On the Determination of the $b \rightarrow c$ Handedness Using Nonleptonic $Λ_c$-Decays

Details On the Determination of the $b \rightarrow c$ Handedness Using Nonleptonic $Λ_c$-Decays On the Determination of the $b \rightarrow c$ Handedness Using Nonleptonic $Λ_c$-Decays

1993-10-11

arxiv.org/abs/hep-ph/9310263v1

Phys.Rev. D49 (1994) 2363-2368

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, Latex, DESY 93-135, 3 Figures (not included, available by fax upon request to T00KRM@DHHDESY3.DESY.DE)

Scientific paper

10.1103/PhysRevD.49.2363

We consider possibilities to determine the handedness of $b \ra c$ current transitions using semileptonic baryonic $\Lambda_{b} \rightarrow \Lambda_{c}$ transitions. We propose to analyze the longitudinal polarization of the daughter baryon $\Lambda_c$ by using momentum-spin correlation measurements in the form of forward-backward (FB) asymmetry measures involving its nonleptonic decay products. We use an explicit form factor model to determine the longitudinal polarization of the $\Lambda_c$ in the semileptonic decay $\Lambda_b \ra \Lambda_c + l^- + \bar \nu_l$. The mean longitudinal polarization of the $\Lambda_c$ is negative (positive) for left-chiral (right-chiral) $b \ra c$ current transitions. The frame dependent longitudinal polarization of the $\Lambda_c$ is large ($\cong 80\%$) in the $\Lambda_b$ rest frame and somewhat smaller (30\% - 40\%) in the lab frame when the $\Lambda_b$'s are produced on the $Z_0$ peak. We suggest to use nonleptonic decay modes of the $\Lambda_c$ to analyze its polarization and thereby to determine the chirality of the $b \ra c$ transition. Since the $\Lambda_b$'s produced on the $Z_0$ are expected to be polarized we discuss issues of the polarization transfer in $\Lambda_b \ra \Lambda_c$ transitions. We also investigate the $p_\perp$- and $p$-cut sensitivity of our predictions for the polarization of the $\Lambda_c$.

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