%0 Journal Article %T Relativistic mean-field study of light nuclei near drip line %A B. K. Agrawal %A Tapas Sil %A S. K. Samaddar %A J. N. De %J Physics %D 2001 %I arXiv %X The relativistic mean field theory is applied to study some exotic properties of neutron rich nuclei as recently observed, namely, extension of the drip-line for $F$ nuclei from $^{29}F$ to $^{31}F$ and the appearence of a new shell closure at neutron number N=16. We find $^{31}F$ to be bound against one-neutron dripping but unbound only marginally for two neutron separation. The calculated functional dependence of one-neutron separation energy with neutron number for different values of $T_Z = (N-Z)/2$ signals a new shell closure at N=16 for neutron rich nuclei with $T_Z\ge 3$. This is further corroborated from the study of the deformation and the gap across the Fermi surface in these light nuclei. %U http://arxiv.org/abs/nucl-th/0111066v1