Searching for beauty-fully bound tetraquarks using lattice nonrelativistic QCD
Abstract
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:
- Publication Date:
- Research Org.:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1426010
- Alternate Identifier(s):
- OSTI ID: 1407122
- Report Number(s):
- FERMILAB-PUB-17-381-T; arXiv:1710.03236
Journal ID: ISSN 2470-0010; PRVDAQ; 054505
- Grant/Contract Number:
- AC02-07CH11359
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 5; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Hughes, Ciaran, Eichten, Estia, and Davies, Christine T. H. Searching for beauty-fully bound tetraquarks using lattice nonrelativistic QCD. United States: N. p., 2018.
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. https://doi.org/10.1103/PhysRevD.97.054505
Hughes, Ciaran, Eichten, Estia, and Davies, Christine T. H. Wed .
"Searching for beauty-fully bound tetraquarks using lattice nonrelativistic QCD". United States. https://doi.org/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 = {Wed Mar 14 00:00:00 EDT 2018},
month = {Wed Mar 14 00:00:00 EDT 2018}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.97.054505
https://doi.org/10.1103/PhysRevD.97.054505
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 75 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Helicity operators for mesons in flight on the lattice
journal, January 2012
- Thomas, Christopher E.; Edwards, Robert G.; Dudek, Jozef J.
- Physical Review D, Vol. 85, Issue 1
Radiative improvement of the lattice nonrelativistic QCD action using the background field method with applications to quarkonium spectroscopy
journal, July 2013
- Hammant, T. C.; Hart, A. G.; von Hippel, G. M.
- Physical Review D, Vol. 88, Issue 1
Lattice QCD signal for a bottom-bottom tetraquark
journal, June 2013
- Bicudo, Pedro; Wagner, Marc
- Physical Review D, Vol. 87, Issue 11
Coupled-channel scattering on a torus
journal, July 2013
- Guo, Peng; Dudek, Jozef J.; Edwards, Robert G.
- Physical Review D, Vol. 88, Issue 1
states: Masses, production, and decays
journal, February 2017
- Karliner, Marek; Nussinov, Shmuel; Rosner, Jonathan L.
- Physical Review D, Vol. 95, Issue 3
- and -wave phase shifts in isospin-2 scattering from lattice QCD
journal, August 2012
- Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E.
- Physical Review D, Vol. 86, Issue 3
Multiquark hadrons. I. Phenomenology of mesons
journal, January 1977
- Jaffe, R. J.
- Physical Review D, Vol. 15, Issue 1
Erratum: Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium [Phys. Rev. D 51 , 1125 (1995)]
journal, May 1997
- Bodwin, Geoffrey T.; Braaten, Eric; Lepage, G. Peter
- Physical Review D, Vol. 55, Issue 9
Update: Precision decay constant from full lattice QCD using very fine lattices
journal, December 2010
- Davies, C. T. H.; McNeile, C.; Follana, E.
- Physical Review D, Vol. 82, Issue 11
Moving multichannel systems in a finite volume with application to proton-proton fusion
journal, November 2013
- Briceño, Raúl A.; Davoudi, Zohreh
- Physical Review D, Vol. 88, Issue 9
Adiabaticity and color mixing in tetraquark spectroscopy
journal, February 2013
- Vijande, J.; Valcarce, A.; Richard, J. -M.
- Physical Review D, Vol. 87, Issue 3
and leptonic widths, , and from full lattice QCD
journal, April 2015
- Colquhoun, B.; Dowdall, R. J.; Davies, C. T. H.
- Physical Review D, Vol. 91, Issue 7
Improved nonrelativistic QCD for heavy-quark physics
journal, November 1992
- Lepage, G. Peter; Magnea, Lorenzo; Nakhleh, Charles
- Physical Review D, Vol. 46, Issue 9
High-precision quark masses and QCD coupling from lattice QCD
journal, March 2015
- Chakraborty, Bipasha; Davies, C. T. H.; Galloway, B.
- Physical Review D, Vol. 91, Issue 5
Prediction of the Bottomonium -Wave Spectrum from Full Lattice QCD
journal, March 2012
- Daldrop, J. O.; Davies, C. T. H.; Dowdall, R. J.
