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Title: Excited and exotic charmonium spectroscopy from lattice QCD

Abstract

We present a spectrum of highly excited charmonium mesons up to around 4.5 GeV calculated using dynamical lattice QCD. Employing novel computational techniques and the variational method with a large basis of carefully constructed operators, we extract and reliably identify the continuum spin of an extensive set of excited states, states with exotic quantum numbers (0+-, 1-+, 2+-) and states with high spin. Calculations are performed on two lattice volumes with pion mass ? 400 MeV and the mass determinations have high statistical precision even for excited states. We discuss the results in light of experimental observations, identify the lightest 'supermultiplet' of hybrid mesons and comment on the phenomenological implications of the spectrum of exotic mesons.

Authors:
 [1];  [1];  [1];  [1];  [1];  [1];  [2];  [3];  [3];  [3]
  1. Trinity College, Dublin (Ireland)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)
  3. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (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.:
Hadron Spectrum collaboration
OSTI Identifier:
1048927
Report Number(s):
JLAB-THY-12-1510; DOE/OR/-23177-2077; TCDMATH-12-04
Journal ID: ISSN 1029-8479; TRN: US1204338
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: 2012; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACCURACY; CHARMONIUM; EXCITED STATES; MESONS; PIONS; QUANTUM CHROMODYNAMICS; QUANTUM NUMBERS; SPECTROSCOPY; SPIN; VARIATIONAL METHODS

Citation Formats

Liu, Liuming, Moir, Graham, Peardon, Michael, Ryan, Sinéad M., Thomas, Christopher E., Vilaseca, Pol, Dudek, Jozef J., Edwards, Robert G., Joó, Bálint, and Richards, David G. Excited and exotic charmonium spectroscopy from lattice QCD. United States: N. p., 2012. Web. doi:10.1007/JHEP07(2012)126.
Liu, Liuming, Moir, Graham, Peardon, Michael, Ryan, Sinéad M., Thomas, Christopher E., Vilaseca, Pol, Dudek, Jozef J., Edwards, Robert G., Joó, Bálint, & Richards, David G. Excited and exotic charmonium spectroscopy from lattice QCD. United States. doi:10.1007/JHEP07(2012)126.
Liu, Liuming, Moir, Graham, Peardon, Michael, Ryan, Sinéad M., Thomas, Christopher E., Vilaseca, Pol, Dudek, Jozef J., Edwards, Robert G., Joó, Bálint, and Richards, David G. Fri . "Excited and exotic charmonium spectroscopy from lattice QCD". United States. doi:10.1007/JHEP07(2012)126. https://www.osti.gov/servlets/purl/1048927.
@article{osti_1048927,
title = {Excited and exotic charmonium spectroscopy from lattice QCD},
author = {Liu, Liuming and Moir, Graham and Peardon, Michael and Ryan, Sinéad M. and Thomas, Christopher E. and Vilaseca, Pol and Dudek, Jozef J. and Edwards, Robert G. and Joó, Bálint and Richards, David G.},
abstractNote = {We present a spectrum of highly excited charmonium mesons up to around 4.5 GeV calculated using dynamical lattice QCD. Employing novel computational techniques and the variational method with a large basis of carefully constructed operators, we extract and reliably identify the continuum spin of an extensive set of excited states, states with exotic quantum numbers (0+-, 1-+, 2+-) and states with high spin. Calculations are performed on two lattice volumes with pion mass ? 400 MeV and the mass determinations have high statistical precision even for excited states. We discuss the results in light of experimental observations, identify the lightest 'supermultiplet' of hybrid mesons and comment on the phenomenological implications of the spectrum of exotic mesons.},
doi = {10.1007/JHEP07(2012)126},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2012,
place = {United States},
year = {2012},
month = {7}
}

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Free Publicly Available Full Text
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Cited by: 84 works
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Figures / Tables:

Table 1 Table 1: The gauge-field ensembles used in this work. $N$cfgs and $N$tsrcs are respectively the number of gauge-field configurations and time-sources per configuration used; $N$vecs refers to the number of eigenvectors used in the distillation method.

