Built on

Fermilab Lattice Collaboration, MILC Collaboration
Original
1937
Earlier work this paper cites.
C. Michael, Adjoint Sources in Lattice Gauge Theory
1985
Earlier work this paper cites.
M. Lüscher, Volume dependence of the energy spectrum in massive quantum field theories. I. Stable particle states
1986
Earlier work this paper cites.
M. Lüscher and U. Wolff, How to calculate the Elastic Scattering Matrix in 2-Dimensional QuantumField Theories by Numerical Simulation
1990
Earlier work this paper cites.
M. Lüscher, Two-Particle States on a Torus and Their Relation to the ScatteringMatrix
1991
Earlier work this paper cites.
M. Lüscher, Signatures of unstable particles in finite volume
1991
Earlier work this paper cites.
A. X. El-Khadra, A. S. Kronfeld, and P. B. Mackenzie, Massive Fermions in Lattice Gauge Theory
1997
Earlier work this paper cites.
A. S. Kronfeld, Application of heavy quark effective theory to lattice QCD. 1. Power corrections
2000
Earlier work this paper cites.
J. L. Rosner, Charmless final states and S-D wave mixing in the Ψ ′′ \Psi^{{}^{\prime\prime}}
2001
Earlier work this paper cites.
P. Wang, C. Yuan, and X. Mo, Possible large branching fraction of psi-prime-prime decays to charmless final states
2004
Earlier work this paper cites.
J. L. Rosner, Ψ ′′ \Psi^{{}^{\prime\prime}} decays to charmless final states
2005
Earlier work this paper cites.
E. Eichten, S. Godfrey, H. Mahlke, and J. L. Rosner, Quarkonia and their transitions
2008
Earlier work this paper cites.
A. Hasenfratz, R. Hoffmann, and S. Schaefer, Reweighting towards the chiral limit
Original
2008
Earlier work this paper cites.

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2015

Vector and scalar charmonium resonances with lattice QCD

Lang, C. B., Leskovec, Luka, Mohler, Daniel et al.

Understand

We perform an exploratory lattice QCD simulation of $D \bar D$ 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 $D \bar D$ scattering in p-wave yields the well-known vector resonance $\psi(3770)$.
For $m_\pi = 156$ 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 $\chi_{c0}(1P)$ is well understood, while there is no commonly accepted candidate for its first excitation.

Built on

Fermilab Lattice Collaboration, MILC Collaboration
Original
1937
Earlier work this paper cites.
C. Michael, Adjoint Sources in Lattice Gauge Theory
1985
Earlier work this paper cites.
M. Lüscher, Volume dependence of the energy spectrum in massive quantum field theories. I. Stable particle states
1986
Earlier work this paper cites.
M. Lüscher and U. Wolff, How to calculate the Elastic Scattering Matrix in 2-Dimensional QuantumField Theories by Numerical Simulation
1990
Earlier work this paper cites.
M. Lüscher, Two-Particle States on a Torus and Their Relation to the ScatteringMatrix
1991
Earlier work this paper cites.
M. Lüscher, Signatures of unstable particles in finite volume
1991
Earlier work this paper cites.
A. X. El-Khadra, A. S. Kronfeld, and P. B. Mackenzie, Massive Fermions in Lattice Gauge Theory
1997
Earlier work this paper cites.
A. S. Kronfeld, Application of heavy quark effective theory to lattice QCD. 1. Power corrections
2000
Earlier work this paper cites.
J. L. Rosner, Charmless final states and S-D wave mixing in the Ψ ′′ \Psi^{{}^{\prime\prime}}
2001
Earlier work this paper cites.
P. Wang, C. Yuan, and X. Mo, Possible large branching fraction of psi-prime-prime decays to charmless final states
2004
Earlier work this paper cites.
J. L. Rosner, Ψ ′′ \Psi^{{}^{\prime\prime}} decays to charmless final states
2005
Earlier work this paper cites.
E. Eichten, S. Godfrey, H. Mahlke, and J. L. Rosner, Quarkonia and their transitions
2008
Earlier work this paper cites.
A. Hasenfratz, R. Hoffmann, and S. Schaefer, Reweighting towards the chiral limit
Original
2008
Earlier work this paper cites.