Descriptions of Carbon isotopes within relativistic Hartree-Fock-Bogoliubov theory

TL;DR

This paper uses relativistic Hartree-Fock-Bogoliubov theory with Gogny D1S pairing to analyze the structure of Carbon isotopes, revealing halo structures and odd-even effects near the neutron drip line.

Contribution

It provides a systematic study of Carbon isotopes within RHFB theory, highlighting the role of blocking effects and pairing in halo formation.

Findings

Single-neutron halos in $^{17}$C and $^{19}$C

Two-neutron halo in $^{22}$C is not supported

Odd-even staggering in neutron radii near the drip line

Abstract

Within the relativistic Hartree-Fock-Bogoliubov (RHFB) theory, the structure properties of Carbon isotopes are systematically studied. In order to reproduce the experiment data, we take the finite-range Gogny D1S with a strength factor $f$ as the pairing force. 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 halo formation.