Spectroscopic survey of higher-lying states of $B_c$ meson family

TL;DR

This paper presents a spectroscopic analysis of higher $B_c$ mesons, incorporating unquenched effects with a modified model, providing mass spectra and wave functions crucial for future experimental detection and decay studies.

Contribution

The study introduces a modified Godfrey-Isgur model with screening potential to analyze unquenched effects on higher $B_c$ mesons, offering new mass spectra and wave functions.

Findings

Unquenched effects significantly alter the mass spectrum of higher $B_c$ states.

Calculated wave functions facilitate studies of various decay modes.

Results support future experimental searches at the LHC.

Abstract

In this work, we investigate the spectroscopy of higher $B_c$ mesons, with a special focus on the consideration of the unquenched effects. To account for such effects, we employ the modified Godfrey-Isgur model and introduce a screening potential. The resulting mass spectrum of the concerned higher $B_c$ states is then presented, showing significant deviations after considering the unquenched effects. This emphasizes the importance of considering the unquenched effects when studying of the higher $B_c$ mesons. Furthermore, we determine the corresponding spatial wave functions of these $B_c$ mesons, which have practical applications in subsequent studies of their decays. These decays include two-body Okuba-Zweig-Iizuka allowed strong decays, dipion transitions between $B_c$ mesons, radiative decays, and some typical weak decays. With the ongoing high-luminosity upgrade of the Large Hadron Collider, we expect the discovery of additional $B_c$ states in the near future. The knowledge gained from the mass spectrum and the different decay modes will undoubtedly provide valuable insights for future experimental explorations of these higher $B_c$ mesons.