Potential description of the charmonium from lattice QCD

Kawanai, Taichi; Sasaki, Shoichi

doi:10.1063/1.4938662

Contribution to a conference proceedings

FZJ-2017-00837

Potential description of the charmonium from lattice QCD

Kawanai, T. (Corresponding author)FZJ* ; Sasaki, S.

2016

XITH CONFERENCE ON QUARK CONFINEMENT AND HADRON SPECTRUM, Saint Petersburg, Russia, 8 Dec 2014 - 12 Dec 2014 050022 pp. (2016) [10.1063/1.4938662]

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Please use a persistent id in citations: doi:10.1063/1.4938662

Abstract: 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.

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