Colour-straight four-quark operators and liftemes of beautiful hadrons

TL;DR

This paper evaluates four-quark operator expectation values in b-flavored hadrons using harmonic oscillator models, predicting lifetime ratios that align with experimental data and highlighting the operators' significance.

Contribution

It introduces a method linking harmonic oscillator wave functions to four-quark operator expectations, providing lifetime ratio predictions for b-hadrons.

Findings

Predicted / ratios close to experimental values.

Showed four-quark operators influence b-hadron lifetimes.

Established proportionality between wave function and operator expectation values.

Abstract

Using the relation between the harmonic oscillator wave function and the light quark scattering form factor, the expectation values of colour-straight four-quark operators are evaluated and found to be directly proportional to the cubic power of the oscillator strength. It is predicted that the ratio \tau(\Lambda_b)/\tau(B) \approx 0.79(0.84) due to the factorizable (nonfactorisable) piece, against the experimental 0.79 \pm 0.06. Notwithstanding the numerical prediction, the present study shows that the four-quark operators play a role as far the lifetimes of b-flavoured hadrons are concerned.