
  1. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
  2. Univ. of Glasgow, Scotland (United Kingdom). SUPA, School of Physics and Astronomy
Publication Date:
Report Number(s):
FERMILAB-PUB-17-381-T; arXiv:1710.03236
Journal ID: ISSN 2470-0010; PRVDAQ; 1629553
Grant/Contract Number:
AC02-07CH11359
Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 97; Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Research Org:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1426010
Alternate Identifier(s):
OSTI ID: 1407122

Hughes, Ciaran, Eichten, Estia, and Davies, Christine T. H.. Searching for beauty-fully bound tetraquarks using lattice nonrelativistic QCD. United States: N. p., Web. doi:10.1103/PhysRevD.97.054505.
Hughes, Ciaran, Eichten, Estia, & Davies, Christine T. H.. Searching for beauty-fully bound tetraquarks using lattice nonrelativistic QCD. United States. doi:10.1103/PhysRevD.97.054505.
Hughes, Ciaran, Eichten, Estia, and Davies, Christine T. H.. 2018. "Searching for beauty-fully bound tetraquarks using lattice nonrelativistic QCD". United States. doi:10.1103/PhysRevD.97.054505.
@article{osti_1426010,
title = {Searching for beauty-fully bound tetraquarks using lattice nonrelativistic QCD},
author = {Hughes, Ciaran and Eichten, Estia and Davies, Christine T. H.},
abstractNote = {Motivated by multiple phenomenological considerations, we perform the first search for the existence of a $\bar{bb}bb$ tetraquark bound state with a mass below the lowest noninteracting bottomonium-pair threshold using the first-principles lattice nonrelativistic QCD methodology. Here, we use a full S-wave color/spin basis for the $\bar{bb}bb$ operators in the three 0++, 1+- and 2++ channels. We employ four gluon field ensembles at multiple lattice spacing values ranging from a=0.06–0.12 fm, all of which include u, d, s and c quarks in the sea, and one ensemble which has physical light-quark masses. Additionally, we perform novel exploratory work with the objective of highlighting any signal of a near threshold tetraquark, if it existed, by adding an auxiliary potential into the QCD interactions. With our results we find no evidence of a QCD bound tetraquark below the lowest noninteracting thresholds in the channels studied.},
doi = {10.1103/PhysRevD.97.054505},
journal = {Physical Review D},
number = 5,
volume = 97,
place = {United States},
year = {2018},
month = {3}
}