The effect of self interacting isoscalar-vector meson on finite nuclei and infinite nuclear matter

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.

S. K. Biswal, S. K. Singh, M. Bhuyan, S. K. Patra · 2014