English

Subleading Isgur-Wise Function of $\Lambda_b\to\Lambda_{c1}$ using QCD sum rules

High Energy Physics - Phenomenology 2009-11-07 v1

Abstract

Subleading Isgur-Wise form factor τ(vv)\tau(v\cdot v') at O(1/mQ){\cal O}(1/m_Q) for ΛbΛc11/2,3/2\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 Λc11/2\Lambda^{1/2}_{c1} and Λc13/2\Lambda^{3/2}_{c1} are the orbitally excited charmed baryon doublet with JP=(1/2,3/2)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 Λc11/2\Lambda^{1/2}_{c1} and Λc13/2\Lambda^{3/2}_{c1} in the analysis. The slope parameter ρ2\rho^2 in linear approximation of τ\tau is obtained to be ρ2=2.76\rho^2=2.76 and the interception to be τ(1)=1.27\tau(1)=-1.27 GeV.

Keywords

Cite

@article{arxiv.hep-ph/0210097,
  title  = {Subleading Isgur-Wise Function of $\Lambda_b\to\Lambda_{c1}$ using QCD sum rules},
  author = {Jong-Phil Lee and Gye T. Park},
  journal= {arXiv preprint arXiv:hep-ph/0210097},
  year   = {2009}
}

Comments

21 pages, 4 figures