Within the relativistic Hartree-Fock-Bogoliubov (RHFB) theory, the structure properties of carbon isotopes are systematically studied. To provide better overall description, the finite-range Gogny force D1S with an adjusted strength factor is adopted as the effective paring interaction in the particle-particle channel. The self-consistent RHFB calculations with density-dependent meson-nucleon couplings indicate the single-neutron halo structures in both ${}^{17}$C and ${}^{19}$C, whereas the two-neutron halo in ${}^{22}$C is not well supported. It is also found that close to the neutron drip line there exists distinct odd-even staggering on neutron radii, which is tightly related with the blocking effects, and correspondingly the blocking effect plays a significant role in the single-neutron halo formation.

• Received 21 October 2012

DOI:https://doi.org/10.1103/PhysRevC.87.034311