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Analysis of $\alpha$ + $^{40}$Ca and $\alpha$ + $^{58}$Ni Elastic Scatterings at $E_{lab}$ = 240 MeV
New Phys.: Sae Mulli 2018; 68: 1324~1330
Published online December 31, 2018;
© 2018 New Physics: Sae Mulli.

Yong Joo KIM*

Department of Physics and Research Institute for Basic Sciences, Jeju National University, Jeju 63243, Korea
Correspondence to:
Received September 11, 2018; Accepted October 10, 2018.
cc This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
The elastic scatterings for the $\alpha$ + $^{40}$Ca and the $\alpha$ + $^{58}$Ni systems at $E_{lab}$ = 240 MeV have been analyzed within the framework of the Coulomb-modified Glauber model using two kinds of Gaussian density parameters for the target nuclei. The first one is to use Gaussian density parameters obtained from the root-mean-square radius. The second one is to use parameters calculated by matching the Gaussian density to the two-parameter Fermi density. The results with surface-matched Gaussian densities provide reasonable agreement with the experimental data, but the results without matching do not. The oscillatory structures observed in the angular distributions of both system can be interpreted as being due to the strong interference between the near-side and the far-side scattering amplitudes. The differences between the phase shifts obtained from the two methods are examined. We also investigate the effect of these differences on the differential and reaction cross sections, the transmission functions and the strong absorption radii.
PACS numbers: 25.70.-z, 25.55.Ci
Keywords: Coulomb-modified Glauber model, Surface-matched Gaussian density, Elastic scattering, $\alpha+^{40}$Ca, $\alpha+^{58}$Ni

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