Description of 29F and 31F Within the Deformed Relativistic Hartree–Bogoliubov Theory in Continuum

The experimental exploration of halo nuclei over the past four decades has established ground-state halo phenomena in about twenty nuclei, providing important benchmarks for modern nuclear theories. The deformed relativistic Hartree–Bogoliubov theory in continuum (DRHBc) has been successfully applied to describe known halo nuclei and to predict new candidates during the last dozen years. In this work, the possible two-neutron halo nuclei F29 and F31 are investigated within the DRHBc framework. In the spherical limit, an inversion between the 2p3/2 and 1f7/2 orbitals is obtained relative to the conventional single-particle ordering, which plays a crucial role in the formation of deformed halos in these nuclei. Assuming a prolate deformation with β2≈0.4, as suggested in previous studies, a deformed two-neutron halo in F29 is reproduced. For F31, a well-deformed ground state with β2≈0.24 and a more pronounced two-neutron halo emerge self-consistently.