  Encouraged with the evidence for Z = 6 magic number in neutron-rich carbon
isotopes, we have performed relativistic mean-field plus BCS calculations to
investigate ground state properties of entire chains of isotopes(isotones) with
Z(N) = 6 including even and odd mass nuclei. Our calculations include
deformation, binding energy, separation energy, single particle energy, rms
radii along with charge and neutron density profile etc., and are found in an
excellent match with latest experimental results demonstrating Z = 6 as a
strong magic number. N = 6 is also found to own similar kind of strong magic
character.
