Scattering of alpha-particles from46Ti atE α=45 and 50 MeV and from48Ti atE α=40 and 45 MeV

Abstract

Differential cross-sections for elastic and inelastic scattering of 45 and 50 MeV alpha-particles from46Ti have been measured in the angular range from θlab5° to 135° in 2.5° and 5° steps and those of 40 and 45 MeV alpha-particles from48Ti in the angular ranges from θlab20° to 125° and 5° to 130°, respectively, in the same angular steps. A six-parameter optical-model analysis of the elastic-scattering data has been carried out using Woods-Saxon, and Woods-Saxon-squared radial dependences. A method based on predicting optical-model potential parameters starting with a consistent set of parameters at higher energies following the energy dependences established from the systematics has also been used. The most sensitive region of the potential in predicting the elastic-scattering cross-sections has been found by using a notch perturbation test. The problem of discrete family ambiguity in the optical-model analysis of elastic data has also been investigated. The inelastic-scattering data have been analysed in terms of the collective model using the distorted-wave Born approximation (DWBA), where the distorted waves are generated by the optical potential obtained from the elastic-scattering data. The values of the deformation parameter (β 2) thus obtained compare very well with the ones reported earlier.