We present both spin-independent and spin-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 2.2GeV. 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 Cornell potential used in nonrelativistic potential models. The spin-spin potential, which is calculated in full lattice QCD for the first time, properly exhibits a finite-range repulsive interaction. Its r-dependence is different from the Fermi-Breit type potential, which is widely adopted in quark potential models.
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|Publication status||Published - 2012 May 30|
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)