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2010

Charmonium-nucleon potential from lattice QCD

Kawanai, Taichi, Sasaki, Shoichi

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We present results for charmonium-nucleon potential $V_{c\bar{c}-N}(r)$ from quenched lattice QCD, which is calculated from the equal-time Bethe-Salpeter amplitude through the effective Schr\"odinger equation.

Detail information of the low-energy interaction between the nucleon and charmonia ($\eta_c$ and $J/\psi$) is indispensable for exploring the formation of charmonium bound to nuclei.
Our simulations are performed at a lattice cutoff of $1/a\approx 2.1$ GeV in a spatial volume of $(3 fm)^3$ with the nonperturbatively $O(a)$ improved Wilson action for the light quarks and a relativistic heavy quark action for the charm quark.
We have found that the potential $V_{c\bar{c}-N}(r)$ for either the $\eta_c$ and $J/\psi$ states is weakly attractive at short distances and exponentially screened at large distances.

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