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Works referenced in this record:

Resonance scattering phase shifts on a non-rest-frame lattice
journal, September 1995


Gluonic charmonium resonances at BaBar and Belle?
journal, November 2005


Signatures of unstable particles in finite volume
journal, October 1991


Heavy quarkonium: progress, puzzles, and opportunities
journal, February 2011


Highly Excited and Exotic Meson Spectrum from Dynamical Lattice QCD
journal, December 2009


Adjoint sources in lattice gauge theory
journal, September 1985


Solving lattice QCD systems of equations using mixed precision solvers on GPUs
journal, September 2010


Review of Particle Physics
journal, July 2010


Suppressed decay into open charm for the <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"><mml:mi>Y</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>4260</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> being an hybrid
journal, December 2005


Observation of the h c ( 1 P ) Using e + e Collisions above the D D ¯ Threshold
journal, July 2011


Non-perturbative O(a) improvement of lattice QCD
journal, April 1997


Finite-volume effects for two-hadron states in moving frames
journal, October 2005


How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation
journal, July 1990


QG hybrid mesons in the MIT bag model
journal, September 1983


Parallelizing the QUDA Library for Multi-GPU Calculations in Lattice Quantum Chromodynamics
conference, November 2010

  • Babich, Ronald; Clark, Michael A.; Joó, Balint
  • 2010 SC - International Conference for High Performance Computing, Networking, Storage and Analysis, 2010 ACM/IEEE International Conference for High Performance Computing, Networking, Storage and Analysis
  • DOI: 10.1109/SC.2010.40

Hybrids: Mixed states of quarks and gluons
journal, August 1983


The Chroma Software System for Lattice QCD
journal, March 2005


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    Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
    journal, June 2013

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    • International Journal of Modern Physics E, Vol. 22, Issue 06
    • DOI: 10.1142/s0218301313300154

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    • DOI: 10.1142/s0218301313300154

    Spectroscopy of triply charmed baryons from lattice QCD
    journal, October 2014


    Constituent-quark model description of triply heavy baryon nonperturbative lattice QCD data
    journal, March 2015


    Excited spectroscopy of charmed mesons from lattice QCD
    journal, May 2013

    • Moir, Graham; Peardon, Michael; Ryan, Sinéad M.
    • Journal of High Energy Physics, Vol. 2013, Issue 5
    • DOI: 10.1007/jhep05(2013)021

    Analytic properties of the quark propagator from an effective infrared interaction model
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    Where is the χ c 0 ( 2 P ) ?
    journal, November 2012


    Precision tests of the J / ψ from full lattice QCD: Mass, leptonic width, and radiative decay rate to η c
    journal, November 2012


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    journal, February 2013


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    Scattering in the π N negative parity channel in lattice QCD
    journal, March 2013


    Toward the excited isoscalar meson spectrum from lattice QCD
    journal, November 2013


    Born-Oppenheimer approximation for the X Y Z mesons
    journal, July 2014


    Decay constants of the pion and its excitations on the lattice
    journal, July 2014


    Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach
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    journal, March 2015


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    journal, March 2015


    X ( 3872 ) and Y ( 4140 ) using diquark-antidiquark operators with lattice QCD
    journal, August 2015


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    journal, August 2015


    Masses of D mesons, D s mesons, and charmonium states from twisted-mass lattice QCD
    journal, November 2015


    Quarkonium hybrids with nonrelativistic effective field theories
    journal, December 2015

    • Berwein, Matthias; Brambilla, Nora; Tarrús Castellà, Jaume
    • Physical Review D, Vol. 92, Issue 11
    • DOI: 10.1103/physrevd.92.114019

    Strong Z c + ( 3900 ) J / ψ π + ; η c ρ + decays in QCD
    journal, April 2016


    Bottomonium spectrum revisited
    journal, April 2016


    An a 0 resonance in strongly coupled π η , K K ¯ scattering from lattice QCD
    journal, May 2016


    Production of Y ( 4260 ) as a hadronic molecule state of D ¯ D 1 + c . c . in e + e annihilations
    journal, September 2016


    Canonical description of the new LHCb resonances
    journal, December 2016


    Charmonium spectrum and electromagnetic transitions with higher multipole contributions
    journal, February 2017


    Bayesian study of relativistic open and hidden charm in anisotropic lattice QCD
    journal, June 2018


    Spin structure of heavy-quark hybrids
    journal, January 2019


    How the Z c ( 3900 ) Reveals the Spectra of Charmonium Hybrids and Tetraquarks
    journal, October 2013


    Static Quark-Antiquark Potential in the Quark-Gluon Plasma from Lattice QCD
    journal, February 2015


    Precise Measurement of the e + e π + π J / ψ Cross Section at Center-of-Mass Energies from 3.77 to 4.60 GeV
    journal, March 2017


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    journal, March 2017


    Quantum Numbers of Recently Discovered Ω c 0 Baryons from Lattice QCD
    journal, July 2017


    Hadronic molecules
    journal, February 2018


    Scattering processes and resonances from lattice QCD
    journal, April 2018


    Review of lattice results concerning low-energy particle physics
    journal, September 2014


    Decay widths of the spin-2 partners of the X(3872)
    journal, November 2015


    A New Hadron Spectroscopy
    conference, September 2015

    • Olsen, Stephan Lars
    • Proceedings of 53rd International Winter Meeting on Nuclear Physics — PoS(Bormio2015)
    • DOI: 10.22323/1.238.0050