  A detailed study is made for the nucleon-nucleon interaction based on
relativistic mean field theory in which the potential is explicitly expressed
in terms of mass and the coupling constant of the meson fields. A unified
treatment for self-coupling of isoscalar-scalar $\sigma-$, isoscalar-vector
$\omega$-mesons and their coupling constant are given with a complete analytic
form. The present investigation is focused on the effect of self-interacting
higher order $\sigma$ and $\omega$ field on nuclear properties. An attempt is
made to explain the collapsing stage of nucleon by higher order $\omega$-field.
Both infinite nuclear matter and the finite nuclear properties are included in
the present study to observe the behaviour or sensitivity of this self
interacting terms.
