# Excited $B_{c}$ States via Continuum QCD

## TL;DR

This paper uses continuum QCD methods to study excited Bc states, accurately predicting their masses, mass splittings, and decay constants, aligning well with recent experimental observations.

## Contribution

It provides a continuum QCD calculation of excited Bc states, offering precise mass and decay constant predictions that enhance understanding of heavy meson spectroscopy.

## Key findings

- Predicted Bc(2S) masses match experimental data
- Calculated decay constants for excited states
- Estimated mass splitting aligns with observations

## Abstract

We study the most recently observed excited $B_{c}$ states with the Dyson-Schwinger equation and the Bethe-Salpeter equation approach of continuum QCD. The obtained $M_{B^+_{c}(2S)}=6.813(16)\text{GeV}$, $M_{B^{*+}_{c}(2S)}=6.841(18)\text{GeV}$ and the mass splitting $M_{B_c^+(2S)}-M^{\text{rec}}_{B_c^{*+}(2S)} \approx 0.039 \text{GeV}$ agree with the observations very well. Moreover we predict the leptonic decay constant $f_{B^+_{c}(2S)}=-0.165(10)\text{GeV}$, $f_{B^{*+}_{c}(2S)}=-0.161(7)\text{GeV}$ respectively.