npsm 새물리 New Physics : Sae Mulli

pISSN 0374-4914 eISSN 2289-0041


Research Paper

New Physics: Sae Mulli 2014; 64: 1155-1161

Published online December 31, 2014

Copyright © New Physics: Sae Mulli.

Analysis of $^{6}$He + $^{12}$C Elastic Scattering at 38.3 MeV/nucleon

Yong Joo KIM*

Department of Physics and Research Institute for Basic Sciences, Jeju National University, Jeju 690-756, Korea


Received: October 6, 2014; Revised: October 24, 2014; Accepted: October 27, 2014

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.


Elastic scattering of the $^{6}$He + $^{12}$C system at 38.3 MeV/nucleon has been analyzed by extending the optical limit approximation to the Coulomb-modified Glauber model. Assuming that the $^{6}$He nucleus consists of a $^{4}$He core and two weakly-bound neutrons, we take the $^{6}$He density to be a sum of the densities of the core and the two halo neutrons. The calculated differential cross section, taking into account the halo effect, is found to be in fairly good agreement with the observed data. The oscillatory structure observed in the angular distribution can be explained as being due to the interference between the near-side and the far-side amplitudes. We investigate the halo neutrons' effects on the density, the angular distribution, the imaginary phase shift, the transparency function, and the reaction cross section. We found the introduction of the halo structure of $^{6}$He to be important in the description of $^{6}$He + $^{12}$C elastic scattering.

Keywords: Neutron-rich nucleus, Halo effect, Coulomb-modified Glauber model, Elastic scattering, Phase shift, $^{6}$He + $^{12}$C