Study of charmonium-nucleon interaction in lattice QCD

TL;DR

This study investigates the interaction between charmonium and nucleons using lattice QCD, revealing a weak attraction at short range and screening at longer distances, contributing to understanding of quarkonium-nucleon forces.

Contribution

First lattice QCD calculation of charmonium-nucleon potential using Bethe-Salpeter amplitudes and Schrödinger equation, providing insights into their interaction.

Findings

Potential is weakly attractive at short distances.

Interaction is exponentially screened at long distances.

Results enhance understanding of quarkonium-nucleon interactions.

Abstract

We report preliminary 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. Our simulations are performed at a lattice cutoff of $1/a$=2.0 GeV in a spatial volume of $(3\;\text{fm})^3$ 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 $V_{c\bar{c} N}(r)$ is weakly attractive at short distance and exponentially screened at long distance.