Isgur--Wise function in a relativistic model of constituent quarks

Abstract

The integral representation for Isgur -- Wise function (IWF) is obtained in the framework of instant--form relativistic Hamiltonian dynamics for mesons with one heavy quark. The upper and lower limits are calculated for the slope parameter of IWF ${\rho }^2$ by the model independent way. IWF is calculated for different wave functions of quarks in the meson. The difference between the limits of ${\rho }^2$ equals 1/3. The constraint on the slope parameter is in a good agreement with experiments. The weak dependence of IWF on the choice of wave functions is found.

arXiv comment10 pages, latex, 1 figure as eps-file

References in corpus (15)

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• Exact Duality and Bjorken Sum Rule in Heavy Quark Models à la Bakamjian-Thomas
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Cited by in corpus (7)

• Relativistic instant-form approach to the structure of two-body composite systems
• Relativistic instant-form approach to the structure of two-body composite systems (short version)
• Study of the leptonic decays of pseudoscalar $B,D$ and vector $B^{\ast },D^{\ast }$ mesons and of the semileptonic $B\to D$ and $B\to D^{\ast }$ decays
• Deuteron tensor polarization component T_20(Q^2) as a crucial test for deuteron wave functions
• Sum rules of Bjorken-Uraltsev type in the Bakamjian-Thomas relativistic quark model
• Static and dynamic properties of hadronic systems with heavy quarks b and c
• Study on the structure of the four-quark states in terms of the Born-Oppenheimer approximation