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Hadronic form factors for the rare weak transitions Λb→Λ(*) are calculated using a nonrelativistic quark model. The form factors are extracted in two ways. An analytic extraction using single component wave functions (SCA) with the quark current being reduced to its nonrelativistic Pauli form is employed in the first method. In the second method, the form factors are extracted numerically using the full quark model wave function (MCN) with the full relativistic form of the quark current. Both sets of form factors are found to satisfy the relationships expecetd from the heavy quark effective theory (HQET). Differential decay rates, branching ratios and forward-backward asymmetries (FBAs) are calculated for the dileptonic decays Λb→Λ(*)ℓ+ℓ , for transitions to both ground state and excited daughter baryons. Inclusion of the long distance contributions from charmonium resonances significantly enhances the decay rates. It is found that in the MCN model the Λ(1600) mode is the dominant mode in the μ channel when charmonium resonances are considered; the Λ(1520) mode is also found to have a comparable branching ratio to that of the ground state in the μ channel. It has been found that the FBAs for decays to Λ(1115), Λ(1600) and Λ(1405) are less sensitive to the form of the form factors in certain kinematic regions.
Heavy Hadrons, Quark Model, Form Factors, Rare Decays, HQET
Date of Defense
June 27, 2011.
A Dissertation Submitted to the Department of Physics in Partial FulﬁLlment of the Requirements for the Degree of Doctor of Philosophy.
Includes bibliographical references.
Winston Roberts, Professor Directing Dissertation; Michael Ruse, University Representative; Alexander Volya, Committee Member; Volker Crede, Committee Member; Joseph Owens, Committee Member.
Florida State University
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