Hadronic Weak Decays of Lambda b Baryon in the Covariant Oscillator Quark Model

TL;DR

This paper analyzes Cabibbo allowed two-body hadronic weak decays of Lambda b baryons using the covariant oscillator quark model, providing decay rates, asymmetries, and implications for CKM parameters, consistent with experimental data.

Contribution

It introduces a covariant oscillator quark model approach to calculate form factors and decay observables for Lambda b decays, satisfying heavy quark symmetry constraints.

Findings

Predicted decay branching ratio Br(Lambda b to Lambda J/psi) = 2.49 x 10^-4.

Found all up-down asymmetries to be negative.

Determined CKM parameter rho^2 + eta^2 from decay width ratios.

Abstract

Cabibbo allowed two-body hadronic weak decays of Lambda b baryons are analyzed in the factorization approximation. We use the covariant oscillator quark model to evaluate the heavy to heavy and heavy to light form factors. When applied in the heavy quark limit, our form factors satisfy all the constraints imposed by heavy quark symmetry. The decay rates and up-down asymmetries for Lambda b baryon decaying into Lambda c +P(V) are calculated. It is found that the up-down asymmetry is negative in all these decay modes. Furthermore, the prediction Br(Lambda b to Lambda+J/psi)=2.49 times 10^-4 is consistent with the recent experimental data. Finally it is pointed out that the CKM-Wolfenstein parameter rho^2+eta^2, where eta is the CP phase, can be determined from the ratio of the widths Lambda b to Lambda bar D^0 and Lambda b to Lambda J/psi, independent of the QCD parameter. The value of (rho^2 +eta^2)^1/2 calculated in our model agrees very well with the value recently predicted by Rosner.