The authors derive formal expressions for the elastic and inelastic Isgur-Wise functions of Lambda_b to Lambda_c(1/2+ and 1/2-) transitions in the Bakamjian-Thomas three-body quark model.
Recursion Relations for Clebsch-Gordan Coefficients of Uq(su2) and Uq(su1,1)
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abstract
We report in this article three- and four-term recursion relations for Clebsch-Gordan coefficients of the quantum algebras $U_q(su_2)$ and $U_q(su_{1,1})$. These relations were obtained by exploiting the complementarity of three quantum algebras in a $q$-deformation of $sp(8, \gr)$.
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Isgur-Wise functions for $\boldsymbol{\Lambda_b \to \Lambda_c\left({1 \over 2}^\pm \right)}$ transitions in the Bakamjian-Thomas Relativistic Quark Model
The authors derive formal expressions for the elastic and inelastic Isgur-Wise functions of Lambda_b to Lambda_c(1/2+ and 1/2-) transitions in the Bakamjian-Thomas three-body quark model.