%X This work is devoted to develop nuclear matter density distribution form for the heavy ions valid for the stable and halo nuclei. In this study we consider the neutron halo nuclei ( 15,17,19 C) and ( 16,22 C). The first group has a 1n-halo while the second has a 2n-halo. Based on the developed densities, the elastic scattering cross section data of C-isotopes on target of 12 C, at incident energies 70.8, 78 and 106.9 MeV/N, have been analyzed within the energy density functional theory. A consistent structural study of the neutron drip-line 22 C nucleus is done. © Published under licence by IOP Publishing Ltd. %K Carbon; Heavy ions; Isotopes; Rutherford backscattering spectroscopy, Carbon isotopes; Elastic scattering cross sections; Energy density functional theory; Incident energy; Neutron drip line; Nuclear matters; Structural studies; Theoretical study, Density functional theory %R 10.1088/1742-6596/1123/1/012031 %N 1 %D 2018 %L scholars9581 %J Journal of Physics: Conference Series %O cited By 1; Conference of 5th International Conference on Fundamental and Applied Sciences, ICFAS 2018 ; Conference Date: 13 August 2018 Through 15 August 2018; Conference Code:142772 %I Institute of Physics Publishing %A A. Ismail %A L.Y. Cheong %A S.A. Makhlof %A M. Allosh %V 1123 %T Theoretical Study on Carbon Isotopes