npsm 새물리 New Physics : Sae Mulli

pISSN 0374-4914 eISSN 2289-0041


Research Paper

New Physics: Sae Mulli 2017; 67: 162-168

Published online February 28, 2017

Copyright © New Physics: Sae Mulli.

Phase Shift Analysis of $\alpha $ + Nucleus Elastic Scattering at $E_{lab}$ = 240 MeV

Yong Joo KIM*

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


Received: September 8, 2016; Revised: September 28, 2016; Accepted: September 28, 2016

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 of $\alpha$ particles on $^{16}$O, $^{24}$Mg, $^{28}$Si, $^{58}$Ni, $^{116}$Sn and $^{197}$Au targets at $E_{lab}$ = 240 MeV have been analyzed by using the parametrized phase-shift model. The calculated elastic differential cross sections show fairly good agreement with the experimental data. The oscillatory structures observed in the angular distributions can be explained due to the strong interference between the near-side and the far-side scattering amplitudes. Strong absorption radii gradually increase as the target nucleus becomes heavier and provide a good estimate of the reaction cross sections. The reaction cross sections are found to display an approximately linear dependence of ($A_{P}^{1/3}+A_{T}^{1/3})^2$. We also investigate the effect of the $\mu$ value related with the strength of the real nuclear phase shift on the elastic scattering cross sections.

Keywords: Phase shift analysis, Parametrized phase shift model, Elastic scattering, $\alpha$ + nucleus

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