$B_c$ mesons and their properties on the light front

TL;DR

This paper models $B_c$ mesons using a light-front Hamiltonian approach, incorporating holographic confinement and gluon exchange, to compute their spectrum and internal properties with results aligning well with experimental data.

Contribution

It introduces a novel light-front Hamiltonian framework for $B_c$ mesons combining holographic and longitudinal confinement with gluon exchange effects.

Findings

Mass spectrum matches experimental data

Light-front wave functions enable decay constant calculations

Charge and momentum densities are consistent with theoretical expectations

Abstract

We investigate the unequal mass relativistic bound state system, the $B_c$ mesons, in a light-front Hamiltonian formalism. We adopt an effective Hamiltonian based on soft-wall light-front holography, together with a longitudinal confinement that was first introduced for heavy quarkonium. We also include the one gluon-exchange interaction with a running coupling, which produces the spin structure. We present the mass spectrum and light-front wave functions. We also use the light-front wave functions to calculate decay constants, charge and momentum densities, as well as distribution amplitudes. The results are compared with experiments and other theoretical approaches, all of which are in reasonable agreement.