THE LARGE MASS LIMIT OF THE SOLITON BOUND-STATE MODEL OF THE HYPERONS

We present a simple approximate version of the model for the heavy flavour hyperons, which describes them as bound states of an SU(2) soliton and heavy flavoured mesons, that applies in the limit of a large meson mass. The approximate model leads to an explicit expression for the energy of the bound meson, which reveals its sensitivity to the decay constant of the flavoured meson and also the presence of a near degeneracy of the meson energies in states with equal values of 2j - l + 2n, n being the principal quantum number. It also reveals that the consistency of the model requires that the decay constant of the heavy flavour meson grow with the square root of the meson mass. The approximate model is finally used to predict the magnetic moments of the bottom hyperons.