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

Cheung, Gavin K. C.; Thomas, Christopher E.; Dudek, Jozef J.; Edwards, Robert G.

doi:10.1007/JHEP11(2017)033

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

Abstract

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 m_π = 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.

Authors:

Cheung, Gavin K. C. ^[1];

^[1]; Dudek, Jozef J. ^[2]; Edwards, Robert G. ^[3]

Univ. of Cambridge, Cambridge (United Kingdom)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Publication Date:: Wed Nov 08 00:00:00 EST 2017

Research Org.:: 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 Org.:: USDOE Office of Science (SC)

Contributing Org.:: for the Hadron Spectrum collaboration

OSTI Identifier:: 1416530

Report Number(s):: JLAB-THY-17-2541; DOE/OR/23177-4205; arXiv:1709.01417
Journal ID: ISSN 1029-8479; PII: 7009; TRN: US1800952

Grant/Contract Number:: AC05-06OR23177; SC0006765

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 11; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Lattice field theory simulation; QCD Phenomenology

Citation Formats


                    Cheung, Gavin K. C., Thomas, Christopher E., Dudek, Jozef J., and Edwards, Robert G. Tetraquark operators in lattice QCD and exotic flavour states in the charm sector.  United States: N. p., 2017. 
Web.  doi:10.1007/JHEP11(2017)033.

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                    Cheung, Gavin K. C., Thomas, Christopher E., Dudek, Jozef J., & Edwards, Robert G. Tetraquark operators in lattice QCD and exotic flavour states in the charm sector.  United States.  https://doi.org/10.1007/JHEP11(2017)033

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                    Cheung, Gavin K. C., Thomas, Christopher E., Dudek, Jozef J., and Edwards, Robert G. Wed .  
"Tetraquark operators in lattice QCD and exotic flavour states in the charm sector".  United States.  https://doi.org/10.1007/JHEP11(2017)033.  https://www.osti.gov/servlets/purl/1416530.

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@article{osti_1416530,

  title        = {Tetraquark operators in lattice QCD and exotic flavour states in the charm sector},

  author       = {Cheung, Gavin K. C. and Thomas, Christopher E. and Dudek, Jozef J. and Edwards, Robert G.},

  abstractNote = {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.},

  doi          = {10.1007/JHEP11(2017)033},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 11,

  volume       = 2017,

  place        = {United States},

  year         = {Wed Nov 08 00:00:00 EST 2017},

  month        = {Wed Nov 08 00:00:00 EST 2017}

}

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Works referenced in this record:

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Multiquark resonances
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Production of doubly charmed tetraquarks with exotic color configurations in electron-positron collisions
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Lattice QCD signal for a bottom-bottom tetraquark
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Excited spectroscopy of charmed mesons from lattice QCD
text, January 2013

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The hidden-charm pentaquark and tetraquark states
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Works referencing / citing this record:

Study of doubly heavy tetraquarks in lattice QCD
text, January 2019

Junnarkar, Parikshit; Mathur, Nilmani; Padmanath, M.
Universität Regensburg
DOI: 10.5283/epub.45514

Tetraquark interpolating fields in a lattice QCD investigation of the $D_{s 0}^{*} (2317)$ meson
journal, February 2020

Alexandrou, Constantia; Berlin, Joshua; Finkenrath, Jacob
Physical Review D, Vol. 101, Issue 3
DOI: 10.1103/physrevd.101.034502

Three-particle systems with resonant subprocesses in a finite volume
text, January 2018

Briceño, Raúl A.; Hansen, Maxwell T.; Sharpe, Stephen R.
arXiv
DOI: 10.48550/arxiv.1810.01429

Doubly-heavy tetraquarks
text, January 2019

Yang, Gang; Ping, Jialun; Segovia, Jorge
arXiv
DOI: 10.48550/arxiv.1911.00215

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

Abstract

Citation Formats

Exotic states in QCD journal, June 1993

Lattice QCD study of heavy-heavy-light-light tetraquark candidates 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

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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

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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

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

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

Exotic states in QCD
journal, June 1993

Lattice QCD study of heavy-heavy-light-light tetraquark candidates
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Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD
journal, October 2016

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Lattice QCD signal for a bottom-bottom tetraquark
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Angular momentum on the lattice: The case of nonzero linear momentum
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journal, September 2010

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Isoscalar $π π$ Scattering and the $σ$ Meson Resonance from QCD
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journal, October 2014

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QCD and strongly coupled gauge theories: challenges and perspectives
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Energy dependence of the $ρ$ resonance in $π π$ elastic scattering from lattice QCD
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Two-particle states on a torus and their relation to the scattering matrix
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Fate of the Tetraquark Candidate $Z_{c} (3900)$ from Lattice QCD
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Utilising optimised operators and distillation to extract scattering phase shifts
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Production of doubly charmed tetraquarks with exotic color configurations in electron–positron collisions
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Adjoint sources in lattice gauge theory
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Multiparticle states and the hadron spectrum on the lattice
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Multiquark resonances
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The hidden-charm pentaquark and tetraquark states
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Tables of SU(3) Isoscalar Factors
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The Octet Model and its Clebsch-Gordan Coefficients
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The Chroma Software System for Lattice QCD
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Why static bound-state calculations of tetraquarks should be met with scepticism
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Novel quark-field creation operator construction for hadronic physics in lattice QCD
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First results from $2 + 1$ dynamical quark flavors on an anisotropic lattice: Light-hadron spectroscopy and setting the strange-quark mass
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Isoscalar ππ Scattering and the σ Meson Resonance from QCD
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QCD and Strongly Coupled Gauge Theories: Challenges and Perspectives
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Utilising optimised operators and distillation to extract scattering phase shifts
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Solving Lattice QCD systems of equations using mixed precision solvers on GPUs
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Production of doubly charmed tetraquarks with exotic color configurations in electron-positron collisions
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Lattice QCD signal for a bottom-bottom tetraquark
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Excited spectroscopy of charmed mesons from lattice QCD
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The hidden-charm pentaquark and tetraquark states
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Heavy-Quark QCD Exotica
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Multiquark Resonances
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Utilising optimised operators and distillation to extract scattering phase shifts
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The Chroma Software System for Lattice QCD
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Production and detection of doubly charmed tetraquarks
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Study of doubly heavy tetraquarks in lattice QCD
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Tetraquark interpolating fields in a lattice QCD investigation of the $D_{s 0}^{*} (2317)$ meson
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Three-particle systems with resonant subprocesses in a finite volume
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Doubly-heavy tetraquarks
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