$B_c$ Meson Spectrum Via Dyson-Schwinger Equation and Bethe-Salpeter Equation Approach

TL;DR

This paper predicts the masses of low-lying $B_c$ mesons using a unified Dyson-Schwinger and Bethe-Salpeter equation approach with a flavor-dependent interaction, aligning well with lattice QCD and quark model results.

Contribution

It introduces a flavor-dependent interaction pattern within the Dyson-Schwinger and Bethe-Salpeter framework to accurately predict $B_c$ meson spectra, including radial excitations.

Findings

Predicted $B_c$ meson masses are consistent with lattice QCD and quark model results.

The approach successfully describes light, heavy-light, and heavy mesons.

Predictions serve as guidance for experimental searches.

Abstract

We predict the masses of the lowlying $B_c$ mesons with $J^P = 0^-,\,1^-,\,0^+,\,1^+,\,2^+$, using a flavor dependent interaction pattern which gives an unified successful description of the light, heavy-light and heavy mesons and is also appliable to the radial excited heavy mesons. The errors are controlled carefully. With the errors from the RL approximation subduced, our predictions are consistent with the lQCD and quark model results, which supports strongly that the flavor dependent interaction pattern is reasonable. Our predictions provide significant guides to the experiment search of the $B_c$ mesons.