Performing Skyrme-type deformed Hartree-Fock calculations, the possibl
e presence of neutron skin in nuclei towards neutron drip line is stud
ied. The thickness of the neutron skin is found to be nearly constant
in all directions if it is measured perpendicular to the surface, and
in a given nucleus the number of neutrons being inside of the neutron
skin is almost independent of the deformation (namely, spherical shape
or normal deformation or superdeformation). In the region of medium-h
eavy nuclei our calculation shows the presence of a series of neutron-
rich nuclei, in which a neutron skin is present and yet the neutron on
e-particle spectra are far from those in a harmonic oscillator (plus s
pin-orbit) potential.