Analysis of the semileptonic $B_c\to D_1^0$ transition in QCD sum rules and HQET

TL;DR

This paper analyzes the semileptonic $B_c o D_1^0$ transition using QCD sum rules and HQET, exploring different internal structures of the $D_1^0$ meson and calculating form factors, decay rates, and branching ratios.

Contribution

It introduces a comprehensive analysis of the $D_1^0$ meson structure in semileptonic decays using multiple theoretical approaches and considers mixing effects, providing detailed form factors and physical predictions.

Findings

Form factors are calculated for different $D_1^0$ structures.

Decay rates and branching ratios are evaluated based on form factors.

Physical quantities are plotted against the mixing angle $ heta$.

Abstract

We investigate the structure of the $D_{1}^0(2420[2430]) (J^P=1^+)$ mesons via analyzing the semileptonic $B_{c}\to D_{1}^0 l\nu$ transition in the frame work of the three--point QCD sum rules and the heavy quark effective theory. We consider the $D_{1}^0$ meson in three ways; the pure $|c\bar{u}\rangle$ state, a mixture of two $|^3P_1\rangle$ and $|^1P_1\rangle$ states with a mixing angle $\theta$ and a combination of two mentioned states with mixing angle $\theta=35.3^\circ$ in the heavy quark limit. Taking into account the gluon condensate contributions, the relevant form factors are obtained for the three above conditions. These form factors are numerically calculated for $|c\bar{u}\rangle$ and the heavy quark limit cases. The obtained results for the form factors are used to evaluate the decay rates and the branching ratios. Also for mixed states, all of the mentioned physical quantities are plotted with respect to the unknown mixing angle $\theta$.