Vector and scalar charmonium resonances with lattice QCD

Lang, C. B.; Leskovec, Luka; Mohler, Daniel; Prelovsek, Sasa

doi:10.1007/JHEP09(2015)089

Title: Vector and scalar charmonium resonances with lattice QCD

Abstract

We perform an exploratory lattice QCD simulation of DD¯ scattering, aimed at determining the masses as well as the decay widths of charmonium resonances above open charm threshold. Neglecting coupling to other channels, the resulting phase shift for DD¯ scattering in p-wave yields the well-known vector resonance ψ(3770). For m_π = 156 MeV, the extracted resonance mass and the decay width agree with experiment within large statistical uncertainty. The scalar charmonium resonances present a puzzle, since only the ground state _{Χ_c0}(1P) is well understood, while there is no commonly accepted candidate for its first excitation. We simulate DD¯ scattering in s-wave in order to shed light on this puzzle. The resulting phase shift supports the existence of a yet-unobserved narrow resonance with a mass slightly below 4 GeV. A scenario with this narrow resonance and a pole at _{Χ_c0}(1P) agrees with the energy-dependence of our phase shift. In addition, further lattice QCD simulations and experimental efforts are needed to resolve the puzzle of the excited scalar charmonia.

Authors:

Lang, C. B. ^[1]; Leskovec, Luka ^[2]; Mohler, Daniel ^[3]; Prelovsek, Sasa ^[4]

Univ. of Graz, Graz (Austria)
Jozef Stefan Inst. (IJS), Ljubljana (Slovenia)
Univ. of Ljubljana, Ljubljana (Slovenia)
Jozef Stefan Inst. (IJS), Ljubljana (Slovenia); Univ. of Ljubljana, Ljubljana (Slovenia); Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

Publication Date:: Tue Sep 15 00:00:00 EDT 2015

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

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

OSTI Identifier:: 1222707

Alternate Identifier(s):: OSTI ID: 1223213

Report Number(s):: JLAB-THY-15-2022; DOE/OR/23177-3322; arXiv:1503.05363; FERMILAB-PUB-15-084-T
Journal ID: ISSN 1029-8479; PII: 2091; TRN: US1500751

Grant/Contract Number:: AC02-07CG11359; AC05-06OR23177; AC02-07CH11359; AC02-76CHO03000

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: 2015; Journal Issue: 9; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; decay width; charmonium; scattering; lattice QCD; heavy quark physics

Citation Formats


                    Lang, C. B., Leskovec, Luka, Mohler, Daniel, and Prelovsek, Sasa. Vector and scalar charmonium resonances with lattice QCD.  United States: N. p., 2015. 
Web.  doi:10.1007/JHEP09(2015)089.

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                    Lang, C. B., Leskovec, Luka, Mohler, Daniel, & Prelovsek, Sasa. Vector and scalar charmonium resonances with lattice QCD.  United States.  https://doi.org/10.1007/JHEP09(2015)089

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                    Lang, C. B., Leskovec, Luka, Mohler, Daniel, and Prelovsek, Sasa. Tue .  
"Vector and scalar charmonium resonances with lattice QCD".  United States.  https://doi.org/10.1007/JHEP09(2015)089.  https://www.osti.gov/servlets/purl/1222707.

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@article{osti_1222707,

  title        = {Vector and scalar charmonium resonances with lattice QCD},

  author       = {Lang, C. B. and Leskovec, Luka and Mohler, Daniel and Prelovsek, Sasa},

