Semileptonic transition of P wave bottomonium $\chi_{b0}(1P)$ to $B_{c}$ meson

TL;DR

This paper calculates the transition form factors and decay width for the semileptonic decay of P wave bottomonium $ ext{chi}_{b0}(1P)$ to $B_c$ meson using three-point QCD sum rules, including two-gluon condensate effects.

Contribution

It introduces a detailed QCD sum rule calculation of the transition form factors for $ ext{chi}_{b0}(1P)$ to $B_c$ decay, incorporating gluon condensate contributions.

Findings

Calculated form factors for the decay process.

Estimated decay width of $ ext{chi}_{b0}(1P) o B_c au ar{ u}$.

Provided theoretical predictions for future experimental tests.

Abstract

Taking into account the two-gluon condensate contributions, the transition form factors enrolled to the low energy effective Hamiltonian describing the semileptonic $\chi_{b0}\rightarrow B_{c}\ell\bar{\nu}, (\ell=(e,\mu,\tau))$ decay channel are calculated within three-point QCD sum rules. The fit function of the form factors then are used to estimate the decay width of the decay mode under consideration.