  Two new mechanisms active in rotating nuclei located in the vicinity of
neutron drip line have been discovered. Strong Coriolis interaction acting on
high-$j$ orbitals transforms particle-unbound (resonance) nucleonic
configurations into particle-bound ones with increasing angular momentum. The
point of the transition manifests the birth of particle-bound rotational bands.
Alternative possibility of the transition from particle-bound to resonance
rotational band (the death of particle-bound rotational bands) with increasing
spin also exists but it is less frequent in the calculations. The birth of
particle-bound rotational bands provides a mechanism for the extension of
nuclear landscape to neutron numbers which are larger than those of the neutron
drip line in non-rotating nuclei.
