On Nonlinear Evolution of Axisymmetric Nuclear Surface

Abstract

We consider an uniformly charged incompressible nuclear fluid bounded by a closed surface. It is shown that an evolution of an axisymmetric surface $Γ(\bbox{r},t)\equiv σ- Σ(z,t) = 0,\quad \bbox{r}=(σ,ϕ,z)$ can be approximately reduced to a motion of a curve in the $(\sigma ,z)$-plane. A nonlinear integro-diffrerential equation for the contour $\Sigma (z,t)$ is derived. It is pointed on a direct correspondence between $\Sigma (z,t)$ and a local curvature, that gives possibility to use methods of differential geometry to analyze an evolution of an axisymmetric nuclear surface.

Clustering Phenomena in Nuclear Physics, Int. Conf., June 14-17, 2000, St.-Petersburg, Russia To be published in Sov. J. Nucl. Phys