Statistical analysis of excitation functions for elastic and inelastic scattering of α\alpha-particles on Mg and Si nuclei

Abstract

The excitation functions for inelastic α\alpha-scattering leading to the low lying excited states in 24^{24}Mg and 28^{28}Si were measured at ΘLAB\Theta_{LAB} = 170°, 175° and 179° in the LAB energy range 22.75–28.40 MeV. Statistical analysis of these excitation functions and those previously measured for elastic scattering was performed. The direct interaction contribution yD\mathit{y}_{D} to the reaction studied was obtained from probability distributions of cross sections and from correlation coefficients. Cross correlation coefficients between different reaction channels were calculated

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