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Particles in the classically forbidden areas are studied based on the deformed relativistic Hartree-Bogoliubov theory in continuum with PC-PK1 for magnesium isotopes. It is shown the deformation effect makes the number of particles in the classically forbidden areas increase. By analyzing the neutron and proton radii, it is found that the largest deviations from the empirical values appear at the predicted neutron halo nuclei 42 Mg and 44 Mg. Consistently, a notable increase at 42 Mg and 44 Mg is found in the total number of neutrons in the classically forbidden areas that includes the number of neutrons in continuum.

Based on the relativistic calculations of the nuclear masses in the transfermium region from No to Ds using the deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc), the possible existence of bound nuclei beyond the neutron drip lines is studied. The two-neutron and multi-neutron emission bound nuclei beyond the primary neutron drip line of are predicted in , and isotopes. A detailed microscopic mechanism investigation reveals that nuclear deformation plays a vital role in the existence of bound nuclei beyond the drip line. Furthermore, not only the quadrupole deformation but also the higher orders of deformation are indispensable in the reliable description of the phenomenon of reentrant binding.

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