Inelastic scattering of 28.0 MeV protons on56Fe

Abstract

The elastic and inelastic scattering cross sections of 28.0 MeV protons on ${}^{56}\mathrm{Fe}$ are measured. The results are analyzed in the framework of the coupled channels formalism. The nucleus ${}^{56}\mathrm{Fe}$ has been described in the literature to be soft regarding vibrational as well as asymmetric rotational motion. The analysis has therefore been done in terms of two collective models, i.e., the harmonic vibrational model and the asymmetric rotor model. In the vibrational model it was necessary to include the one-phonon components in the wave functions of the two-phonon ${2}^{+}$ and ${4}^{+}$ states while in the asymmetric rotor model the contributions due to the higher multipole moments $({\ensuremath{\beta}}_{40},{\ensuremath{\beta}}_{42})$ were found to be significant in the excitation of the ${4}_{1}^{+}$ and ${4}_{2}^{+}$ states.