Subleading Isgur-Wise Function of $Λ_b\toΛ_{c1}$ using QCD sum rules

Details Subleading Isgur-Wise Function of $Λ_b\toΛ_{c1}$ using QCD sum rules Subleading Isgur-Wise Function of $Λ_b\toΛ_{c1}$ using QCD sum rules

2002-10-07

arxiv.org/abs/hep-ph/0210097v1

Phys.Lett. B552 (2003) 185-197

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, 4 figures

Scientific paper

10.1016/S0370-2693(02)03161-1

Subleading Isgur-Wise form factor $\tau(v\cdot v')$ at ${\cal O}(1/m_Q)$ for $\Lambda_b\to\Lambda_{c1}^{1/2,3/2}$ weak transition is calculated by using the QCD sum rules in the framework of the heavy quark effective theory (HQET), where $\Lambda^{1/2}_{c1}$ and $\Lambda^{3/2}_{c1}$ are the orbitally excited charmed baryon doublet with $J^P=(1^-/2,3^-/2)$. We consider the subleading contributions from the weak current matching in the HQET. 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 $\tau$ is obtained to be $\rho^2=2.76$ and the interception to be $\tau(1)=-1.27$ GeV.

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