- Physical Review Letters, Vol. 108, Issue 10
Erratum: Bottomonium hyperfine splittings from lattice nonrelativistic QCD including radiative and relativistic corrections [Phys. Rev. D 89 , 031502(R) (2014)]
journal, August 2015
- Dowdall, R. J.; Davies, C. T. H.; Hammant, T.
- Physical Review D, Vol. 92, Issue 3
Lattice Prediction for Deeply Bound Doubly Heavy Tetraquarks
journal, April 2017
- Francis, A.; Hudspith, R. J.; Lewis, R.
- Physical Review Letters, Vol. 118, Issue 14
tetraquark resonances with lattice QCD potentials and the Born-Oppenheimer approximation
journal, September 2017
- Bicudo, Pedro; Cardoso, Marco; Peters, Antje
- Physical Review D, Vol. 96, Issue 5
Mirage in temporal correlation functions for baryon-baryon interactions in lattice QCD
journal, October 2016
- Iritani, T.; Doi, T.; Aoki, S.
- Journal of High Energy Physics, Vol. 2016, Issue 10
Hunting for exotic doubly hidden-charm/bottom tetraquark states
journal, October 2017
- Chen, Wei; Chen, Hua-Xing; Liu, Xiang
- Physics Letters B, Vol. 773
Hindered M1 radiative decay of from lattice NRQCD
journal, November 2015
- Hughes, Ciaran; Dowdall, Rachel J.; Davies, Christine T. H.
- Physical Review D, Vol. 92, Issue 9
Heavy-Quark Symmetry Implies Stable Heavy Tetraquark Mesons
journal, November 2017
- Eichten, Estia J.; Quigg, Chris
- Physical Review Letters, Vol. 119, Issue 20
Radiative corrections to the lattice gluon action for highly improved staggered quarks and the effect of such corrections on the static potential
journal, April 2009
- Hart, A.; von Hippel, G. M.; Horgan, R. R.
- Physical Review D, Vol. 79, Issue 7
Toward the excited meson spectrum of dynamical QCD
journal, August 2010
- Dudek, Jozef J.; Edwards, Robert G.; Peardon, Michael J.
- Physical Review D, Vol. 82, Issue 3
Highly improved staggered quarks on the lattice with applications to charm physics
journal, March 2007
- Follana, E.; Mason, Q.; Davies, C.
- Physical Review D, Vol. 75, Issue 5
Two-particle multichannel systems in a finite volume with arbitrary spin
journal, April 2014
- Briceño, Raúl A.
- Physical Review D, Vol. 89, Issue 7
String dynamics and metastability of all-heavy tetraquarks
journal, March 2017
- Richard, Jean-Marc; Valcarce, A.; Vijande, J.
- Physical Review D, Vol. 95, Issue 5
Bottomonium hyperfine splittings from lattice nonrelativistic QCD including radiative and relativistic corrections
journal, February 2014
- Dowdall, R. J.; Davies, C. T. H.; Hammant, T.
- Physical Review D, Vol. 89, Issue 3
The strategy for computing the hadronic mass spectrum
journal, January 1984
- Parisi, Giorgio
- Physics Reports, Vol. 103, Issue 1-4
Two particle states and the S -matrix elements in multi-channel scattering
journal, July 2005
- He, Song; Feng, Xu; Liu, Chuan
- Journal of High Energy Physics, Vol. 2005, Issue 07
Constrained curve fitting
journal, March 2002
- Lepage, G. P.; Clark, B.; Davies, C. T. H.
- Nuclear Physics B - Proceedings Supplements, Vol. 106-107
Angular momentum on the lattice: The case of nonzero linear momentum
journal, January 2006
- Moore, David C.; Fleming, George T.
- Physical Review D, Vol. 73, Issue 1
Lattice QCD ensembles with four flavors of highly improved staggered quarks
journal, March 2013
- Bazavov, A.; Bernard, C.; Komijani, J.
- Physical Review D, Vol. 87, Issue 5
Long-range properties of bottomonium states
journal, March 2016
- Brambilla, Nora; Krein, Gastão; Tarrús Castellà, Jaume
- Physical Review D, Vol. 93, Issue 5
Scattering phases for meson and baryon resonances on general moving-frame lattices
journal, November 2012
- Göckeler, M.; Horsley, R.; Lage, M.
