npsm 새물리 New Physics : Sae Mulli

pISSN 0374-4914 eISSN 2289-0041


Research Paper

New Phys.: Sae Mulli 2020; 70: 1085-1091

Published online December 31, 2020

Copyright © New Physics: Sae Mulli.

$\alpha$ + $^{116}$Sn and $^{6}$Li + $^{116}$Sn Elastic Scatterings at $E_{lab}=$ 240 MeV  :  Coulomb-modified Glauber Model Approach

Yong Joo KIM*

Department of Physics, Jeju National University, Jeju 63243, Korea


Received: September 22, 2020; Revised: November 10, 0220; Accepted: November 10, 2020


We analyzed experimental data on elastic $\alpha$ + $^{116}$Sn and $^{6}$Li + $^{116}$Sn scatterings at $E_{lab}=$ 240 MeV within the framework of the Coulomb-modified Glauber model. The ingredients of the model used in this work were the nucleon-nucleon ($NN)$ amplitude and the densities of the colliding nuclei. The calculations included the effective $NN $ amplitude considering a $q^{4}$ component and the surface-matched Gaussian density of the target nucleus. The calculated results reproduced satisfactorily the structures of differential cross sections and agreed well with the experimental data. \ The oscillatory structures observed in the angular distributions were explained using the strong interference between the near-side and the far-side scattering amplitudes. We found that the introduction of both an effective $NN$ amplitude and a surface-matched Gaussian density plays an important role in providing a better description of the elastic data.

Keywords: Coulomb-modified Glauber model, Effective $NN$ amplitude, Surface-matched Gaussian density, Elastic scattering, $\alpha$ + $^{116}$Sn, $^{6}$Li + $^{116}$Sn


Fig. 1.

Measured data (solid circles)\cite{clark98, chen07} for $\alpha $ + $^{116}$Sn and $^{6}$Li + $^{116}$Sn elastic scatterings at $E_{lab}=$ 240 MeV, and Coulomb-modified Glauber model fits to them. The solid and dotted curves are the calculations obtained by using the effective $NN$ amplitude with SMGD and non-SMGD, respectively.