Infinite Momentum Frame Calculation of Semileptonic Heavy Λ_b\toΛ_c Transitions Including HQET Improvements

Details Infinite Momentum Frame Calculation of Semileptonic Heavy Λ_b\toΛ_c Transitions Including HQET Improvements Infinite Momentum Frame Calculation of Semileptonic Heavy Λ_b\toΛ_c Transitions Including HQET Improvements

1997-01-03

arxiv.org/abs/hep-ph/9701212v2

Phys.Rev. D56 (1997) 4282-4294

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, LaTeX, 6 figures are included in PostScript format. Final version of paper to appear in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.56.4282

We calculate the transition form factors that occur in heavy $\Lambda$-type baryon semileptonic decays as e.g. in $\Lambda_{b} \to \Lambda_{c}^{+} + l^{-} + \bar{\nu}_{l} $. We use Bauer-Stech-Wirbel type infinite momentum frame wave functions for the heavy $\Lambda$-type baryons which we assume to consist of a heavy quark and a light spin-isospin zero diquark system. The form factors at $ q^{2} = 0 $ are calculated from the overlap integrals of the initial and final $\Lambda$-type baryon states. To leading order in the heavy mass scale the structure of the form factors agrees with the HQET predictions including the normalization at zero recoil. The leading order $\omega$-dependence of the form factors is extracted by scaling arguments. By comparing the model form factors with the HQET predictions at ${\cal O}(1/m_{Q})$ we obtain a consistent set of model form factors up to ${\cal O}(1/m_{Q})$. With our preferred choice of parameter values we find that the contribution of the non-leading form factor is practically negligible. We use our form factor predictions to compute rates, spectra and various asymmetry parameters for the semi-leptonic decay $\Lambda_{b} \to \Lambda_{c}^{+} + l^{-} + \bar{\nu}_{l} $.

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