Semileptonic Decays of Heavy Omega Baryons in a Quark Model

Download or read book Semileptonic Decays of Heavy Omega Baryons in a Quark Model written by and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The semileptonic decays of?{sub c} and?{sub b} are treated in the framework of a constituent quark model developed in a previous paper on the semileptonic decays of heavy? baryons. Analytic results for the form factors for the decays to ground states and a number of excited states are evaluated. For?{sub b} to?{sub c} the form factors obtained are shown to satisfy the relations predicted at leading order in the heavy-quark effective theory at the non-recoil point. A modified fit of nonrelativistic and semirelativistic Hamiltonians generates configuration-mixed baryon wave functions from the known masses and the measured?{sub c} →?e+? rate, with wave functions expanded in both harmonic oscillator and Sturmian bases. Decay rates of?{sub b} to pairs of ground and excited?{sub c} states related by heavy-quark symmetry calculated using these configuration-mixed wave functions are in the ratios expected from heavy-quark effective theory, to a good approximation. Our predictions for the semileptonic elastic branching fraction of?{sub Q} vary minimally within the models we use. We obtain an average value of (84 ± 2%) for the fraction of?{sub c} →?{sup (*)} decays to ground states, and 91% for the fraction of?{sub c} →?{sup (*)} decays to the ground state?. The elastic fraction of?{sub b} →?{sub c} ranges from about 50% calculated with the two harmonic-oscillator models, to about 67% calculated with the two Sturmian models.