- Physical Review D, Vol. 86, Issue 9
Scaling studies of QCD with the dynamical highly improved staggered quark action
journal, October 2010
- Bazavov, A.; Bernard, C.; DeTar, C.
- Physical Review D, Vol. 82, Issue 7
The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea
journal, March 2012
- Dowdall, R. J.; Colquhoun, B.; Daldrop, J. O.
- Physical Review D, Vol. 85, Issue 5
Analysis of the $$QQ\bar{Q}\bar{Q}$$ Q Q Q ¯ Q ¯ tetraquark states with QCD sum rules
journal, June 2017
- Wang, Zhi-Gang
- The European Physical Journal C, Vol. 77, Issue 7
Two-nucleon higher partial-wave scattering from lattice QCD
journal, February 2017
- Berkowitz, Evan; Kurth, Thorsten; Nicholson, Amy
- Physics Letters B, Vol. 765
Evidence for the existence of and the nonexistence of and tetraquarks from lattice QCD
journal, July 2015
- Bicudo, Pedro; Cichy, Krzysztof; Peters, Antje
- Physical Review D, Vol. 92, Issue 1
Systematics of systems with a chromomagnetic interaction
journal, September 1992
- Silvestre-Brac, B.
- Physical Review D, Vol. 46, Issue 5
Heavy tetraquarks production at the LHC
journal, August 2012
- Berezhnoy, A. V.; Luchinsky, A. V.; Novoselov, A. A.
- Physical Review D, Vol. 86, Issue 3
Heavy quarkonium: progress, puzzles, and opportunities
journal, February 2011
- Brambilla, N.; Eidelman, S.; Heltsley, B. K.
- The European Physical Journal C, Vol. 71, Issue 2
An resonance in strongly coupled , scattering from lattice QCD
journal, May 2016
- Dudek, Jozef J.; Edwards, Robert G.; Wilson, David J.
- Physical Review D, Vol. 93, Issue 9
Two-particle states on a torus and their relation to the scattering matrix
journal, May 1991
- Lüscher, Martin
- Nuclear Physics B, Vol. 354, Issue 2-3
Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium
journal, February 1995
- Bodwin, Geoffrey T.; Braaten, Eric; Lepage, G. Peter
- Physical Review D, Vol. 51, Issue 3
-Meson Decay Constants from Improved Lattice Nonrelativistic QCD with Physical , , , and Quarks
journal, May 2013
- Dowdall, R. J.; Davies, C. T. H.; Horgan, R. R.
- Physical Review Letters, Vol. 110, Issue 22
from and decay constants in full lattice QCD with physical , , , and quarks
journal, October 2013
- Dowdall, R. J.; Davies, C. T. H.; Lepage, G. P.
- Physical Review D, Vol. 88, Issue 7
Finite-volume effects for two-hadron states in moving frames
journal, October 2005
- Kim, C. H.; Sachrajda, C. T.; Sharpe, Stephen R.
- Nuclear Physics B, Vol. 727, Issue 1-2
Tetraquark Spectroscopy: A Symmetry Analysis
journal, November 2009
- Vijande, Javier; Valcarce, Alfredo
- Symmetry, Vol. 1, Issue 2
Stability of multiquarks in a simple string model
journal, December 2007
- Vijande, J.; Valcarce, A.; Richard, J. -M.
- Physical Review D, Vol. 76, Issue 11
Scattering phases for meson and baryon resonances on general moving-frame lattices
text, January 2012
- Gockeler, M.; Horsley, R.; Lage, M.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Works referencing / citing this record:
Analysis of hidden-bottom $bb\bar{b}\bar{b}$ states
journal, July 2019
- Chen, Xiaoyun
- The European Physical Journal A, Vol. 55, Issue 7
Hadrons and nuclei
journal, November 2019
- Detmold, William; Edwards, Robert G.; Dudek, Jozef J.
- The European Physical Journal A, Vol. 55, Issue 11
Spectroscopy and decays of the fully-heavy tetraquarks
journal, August 2018
- Anwar, Muhammad Naeem; Ferretti, Jacopo; Guo, Feng-Kun
- The European Physical Journal C, Vol. 78, Issue 8
A $$bb{\bar{b}}{\bar{b}}$$ di-bottomonium at the LHC?
journal, September 2018
- Esposito, Angelo; Polosa, Antonio D.
- The European Physical Journal C, Vol. 78, Issue 9