The bottom-charmed meson spectrum from a QCD approach based on Tamm--Dancoff approximation

TL;DR

This paper models the bottom-charmed meson spectrum using a QCD Hamiltonian with Tamm-Dancoff approximation, analyzing hyperfine interactions, spin mixing, and comparing results with experimental data.

Contribution

It introduces a QCD-based approach employing Tamm-Dancoff approximation to estimate bottom-charmed meson energies, including effects of hyperfine interactions and spin mixing.

Findings

Calculated energies for low-lying and excited $B_c$ states.

Analyzed Regge trajectories and hyperfine splittings.

Compared results with experimental data and other models.

Abstract

The bottom-charmed meson spectrum is studied in this work via an effective version of the Coulomb gauge QCD Hamiltonian. The Tamm-Dancoff approximation is employed to estimate the energies of the low-lying and radial-excited $B_c$ states with quantum numbers $J^P = 0^{-}, 0^{+}, 1^{-}, 1^{+}, 2^{+}, 2^{-}$. In particular, we analyze the effects of incorporating an effective transverse hyperfine interaction and spin mixing. The Regge trajectories and hyperfine splitting of both $S$- and $P$-wave states are also examined. The numerical results are compared with available experimental data and theoretical predictions of other models.