Speaker
Description
We investigate the spectroscopy of heavy-heavy mesons within the relativistic flux tube (RFT) framework using a semirelativistic Hamiltonian incorporating a linear confining interaction and a Coulomb-like one-gluon-exchange contribution. The spin-independent bound-state problem is solved numerically in momentum space using the Lagrange mesh method (LMM), providing an efficient treatment of the relativistic kinetic-energy operator. The physical mass spectrum is obtained by incorporating perturbative contributions arising from quark self-energy, flux-tube retardation, string effects, flux-tube spin-orbit interaction, and one-gluon-exchange spin-dependent interactions, including spin-spin, spin-orbit, and tensor terms. The calculated spectra are compared with available experimental measurements and predictions from other theoretical approaches. The results demonstrate the applicability of the RFT-LMM framework to the spectroscopy of heavy-heavy mesons and provide a systematic framework for studying their ground and excited states.