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arXiv · 2509.04365

Nonrelativistic meson masses from the Curci-Ferrari model

Anaclara Alvez·Nahuel Barrios·Florencia Benítez·Marcela Peláez
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Abstract

We study the mass spectrum of nonrelativistic mesons composed of charm and bottom quarks within the framework of the Curci-Ferrari model in the Landau gauge, focusing on the influence of the gluon mass on our results. We derive the Hamiltonian from the scattering amplitude of a single massive gluon exchange. By incorporating a confining Cornell potential we solve the Schr\"odinger equation for the dominant terms of the Hamiltonian, which include the kinetic energy and a Yukawa-type potential. Corrections to the energy are then introduced perturbatively. By studying the parameter space of the model we fit the experimental mass spectrum of charmonium, bottomonium and charm-bottom mesons. From the five parameters of our approach, we allow the gluon mass and the gauge coupling to run with the energy scale according to the ultraviolet one-loop renormalization flows, computed in [1]. Our results show very good agreement with the data, suggesting that a nonvanishing gluon mass provides a better description of the spectrum of heavy mesons than the massless case.

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Anaclara Alvez, Nahuel Barrios, Florencia Benítez, Marcela Peláez. 2025-09-04. Nonrelativistic meson masses from the Curci-Ferrari model. https://arxiv.org/abs/2509.04365

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