The $B_c$ Decays to $P$-wave Charmonium by Improved Bethe-Salpeter Approach

TL;DR

This paper recalculates $B_c$ meson decays to $P$-wave charmonium using an improved Bethe-Salpeter approach, providing precise form factors, decay widths, and lepton spectra, and compares results with experimental data and other models.

Contribution

It introduces an improved Bethe-Salpeter method for calculating $B_c$ decay properties, enhancing accuracy and enabling comprehensive comparisons with existing approaches.

Findings

Precise decay widths and form factors calculated.

Lepton spectra for semileptonic decays obtained.

Results compared favorably with experimental data and other models.

Abstract

We re-calculate the exclusive semileptonic and nonleptonic decays of $B_c$ meson to a $P$-wave charmonium in terms of the improved Bethe-Salpeter (B-S) approach, which is developed recently. Here the widths for the exclusive semileptonic and nonleptonic decays, the form factors, and the charged lepton spectrums for the semileptonic decays are precisely calculated. To test the concerned approach by comparing with experimental measurements when the experimental data are available, and to have comparisons with the other approaches the results obtained by the approach and those by some approaches else as well as the original B-S approach, which appeared in literature, are comparatively presented and discussed.