Size of two-body weakly bound objects: short versus long range potentials

The variation of the size of two-body objects is investigated, as the separation energy approaches zero, with both long range potentials and short range potentials having a repulsive core. It is shown that long range potentials can also give rise to very extended systems. Except for the l = 0 state, the asymptotic laws differ according to the range of the potential. For short range potentials defined by two and three parameters, their sensitivity to the shape and length is studied. These ideas as well as the transition from the short to the long range regime for the l = 0 case are illustrated using the Kratzer potential.     

High energy proton-proton total cross section and cosmic-ray data

Proton-nucleus total inelastic cross sections have been calculated in the multiple scattering theory for incident proton energies ranging between 20 and 10⁵ GeV. The results are compared to available cosmic-ray data. In view of the present analysis, extrapolations of the latest I.S.R. results on the proton-proton total cross section σ according to a logarithmic law almost saturating the Froissart bound seem hazardous.     

Excitation energy of the lowest 2+ and 3− levels in 32Mg and 146Gd

The excitation energy of the lowest 2⁺ and 3^? levels is calculated for neutron rich Mg-isotopes as well as for N=82 isotones. The calculations are made by assuming quadrupole-quadrupole and octupole-octupole forces. The quasiparticle energies and occupation numbers are taken from the energy density method.