Potential description of the charmonium from lattice QCD

Taichi Kawanai, Shoichi Sasaki

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)


We present spin-independent and spin-spin interquark potentials for charmonium states, that are calculated using a relativistic heavy quark action for charm quarks on the PACS-CS gauge configurations generated with the Iwasaki gauge action and 2+1 flavors of Wilson clover quark. The interquark potential with finite quark masses is defined through the equal-time Bethe-Salpeter amplitude. The light and strange quark masses are close to the physical point where the pion mass corresponds to Mπ ≈ 156(7) MeV, and charm quark mass is tuned to reproduce the experimental values of ηc and J/ψ states. Our simulations are performed with a lattice cutoff of a-1 ≈ 2.2 GeV and a spatial volume of (3 fm)3.We solve the nonrelativistic Schrödinger equation with resulting charmonium potentials as theoretical inputs. The resultant charmonium spectrum below the open charm threshold shows a fairly good agreement with experimental data of well-established charmonium states.

Original languageEnglish
Title of host publicationXIth Conference on Quark Confinement and Hadron Spectrum
EditorsNora Brambilla, Sergei Kolevatov, Alexander Andrianov, Victor Kim
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735413481
Publication statusPublished - 2016 Jan 22
Event11th Conference on Quark Confinement and Hadron Spectrum - Saint Petersburg, Russian Federation
Duration: 2014 Sep 82014 Sep 12

Publication series

NameAIP Conference Proceedings
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616


Other11th Conference on Quark Confinement and Hadron Spectrum
Country/TerritoryRussian Federation
CitySaint Petersburg


  • Lattice QCD calculations
  • Lattice gauge theory
  • Quantum chromodynamics

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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