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

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.

Comments: 16 pages, RevTeX, revised