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Covariant quark model of form factors in the heavy mass limit
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abstract
We show that quark models of current matrix-elements based on the Bakamjian-Thomas construction of relativistic states with a fixed number of particles, plus the additivity assumption, are covariant in the heavy-quark limit and satisfy the full set of heavy-quark symmetry relations discovered by Isgur and Wise. We find the lower bound of $\rho^2$ in such models to be $3/4$ for ground state mesons, independently of any parameter. Another welcome property of these models is that in the infinite momentum limit the wave functions vanish outside the domain $0\le x \le 1$.
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Cited by 1 Pith paper
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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.
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