  abstractNote = {We perform an exploratory lattice QCD simulation of DD¯ scattering, aimed at determining the masses as well as the decay widths of charmonium resonances above open charm threshold. Neglecting coupling to other channels, the resulting phase shift for DD¯ scattering in p-wave yields the well-known vector resonance ψ(3770). For mπ = 156 MeV, the extracted resonance mass and the decay width agree with experiment within large statistical uncertainty. The scalar charmonium resonances present a puzzle, since only the ground state Χc0(1P) is well understood, while there is no commonly accepted candidate for its first excitation. We simulate DD¯ scattering in s-wave in order to shed light on this puzzle. The resulting phase shift supports the existence of a yet-unobserved narrow resonance with a mass slightly below 4 GeV. A scenario with this narrow resonance and a pole at Χc0(1P) agrees with the energy-dependence of our phase shift. In addition, further lattice QCD simulations and experimental efforts are needed to resolve the puzzle of the excited scalar charmonia.},

  doi          = {10.1007/JHEP09(2015)089},

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

  number       = 9,

  volume       = 2015,

  place        = {United States},

  year         = {Tue Sep 15 00:00:00 EDT 2015},

  month        = {Tue Sep 15 00:00:00 EDT 2015}

}

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Works referenced in this record:

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Title: Vector and scalar charmonium resonances with lattice QCD

Abstract

Citation Formats

Lattice QCD estimate of the η c (2S) → J/ψγ decay rate journal, May 2015

QCD and strongly coupled gauge theories: challenges and perspectives journal, October 2014

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

Energy dependence of the ρ resonance in π π elastic scattering from lattice QCD journal, February 2013

Review of Particle Physics journal, August 2014

ψ″ Decays to charmless final states journal, September 2005

Quarkonia and their transitions journal, September 2008

Measurement of σ ( e + e − → ψ ( 3770 ) → hadrons ) at E c . m . = 3773 MeV journal, March 2006

Charmonium mass splittings at the physical point conference, December 2012

Study of X ( 3915 ) → J / ψ ω in two-photon collisions journal, October 2012

Could the X ( 3915 ) and the X ( 3930 ) Be the Same Tensor State? journal, July 2015

Observation of the χ c 2 ( 2 P ) meson in the reaction γ γ → D D ¯ at BABAR journal, May 2010

Observation of a χ c 2 ′ Candidate in γ γ → D D ¯ Production at Belle journal, March 2006

Production of New Charmoniumlike States in e + e − → J / ψ D ( * ) D ¯ ( * ) at s ≈ 10.6 GeV journal, May 2008

2 + 1 flavor lattice QCD toward the physical point journal, February 2009

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Adjoint sources in lattice gauge theory journal, September 1985

Volume dependence of the energy spectrum in massive quantum field theories: I. Stable particle states journal, June 1986

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

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

Signatures of unstable particles in finite volume journal, October 1991

Exclusive initial-state-radiation production of the D D ¯ , D * D ¯ , and D * D ¯ * systems journal, May 2009

Hadron structure and spectrum from the lattice conference, January 2016

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Lattice QCD estimate of the η c (2S) → J/ψγ decay rate
journal, May 2015

QCD and strongly coupled gauge theories: challenges and perspectives
journal, October 2014

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

Energy dependence of the $ρ$ resonance in $π π$ elastic scattering from lattice QCD
journal, February 2013

Review of Particle Physics
journal, August 2014

ψ″ Decays to charmless final states
journal, September 2005

Quarkonia and their transitions
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Measurement of $σ (e^{+} e^{-} \to ψ (3770) \to hadrons)$ at $E_{c . m .} = 3773 MeV$
journal, March 2006

Charmonium mass splittings at the physical point
conference, December 2012

Study of $X (3915) \to J / ψ ω$ in two-photon collisions
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Could the $X (3915)$ and the $X (3930)$ Be the Same Tensor State?
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journal, May 2010

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journal, March 2006

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Adjoint sources in lattice gauge theory
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Volume dependence of the energy spectrum in massive quantum field theories: I. Stable particle states
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How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation
journal, July 1990

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

Signatures of unstable particles in finite volume
journal, October 1991

Exclusive initial-state-radiation production of the $D \bar{D}$ , $D^{} \bar{D}$ , and $D^{} {\bar{D}}^{*}$ systems
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journal, November 2016

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