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.

Comments: 10 pages, latex, 1 figure as eps-file