Covariant quark model of form factors in the heavy mass limit

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 $0\le x\le 1$.

16 pages

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• Uraltsev Sum Rule in Bakamjian-Thomas Quark Models
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• Heavy-to-Light Form Factors in the Final Hadron Large Energy Limit: Covariant Quark Model Approach
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• A Few Aspects of Heavy Quark Expansion
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• Slope of the Isgur-Wise function in the heavy mass limit of quark models à la Bakamjian-Thomas
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• Isgur--Wise function in a relativistic model of constituent quarks
• Spatial distributions in static heavy-light mesons: a comparison of quark models with lattice QCD
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• On P-wave meson decay constants in the heavy quark limit of QCD
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• Sum rules of Bjorken-Uraltsev type in the Bakamjian-Thomas relativistic quark model
• Bounds on the slope and curvature of Isgur-Wise function in a QCD inspired quark model
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• Isgur-Wise functions and unitary representations of the Lorentz group : the meson case j = 1/2
• Unexpected pattern of transitions to radial excitations by heavy quark current
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