skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Search for b ¯ b ¯ u s and b ¯ c ¯ u d tetraquark bound states using lattice QCD

Journal Article · · Physical Review D

We use lattice QCD to investigate the existence of strong-interaction-stable antiheavy-antiheavy-light-light tetraquarks. We study the $$\bar{bb}us$$ system with quantum numbers JP = 1+ as well as the $$\bar{b} \bar {c} ud$$ systems with quantum numbers I(JP) = 0(0+) and I(JP) = 0(1+). We carry out computations on five gauge-link ensembles with 2 + 1 flavors of domain-wall fermions, including one at the physical pion mass. The bottom quarks are implemented using lattice nonrelativistic QCD, and the charm quarks using an anisotropic clover action. In addition to local diquark-antidiquark and local meson-meson interpolating operators, we include nonlocal meson-meson operators at the sink, which facilitates the reliable determination of the low-lying energy levels. We find clear evidence for the existence of a strong-interaction-stable $$\bar{bb}us$$ tetraquark with binding energy (–86 ± 22 ± 10) MeV and mass (10609 ± 22 ± 10) MeV. For the $$\bar{b} \bar {c} ud$$ systems we do not find any indication for the existence of bound states, but cannot rule out their existence either.

Research Organization:
Univ. of Arizona, Tucson, AZ (United States); Univ. of California, Oakland, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); German Research Foundation (DFG); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF); National Science Foundation (NSF)
Grant/Contract Number:
SC0009913; AC02-05CH11231; ACI-1548562
OSTI ID:
1881991
Alternate ID(s):
OSTI ID: 1980154
Journal Information:
Physical Review D, Journal Name: Physical Review D Vol. 106 Journal Issue: 3; ISSN 2470-0010
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (85)

