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Title: Tetraquark operators in lattice QCD and exotic flavour states in the charm sector

Journal Article · · Journal of High Energy Physics (Online)
 [1]; ORCiD logo [1];  [2];  [3]
  1. Univ. of Cambridge, Cambridge (United Kingdom)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States)
  3. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

We present a general class of operators resembling compact tetraquarks which have a range of colour-flavour-spin structures, transform irreducibly under the symmetries of the lattice and respect other relevant symmetries. These constructions are demonstrated in lattice QCD calculations with light quarks corresponding to mπ = 391 MeV. Using the distillation framework, correlation functions involving large bases of meson-meson and tetraquark operators are computed in the isospin-1 hidden-charm and doubly-charmed sectors, and finite-volume spectra are extracted with the variational method. We find the spectra are insensitive to the addition of tetraquark operators to the bases of meson-meson operators. For the first time, through using diverse bases of meson-meson operators, the multiple energy levels associated with meson-meson levels which would be degenerate in the non-interacting limit are extracted reliably. The number of energy levels in each spectrum is found to be equal to the number of expected non-interacting meson-meson levels in the energy region considered and the majority of energies lie close to the non-interacting levels. Furthermore, there is no strong indication for any bound state or narrow resonance in the channels we study.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Contributing Organization:
for the Hadron Spectrum collaboration
Grant/Contract Number:
AC05-06OR23177; SC0006765
OSTI ID:
1416530
Report Number(s):
JLAB-THY-17-2541; DOE/OR/23177-4205; arXiv:1709.01417; PII: 7009; TRN: US1800952
Journal Information:
Journal of High Energy Physics (Online), Vol. 2017, Issue 11; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 42 works
Citation information provided by
Web of Science

References (50)

Exotic states in QCD journal June 1993
Lattice QCD study of heavy-heavy-light-light tetraquark candidates
  • Peters, Antje; Bicudo, Pedro; Leskovec, Luka
  • Proceedings of 34th annual International Symposium on Lattice Field Theory — PoS(LATTICE2016) https://doi.org/10.22323/1.256.0104
conference March 2017
Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD journal October 2016
Exotica journal March 2005
Lattice QCD signal for a bottom-bottom tetraquark journal June 2013
Review of Particle Physics journal October 2016
Angular momentum on the lattice: The case of nonzero linear momentum journal January 2006
Production and detection of doubly charmed tetraquarks journal January 2005
Solving lattice QCD systems of equations using mixed precision solvers on GPUs journal September 2010
Diquark-antidiquark states with hidden or open charm and the nature of X ( 3872 ) journal January 2005
Angular momentum on a lattice journal July 1982
Isoscalar π π Scattering and the σ Meson Resonance from QCD journal January 2017
Resonances in Coupled π K η K Scattering from Quantum Chromodynamics journal October 2014
Lattice Prediction for Deeply Bound Doubly Heavy Tetraquarks journal April 2017
Excited spectroscopy of charmed mesons from lattice QCD journal May 2013
QCD and strongly coupled gauge theories: challenges and perspectives journal October 2014
Signatures of unstable particles in finite volume journal October 1991
u d b ¯ b ¯ tetraquark resonances with lattice QCD potentials and the Born-Oppenheimer approximation journal September 2017
Energy dependence of the ρ resonance in π π elastic scattering from lattice QCD journal February 2013
Two-particle states on a torus and their relation to the scattering matrix journal May 1991
Fate of the Tetraquark Candidate Z c ( 3900 ) from Lattice QCD journal December 2016
Utilising optimised operators and distillation to extract scattering phase shifts conference March 2017
Production of doubly charmed tetraquarks with exotic color configurations in electron–positron collisions journal April 2013
Adjoint sources in lattice gauge theory journal September 1985
Multiparticle states and the hadron spectrum on the lattice journal September 2006
Multiquark resonances journal January 2017
Heavy-quark QCD exotica journal March 2017
How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation journal July 1990
The hidden-charm pentaquark and tetraquark states journal June 2016
Tables of SU(3) Isoscalar Factors journal November 1995
The Octet Model and its Clebsch-Gordan Coefficients journal October 1963
Charmed tetraquarks <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:math> and <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:math> from dynamical lattice QCD simulations journal February 2014
The Chroma Software System for Lattice QCD journal March 2005
Why static bound-state calculations of tetraquarks should be met with scepticism journal May 2017
Erratum: Angular momentum on the lattice: The case of nonzero linear momentum [Phys. Rev. D 73 , 014504 (2006)] journal October 2006
Novel quark-field creation operator construction for hadronic physics in lattice QCD journal September 2009
First results from 2 + 1 dynamical quark flavors on an anisotropic lattice: Light-hadron spectroscopy and setting the strange-quark mass journal February 2009
Isoscalar ππ Scattering and the σ Meson Resonance from QCD text January 2017
QCD and Strongly Coupled Gauge Theories: Challenges and Perspectives text January 2014
Utilising optimised operators and distillation to extract scattering phase shifts collection January 2016
Solving Lattice QCD systems of equations using mixed precision solvers on GPUs text January 2009
Production of doubly charmed tetraquarks with exotic color configurations in electron-positron collisions text January 2012
Lattice QCD signal for a bottom-bottom tetraquark text January 2012
Excited spectroscopy of charmed mesons from lattice QCD text January 2013
The hidden-charm pentaquark and tetraquark states text January 2016
Heavy-Quark QCD Exotica text January 2016
Multiquark Resonances text January 2016
Utilising optimised operators and distillation to extract scattering phase shifts text January 2016
The Chroma Software System for Lattice QCD text January 2004
Production and detection of doubly charmed tetraquarks text January 2004

Cited By (4)

Study of doubly heavy tetraquarks in lattice QCD text January 2019
Tetraquark interpolating fields in a lattice QCD investigation of the D s 0 * ( 2317 ) meson journal February 2020
Three-particle systems with resonant subprocesses in a finite volume text January 2018
Doubly-heavy tetraquarks text January 2019

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