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Based on the relativistic calculations of the nuclear masses in thetransfermium region from No $(Z=102)$ to Ds $(Z=110)$ by the deformedrelativistic Hartree-Bogoliubov theory in continuum, the possible existence ofthe bound nuclei beyond the neutron drip lines is studied. The two-neutron andmulti-neutron emission bound nuclei beyond the primary neutron drip line of$N=258$ are predicted in $Z=106,108$ and $110$ isotopes. Detailed microscopicmechanism investigation reveals that nuclear deformation plays a vital role inthe existence of the bound nuclei beyond the drip line. Furthermore, not onlythe quadrupole deformation $\beta_{2}$, but also the higher orders ofdeformation are indispensible in the reliable description of the phenomenon ofthe reentrant binding.

Possible existence of bound nuclei beyond neutron drip lines driven by deformation