Charm-beauty meson bound states from B ( B * ) D ( D * ) and B ( B * ) D ¯ ( D ¯ * ) interaction journal September 2017
Exotic states in QCD journal June 1993
Evidence for charm-bottom tetraquarks and the mass dependence of heavy-light tetraquark states from lattice QCD journal March 2019
A perturbative determination of mass dependent improvement coefficients in a relativistic heavy quark action journal October 2004
Prospects of discovering stable double-heavy tetraquarks at a Tera- Z factory journal July 2018
Exotica journal March 2005
Lattice QCD signal for a bottom-bottom tetraquark journal June 2013
Heavy-quark bound states in lattice QCD journal January 1991
Axial symmetries in lattice QCD with Kaplan fermions journal April 1995
Heavy quarks on anisotropic lattices: The charmonium spectrum journal July 2001
Relativistic Heavy Quarks on the Lattice journal March 2003
Relativistic heavy quark effective action journal October 2007
Few-body quark dynamics for doubly heavy baryons and tetraquarks journal March 2018
Chiral fermions from lattice boundaries journal September 1993
Nonperturbatively determined relativistic heavy quark action journal October 2007
Dynamical study of Q Q u ¯ d ¯ mesons journal September 2006
New class of variance-reduction techniques using lattice symmetries journal November 2013
D s 0 * ( 2317 ) Meson and D -Meson-Kaon Scattering from Lattice QCD journal November 2013
Exotic b c q ¯ q ¯ four-quark states journal January 2019
Weak decays of the axial-vector tetraquark Tbb;u¯d¯ journal February 2019
Improved nonrelativistic QCD for heavy-quark physics journal November 1992
Heavy Tetraquarks in the Relativistic Quark Model journal April 2021
Lattice Prediction for Deeply Bound Doubly Heavy Tetraquarks journal April 2017
QQq̄q̄ Four-Quark Bound States in Chiral SU(3) Quark Model journal August 2008
Construction of bbu¯d¯ tetraquark states on lattice with NRQCD bottom and HISQ up and down quarks journal November 2020
Masses of the doubly heavy tetraquarks in a constituent quark model journal March 2019
How to search for doubly charmed baryons and tetraquarks journal April 1996
Including heavy spin effects in the prediction of a b ¯ b ¯ u d tetraquark with lattice QCD potentials journal February 2017
A method for simulating chiral fermions on the lattice journal August 1992
u d b ¯ b ¯ tetraquark resonances with lattice QCD potentials and the Born-Oppenheimer approximation journal September 2017
FLAG Review 2019: Flavour Lattice Averaging Group (FLAG) journal February 2020
B B interactions with static bottom quarks from lattice QCD journal February 2016
Stable multiquark states with heavy quarks in a diquark model journal September 2009
The X Y Z states: Experimental and theoretical status and perspectives journal August 2020
Heavy-Quark Symmetry Implies Stable Heavy Tetraquark Mesons Q i Q j q ¯ k q ¯ l journal November 2017
The Tcc = DD* Molecular State journal December 2004
Tetraquarks in a chiral constituent-quark model journal March 2004
Exotic Hadrons: Review and Perspectives journal October 2016
Systematical investigation on the stability of doubly heavy tetraquark states journal January 2020
Exotic open-flavor b c q ¯ q ¯ , b c s ¯ s ¯ and q c q ¯ b ¯ , s c s ¯ b ¯ tetraquark states journal March 2014
Masses of doubly heavy tetraquarks with error bars journal January 2021
Spectrum of baryons with two heavy quarks journal September 1990
Heavy-quark QCD exotica journal March 2017
Systematics of $$QQ{\bar{q}}{\bar{q}}$$ in a chiral constituent quark model journal September 2020
B ¯ ( * ) B ¯ ( * ) interactions in chiral effective field theory journal February 2019
Observation of an exotic narrow doubly charmed tetraquark journal June 2022
Tetraquark operators in lattice QCD and exotic flavour states in the charm sector journal November 2017
Study of doubly heavy tetraquarks in lattice QCD journal February 2019
Stability of dimesons journal February 1988
Continuum limit physics from 2 + 1 flavor domain wall QCD journal April 2011
Analytic smearing of SU ( 3 ) link variables in lattice QCD journal March 2004
D s mesons with D K and D * K scattering near threshold journal August 2014
Analysis of the Axialvector Doubly Heavy Tetraquark States with QCD Sum Rules journal January 2018
Nonstandard heavy mesons and baryons: Experimental evidence journal February 2018
Review of Particle Physics journal August 2020
Covariant approximation averaging journal June 2015
Study of the doubly charmed tetraquark $${{{{{{\rm{T}}}}}}}_{{{{{{\rm{c}}}}}}{{{{{\rm{c}}}}}}}^{+}$$ journal June 2022
Implications of heavy quark-diquark symmetry for excited doubly heavy baryons and tetraquarks journal November 2017
Renormalization group improved action for SU(3) lattice gauge theory and the string tension journal August 1984
Scattering processes and resonances from lattice QCD journal April 2018
Lattice investigation of exotic tetraquark channels journal December 2020
Importance of meson-meson and of diquark-antidiquark creation operators for a b¯b¯ud tetraquark journal June 2021
Discovery potential of stable and near-threshold doubly heavy tetraquarks at the LHC journal October 2018
Tetraquarks with heavy flavors journal June 1998
Massive fermions in lattice gauge theory journal April 1997
Evidence for the existence of u d b ¯ b ¯ and the nonexistence of s s b ¯ b ¯ and c c b ¯ b ¯ tetraquarks from lattice QCD journal July 2015
Nonperturbative tuning of an improved relativistic heavy-quark action with application to bottom spectroscopy journal December 2012
Lattice QCD investigation of a doubly-bottom b ¯ b ¯ u d tetraquark with quantum numbers I ( J P ) = 0 ( 1 + ) journal July 2019
The Möbius domain wall fermion algorithm journal November 2017
Observation of Two Charged Bottomoniumlike Resonances in Υ ( 5 S ) Decays journal March 2012
Effective field theory Lagrangians for baryons with two and three heavy quarks journal August 2005
Systematics of $$L = 0q^2 \bar q^2 $$ systems journal June 1993
Two-particle states on a torus and their relation to the scattering matrix journal May 1991
Heavy-quark spin and flavor symmetry partners of the X ( 3872 ) revisited: What can we learn from the one boson exchange model? journal May 2019
Calibration of smearing and cooling algorithms in SU(3)-color gauge theory journal October 2000
Multiquark resonances journal January 2017
Domain wall QCD with physical quark masses journal April 2016
Doubly heavy hadrons and the domain of validity of doubly heavy diquark-antiquark symmetry journal November 2006
Masses of tetraquarks with two heavy quarks in the relativistic quark model journal December 2007
QCD sum rules study of mesons journal May 2007
Masses of doubly heavy tetraquarks T Q Q in a relativized quark model journal August 2020
Signature of a Doubly Charm Tetraquark Pole in DD* Scattering on the Lattice journal July 2022
Masses and widths of the exotic molecular B(s)(*)B(s)(*) states journal April 2022
Double-heavy tetraquarks journal January 2020
Glueball masses and string tension in lattice QCD journal June 1987