Charmonium-nucleon potential from lattice QCD

Journal Article · Mon Nov 01 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.091501· OSTI ID:21503758

Kawanai, Taichi; Sasaki, Shoichi ^[1]

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1. Department of Physics, University of Tokyo, Hongo 7-3-1, Tokyo 113-0033 (Japan)

We present results for the charmonium-nucleon potential V{sub cc-N}(r) from quenched lattice QCD, which is calculated from the equal-time Bethe-Salpeter amplitude through the effective Schroedinger equation. Detailed information of the low-energy interaction between the nucleon and charmonia ({eta}{sub 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_equal}2.1 GeV in a spatial volume of (3 fm){sup 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{sub cc-N}(r) for either the {eta}{sub c} or 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}{sub c}-N case.

• OSTI ID: 21503758
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 82; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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