Leading Isgur-Wise form factor of $Λ_b\toΛ_{c1}$ transition using QCD sum rules

Details Leading Isgur-Wise form factor of $Λ_b\toΛ_{c1}$ transition using QCD sum rules Leading Isgur-Wise form factor of $Λ_b\toΛ_{c1}$ transition using QCD sum rules

2000-12-11

arxiv.org/abs/hep-ph/0012114v1

Phys.Lett. B502 (2001) 133-139

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 3 figures, to appear in PLB

Scientific paper

10.1016/S0370-2693(01)00035-1

The leading Isgur-Wise form factor $\xi(y)$ parametrizing the semileptonic transitions $\Lambda_b\to\Lambda^{1/2}_{c1}\ell\bar\nu$ and $\Lambda_b\to\Lambda^{3/2}_{c1}\ell\bar\nu$ is calculated by using the QCD sum rules in the framework of heavy quark effective theory, where $\Lambda^{1/2}_{c1}$ and $\Lambda^{3/2}_{c1}$ is the orbitally excited charmed baryon doublet with $J^P=(1^-/2,3^-/2)$. The interpolating currents with transverse covariant derivative are adopted for $\Lambda^{1/2}_{c1}$ and $\Lambda^{3/2}_{c1}$ in the analysis. The slope parameter $\rho^2$ in linear approximation of the Isgur-Wise function is obtained to be $\rho^2=2.01$, and the interception to be $\xi(1)=0.29$. The decay branching ratios are estimated.

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