  We report on a two-flavor lattice QCD study of the axial, charge and matter
distributions of the $B$ meson and its first radial excitation. As our
framework is the static limit of Heavy Quark Effective Theory (HQET), taking
their Fourier transform gives access to several form factors at the kinematical
point $q^2=0$. Moreover they provide some useful information on the nature of
an excited state, i.e. a radial excitation of a quark-antiquark bound state or
a multihadron state.
