Hybrid meson masses and the correlated Gaussian basis

TL;DR

This paper improves numerical methods for calculating hybrid meson masses in a charmonium model, supporting the interpretation of X(4260) as a hybrid meson, and compares magnetic and electric gluon contributions.

Contribution

It refines the hybrid meson mass calculations with improved numerical techniques and analyzes the effects of relativistic factors and gluon types within the model.

Findings

Hybrid meson interpretation of X(4260) is supported.

Electric gluon hybrid mesons are lighter than magnetic gluon ones.

Relativistic effects and coupling channels lower the predicted masses.

Abstract

We revisited a model for charmonium hybrid meson with a magnetic gluon [Yu. S. Kalashnikova and A. V. Nefediev, Phys. Rev. D {\bf 77}, 054025 (2008)] and improved the numerical calculations. These improvements support the hybrid meson interpretation of X(4260). Within the same model, we computed the hybrid meson mass with an electric gluon which is resolved to be lighter. Relativistic effects and coupling channels decreased also the mass.