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arXiv · 1803.05412

Effective field theory for the nucleon-quarkonium interaction

Jaume Tarrús Castellà·Gastão Krein
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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.

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Jaume Tarrús Castellà, Gastão Krein. 2018-03-14. Effective field theory for the nucleon-quarkonium interaction. https://doi.org/10.1103/physrevd.98.014029

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