2009/08/31 by K. Azizi, M. Bayar, Y. Sarac +1 · 2 citations
Physics and Astronomy · #Amplitude #Baryon #Electron #High-Energy Particle Collisions Research #Lambda #Lattice (music) #Lattice QCD #Lattice field theory #Lepton #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Physics #QCD sum rules #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Semileptonic decay #Sum rule in quantum mechanics #hep-ph
paper · pdf · doi:10.1103/physrevd.80.096007
18 Pages and 16 Tables
arxiv created 2009/11/10 · openalex publication_date 2009/11/30 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The tree-level semileptonic \ensuremathΛb\ensuremath→pl\ensuremathν and \ensuremathΛc\ensuremath→nl\ensuremathν transitions are investigated using the light cone QCD sum rules approach in full theory. The spin 1/2, \ensuremathΛQ baryon with Q=b or c, is considered by the most general form of its interpolating current. The time ordering product of the initial and transition currents is expanded in terms of the nucleon distribution amplitudes with different twists. Considering two sets of independent input parameters entering to the nucleon wave functions, namely, QCD sum rules and lattice QCD parameters, the related form factors and their heavy quark effective theory limits are calculated and compared with the existing predictions of other approaches. It is shown that our results satisfy the heavy quark symmetry relations for lattice input parameters and b case exactly and the maximum violation is for charm case and QCD sum rules input parameters. The obtained form factors are used to compute the transition rates both in full theory and heavy quark effective theory. A comparison of the results on decay rate of \ensuremathΛb\ensuremath→pl\ensuremathν with those predicted by other phenomenological methods or the same method in heavy quark effective theory with different interpolating current and distribution amplitudes of the \ensuremathΛb is also presented.