Charmonium potential from full lattice QCD

Abstract

We present both spin-independent and -dependent parts of a central interquark potential for charmonium states, which is calculated in 2+1 flavor dynamical lattice QCD using the PACS-CS gauge configurations with a lattice cutoff of a^{-1}~2.2 GeV. Our simulations are performed with a relativistic heavy quark action for the charm quark at the lightest pion mass, M_π=156(7) MeV, in a spatial volume of 3fm^3. We observe that the spin-independent charmonium potential obtained from lattice QCD with almost physical quark masses is quite similar to the Conrnell potential used in non-relativistic potential models. The spin-spin potential properly exhibits the short range repulsive interaction, while its r-dependence is different from either a point-like spin-spin potential generated by one-gluon exchange or a phenomenological finite-range one adopted in quark potential models.

5 pages, 3 figures

References in corpus (6)

• Nuclear Force from Lattice QCD
• Charmonium
• The Exotic XYZ Charmonium-like Mesons
• Spin-dependent potentials from lattice QCD
• Charm quark system at the physical point of 2+1 flavor lattice QCD
• Interquark potential with finite quark mass from lattice QCD

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