Splittings of low-lying charmonium masses at the physical point

DeTar, Carleton; Kronfeld, Andreas S.; Lee, Song-haeng; Mohler, Daniel; Simone, James N.

doi:10.1103/PhysRevD.99.034509

Title: Splittings of low-lying charmonium masses at the physical point

Abstract

We present high-precision results from lattice QCD for the mass splittings of the low-lying charmonium states. For the valence charm quark, the calculation uses Wilson-clover quarks in the Fermilab interpretation. The gauge-field ensembles are generated in the presence of up, down, and strange sea quarks, based on the improved staggered (asqtad) action, and gluon fields, based on the one-loop, tadpole-improved gauge action. We use five lattice spacings and two values of the light sea quark mass to extrapolate the results to the physical point. An enlarged set of interpolating operators is used for a variational analysis to improve the determination of the energies of the ground states in each channel. We present and implement a continuum extrapolation within the Fermilab interpretation, based on power-counting arguments, and thoroughly discuss all sources of systematic uncertainty. We compare our results for various mass splittings with their experimental values, namely, the 1S hyperfine splitting, the 1P-1S splitting and the P-wave spin-orbit and tensor splittings. As a result, given the uncertainty related to the width of the resonances, we find excellent agreement.

Authors:: DeTar, Carleton; Kronfeld, Andreas S.; Lee, Song-haeng; Mohler, Daniel; Simone, James N.; Fermilab Lattice and MILC Collaborations

Publication Date:: 2019-02-27

Research Org.:: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

Contributing Org.:: Fermilab Lattice and MILC Collaborations

OSTI Identifier:: 1496901

Alternate Identifier(s):: OSTI ID: 1497721

Report Number(s):: arXiv:1810.09983; FERMILAB-PUB-18-440-T; MITP/18-097
Journal ID: ISSN 2470-0010; PRVDAQ; 034509

Grant/Contract Number:: FC02-12ER41879; AC02-07CH11359

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 3; 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


                    DeTar, Carleton, Kronfeld, Andreas S., Lee, Song-haeng, Mohler, Daniel, Simone, James N., and Fermilab Lattice and MILC Collaborations. Splittings of low-lying charmonium masses at the physical point.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.99.034509.

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                    DeTar, Carleton, Kronfeld, Andreas S., Lee, Song-haeng, Mohler, Daniel, Simone, James N., & Fermilab Lattice and MILC Collaborations. Splittings of low-lying charmonium masses at the physical point.  United States.  https://doi.org/10.1103/PhysRevD.99.034509

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                    DeTar, Carleton, Kronfeld, Andreas S., Lee, Song-haeng, Mohler, Daniel, Simone, James N., and Fermilab Lattice and MILC Collaborations. Wed .  
"Splittings of low-lying charmonium masses at the physical point".  United States.  https://doi.org/10.1103/PhysRevD.99.034509.

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@article{osti_1496901,

  title        = {Splittings of low-lying charmonium masses at the physical point},

  author       = {DeTar, Carleton and Kronfeld, Andreas S. and Lee, Song-haeng and Mohler, Daniel and Simone, James N. and Fermilab Lattice and MILC Collaborations},

  abstractNote = {We present high-precision results from lattice QCD for the mass splittings of the low-lying charmonium states. For the valence charm quark, the calculation uses Wilson-clover quarks in the Fermilab interpretation. The gauge-field ensembles are generated in the presence of up, down, and strange sea quarks, based on the improved staggered (asqtad) action, and gluon fields, based on the one-loop, tadpole-improved gauge action. We use five lattice spacings and two values of the light sea quark mass to extrapolate the results to the physical point. An enlarged set of interpolating operators is used for a variational analysis to improve the determination of the energies of the ground states in each channel. We present and implement a continuum extrapolation within the Fermilab interpretation, based on power-counting arguments, and thoroughly discuss all sources of systematic uncertainty. We compare our results for various mass splittings with their experimental values, namely, the 1S hyperfine splitting, the 1P-1S splitting and the P-wave spin-orbit and tensor splittings. As a result, given the uncertainty related to the width of the resonances, we find excellent agreement.},

  doi          = {10.1103/PhysRevD.99.034509},

  journal      = {Physical Review D},

  number       = 3,

  volume       = 99,

  place        = {United States},

  year         = {2019},

  month        = {2}

}

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Title: Splittings of low-lying charmonium masses at the physical point

Abstract

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journal, March 2007

Vector and scalar charmonium resonances with lattice QCD
journal, September 2015

Precise heavy-light meson masses and hyperfine splittings from lattice QCD including charm quarks in the sea
journal, November 2012

Evidence for $X (3872)$ from $D D^{*}$ Scattering on the Lattice
journal, November 2013

Excited and exotic charmonium spectroscopy from lattice QCD
journal, July 2012

Scattering processes and resonances from lattice QCD
journal, April 2018

Study of the $Z_{c}^{+}$ channel using lattice QCD
journal, January 2015

On the generalized eigenvalue method for energies and matrix elements in lattice field theory
journal, April 2009

Charm and strange quark masses and $f_{D_{s}}$ from overlap fermions
journal, August 2015

Massive fermions in lattice gauge theory
journal, April 1997

Derivative sources in lattice spectroscopy of excited light-quark mesons
journal, August 2008

Signatures of unstable particles in finite volume
journal, October 1991

$D π$ scattering and $D$ meson resonances from lattice QCD
journal, February 2013

Improved methods for computing masses from numerical simulations
journal, September 1990

The tetraquark candidate ${Z}_{{c}}(3900)$ from dynamical lattice QCD simulations
journal, January 2018

Fate of the Tetraquark Candidate $Z_{c} (3900)$ from Lattice QCD
journal, December 2016

Two-particle states on a torus and their relation to the scattering matrix
journal, May 1991

Charmonium spectroscopy and mixing with light quark and open charm states from $n_{F} = 2$ lattice QCD
journal, November 2011

Adjoint sources in lattice gauge theory
journal, September 1985

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

Charmed-baryon spectroscopy from lattice QCD with $N_{f} = 2 + 1 + 1$ flavors
journal, November 2012

From deep inelastic scattering to heavy-flavor semileptonic decays: Total rates into multihadron final states from lattice QCD
journal, November 2017

Application of heavy-quark effective theory to lattice QCD: Power corrections
journal, June 2000

Quarkonium mass splittings in three-flavor lattice QCD
journal, February 2010

Viability of lattice perturbation theory
journal, September 1993

Precise Predictions of Charmed-Bottom Hadrons from Lattice QCD
journal, November 2018

Spin-dependent forces in quantum chromodynamics
journal, June 1981

Glueball masses and string tension in lattice QCD
journal, June 1987