Eur. Phys. J. A (2016) 52: 128
https://doi.org/10.1140/epja/i2016-16128-8

Regular Article - Theoretical Physics

Study of the neon interaction cross section using the Glauber model

¹ Department of Physics, Aligarh Muslim University, 202002, Aligarh, India
² United College of Engineering and Research, 211008, Naini, Allahabad, India

^* e-mail: suhel4451@gmail.com

Received: 9 January 2016
Revised: 14 March 2016
Accepted: 26 March 2016
Published online: 12 May 2016

Abstract

Working within the framework of the Coulomb-modified correlation expansion for the Glauber model S-matrix, we calculate the interaction cross section () of neon isotopes, ^17-32Ne, on ¹²C at 240 MeV/nucleon. The calculations involve i) up to the two-body density term in the correlation expansion, and ii) the single Gaussian approximation for the nucleon-nucleon amplitude. The colliding nuclei are described with Slater determinants consisting of the harmonic oscillator single-particle wave functions. The sole input of the density of each colliding nucleus, the oscillator constant, is fixed from the respective root-mean-square (rms) radius calculated using the relativistic mean-field approach. It is found that the calculated results for generally provide fairly good agreement with the experimental data except for ³¹Ne, for which the required rms neutron radius comes closer to the one obtained earlier using the extended (halo-like) neutron density distribution. This finding is also supported by our predicted differential cross section of ³¹Ne on ¹²C at 240 MeV/nucleon. However, as expected, the results of the present analysis are unable to discriminate between the halo and non-halo structure of ³¹Ne. In conclusion, our results suggest that the present calculations can be considered as a good starting point to predict the rms matter radii of exotic neutron-rich nuclei.