Effective field theory for the nucleon-quarkonium interaction

TL;DR

This paper develops an effective field theory for quarkonium-nucleon interactions, calculating potentials and scattering parameters with light-quark mass dependence, and compares results with lattice QCD to estimate contact terms and chromopolarizabilities.

Contribution

It introduces a systematic EFT framework for quarkonium-nucleon interactions, including full light-quark mass dependence and comparison with lattice QCD data.

Findings

Computed quarkonium-nucleon potential, scattering length, and effective range.

Estimated leading order contact term for quarkonium-nucleon interaction.

Determined chromopolarizabilities of $J/\psi$ and $\eta_c$.

Abstract

We develop an effective field theory approach for the $S$-wave quarkonium-nucleon system. We adopt a natural power counting equivalent to Weinberg's power counting in nucleon-nucleon effective field theories and compute the quarkonium-nucleon potential, scattering length and effective range up to $\mathcal{O}(m^3_{\pi}/\Lambda^3_{\chi})$ accuracy, including the full light-quark mass dependence. We compare our results with lattice QCD studies of quarkonium-nucleon system, obtain an estimation of the leading order quarkonium-nucleon contact term and determine the $J/\psi$ and $\eta_c$ chromopolarizabilities.