Weak decays of $B_s$ mesons to $D_s$ mesons in the relativistic quark model

TL;DR

This paper calculates the form factors for weak decays of $B_s$ mesons to various $D_s$ states using a relativistic quark model, providing comprehensive predictions aligned with experimental data.

Contribution

It introduces a consistent relativistic quark model approach that accounts for all relativistic effects without phenomenological extrapolations for $B_s$ to $D_s$ decays.

Findings

Form factors determined across the entire kinematic range.

Predicted decay branching fractions match experimental results.

Provides detailed analysis of semileptonic and nonleptonic $B_s$ decays.

Abstract

The form factors of weak decays of $B_s$ mesons to ground state $D_s^{(*)}$ mesons as well as to their radial $D_s^{(*)}(2S)$ and orbital $D_{sJ}^{(*)}$ excitations are calculated in the framework of the relativistic quark model based on the quasipotential approach. All relativistic effects, including contributions of intermediate negative-energy states and boosts of the meson wave functions, are consistently taken into account. As a result the form factors are determined in the whole kinematical range without additional phenomenological parametrizations and extrapolations. On this basis semileptonic decay branching fractions are calculated. Two-body nonleptonic $B_s$ decays are considered within the factorization approximation. The obtained results agree well with available experimental data.