Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-11-06
Phys.Rev. D57 (1998) 5620-5631
Physics
High Energy Physics
High Energy Physics - Phenomenology
27 pages, 1 fig., minor changes, version to appear in Phys.Rev.D
Scientific paper
10.1103/PhysRevD.57.5620
Exclusive semileptonic Lambda_b decays to excited charmed Lambda_c baryons are investigated at order Lambda_{QCD}/m_Q in the heavy quark effective theory. The differential decay rates are analyzed for the J^\pi=1/2^- Lambda_c(2593) and the J^\pi=3/2^- \Lambda_c(2625). They receive 1/m_{c,b} corrections at zero recoil that are determined by mass splittings and the leading order Isgur-Wise function. With some assumptions, we find that the branching fraction for Lambda_b decays to these states is 2.5-3.3%. The decay rate to the helicity \pm 3/2 states, which vanishes for m_Q \to \infty, remains small at order Lambda_{QCD}/m_Q since 1/m_c corrections do not contribute. Matrix elements of weak currents between a Lambda_b and other excited Lambda_c states are analyzed at zero-recoil to order Lambda_{QCD}/m_Q. Applications to baryonic heavy quark sum-rules are explored.
Leibovich Adam K.
Stewart Iain W.
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