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Charmonium-nucleon potential from lattice QCD
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abstract
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. The spin averaged $J/\psi$-$N$ potential is slightly more attractive than that of the $\eta_c$-$N$ case.
Forward citations
Cited by 2 Pith papers
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Low-energy scattering of the $J/\psi \pi$ and $J/\psi K$ system
First dispersive upper-bound estimates for J/ψπ and J/ψK scattering lengths, with soft-gluon exchange dominating the coupled-channel mechanism.
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Heavy-heavy and heavy-light mesons in cold nuclear matter
Using the quark-meson coupling model and effective Lagrangians, heavy and heavy-light mesons are predicted to feel attractive potentials in nuclei and form bound states, including new B_c-nucleus states.
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