Interquark potential for the charmonium system with almost physical quark masses

Taichi Kawanai, Shoichi Sasaki

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


We study an interquark QQ̄ potential for the charmonium system, that is determined from the equal-time and Coulomb gauge Q̄Q BetheSalpeter (BS) wavefunction through the effective Schrdinger equation. This novel approach enables us to evaluate a kinetic heavy quark mass m̄Q and a proper interquark potential at finite quark mass m̄Q, which receives all orders of 1m̄Q corrections on the static QQ̄ potential from Wilson loops, simultaneously. Precise information of the interquark potential for both charmonium and bottomonium states directly from lattice QCD provides us a chance to improve quark potential models, where the spin-independent interquark potential is phenomenologically described by the Cornell potential and the spin-dependent parts are deduced within the framework of perturbative QCD, from first-principles calculations. In this study, calculations are carried out in both quenched and dynamical fermion simulations. We first demonstrate that the interquark potential at finite quark mass calculated by the BS amplitude method smoothly approaches the conventional static heavy quark potential from Wilson loops in the infinitely heavy quark limit within quenched lattice QCD simulations. Second, we determine both spin-independent and dependent parts of the interquark potential for the charmonium system in 2+1 flavor dynamical lattice QCD using the PACS-CS gauge configurations at the lightest pion mass, M π=156 MeV.

Original languageEnglish
Pages (from-to)130-135
Number of pages6
JournalProgress in Particle and Nuclear Physics
Issue number2
Publication statusPublished - 2012 Apr


  • Bethe-Salpeter wave function
  • Charmonium
  • Interquark potential
  • Lattice QCD
  • Quantum chromodynamics


Dive into the research topics of 'Interquark potential for the charmonium system with almost physical quark masses'. Together they form a unique fingerprint.

Cite this