pISSN 0374-4914 eISSN 2289-0041

## Research Paper

New Phys.: Sae Mulli 2017; 67: 1312-1318

Published online November 30, 2017 https://doi.org/10.3938/NPSM.67.1312

## Analysis of $\alpha$ + $^{16}$O Elastic Scattering in the Coulomb-Modified Glauber Model

Yong Joo KIM*

Department of Physics and Research Institute for Basic Sciences, Jeju National University, Jeju 63243, Korea

Correspondence to:yjkim@jejunu.ac.kr

Received: September 8, 2017; Revised: September 29, 2017; Accepted: September 29, 2017

This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

### Abstract

We analyze the elastic scattering of the $\alpha$ + $^{16}$O system at 240 and 400 MeV within the framework of the Coulomb-modified Glauber model by using an effective nucleon-nucleon ($NN$) amplitude considering a $q^{4}$ component. The calculated results show a fairly good agreement with the experimental data. The near-side and the far-side decompositions of the elastic cross section have also been performed by following Fuller's formalism. The presence of a nuclear rainbow is evidenced by a classical deflection function. We also investigate the effect of a $q^{4}$ component of the effective $NN$ amplitude on the elastic and the reaction cross sections. The effective $NN$ amplitude is found to be helpful in reproducing the $\alpha$ + $^{16}$O elastic scattering data.

Keywords: Coulomb-modified Glauber model, Effective $NN$ amplitude, In-medium $NN$ total cross section, Elastic scattering, $\alpha$ + $^{16}$O