The application of some nuclear potentials for quasielastic scattering data of the $^{11}$Li $+ ~ ^{28}$Si reaction and its consequences

Authors: MURAT AYGÜN

Abstract: The aim of the present study is to provide a better understanding of the effect and applicability of nuclear potentials on scattering reactions. For this, we investigate the quasielastic scattering data of the $^{11}$Li $+ ~ ^{28}$Si reaction at 319 MeV within the framework of the optical model. In order to obtain the real part of the optical potential, we use ten different potentials, which consist of Proximity 1977 (Prox 77), Proximity 1988 (Prox 88), Broglia and Winther 1991 (BW 91), Aage Winther (AW 95), Christensen and Winther 1976 (CW 76), Bass 1973 (Bass 73), Bass 1977 (Bass 77), Bass 1980 (Bass 80), Siwek-Wilczynska-Wilczynski (SWW), and Denisov potential (DP). The imaginary part is assumed as Woods-Saxon type in all the calculations. The theoretical results are compared with each other as well as the experimental data. It is found that the results depend on the shapes of the nuclear potentials used in the analysis. The most consistent results with the experimental data are obtained for Prox 77 potential. Finally, the cross-sections ($\sigma )$ and $\chi^{2}$/N values are given for all the nuclear potential calculations.

Keywords: Proximity potential, nuclear potential, optical model

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