A Semiclassical Theory of Nuclear Excitation Based on The Vlasov Equation
The Vlasov equation is an equation for the single-particle probability density f(r,p,t). Formally it resembles the Boltzmann equation without collision term1 The physical hypothesis underlying Vlasov’s approximation is that, on the average, the effect of collisions between particles can be simulated by a mean field in which each particle is allowed to move independently. This mean field is related in a self-consistent way to the particle density.
KeywordsQuantum Correction Strength Function Vlasov Equation Semiclassical Theory Nuclear Excitation
Unable to display preview. Download preview PDF.
- 1.P. Ring and P. Schuck, “The Nuclear Many-Body Problem”,Springer, Berlin (1980).Google Scholar
- 2.G. F. Bertsch, Dynamics of heavy ion collisions, in: “Nuclear Physics with Heavy Ions and Mesons”, R. Balian, M. Rho and G. Ripka, ed., North Holland, Amsterdam (1978).Google Scholar
- 3.D. M. Brink, A. Dellafiore and M. Di Toro, Solution of the Vlasov equation for collective modes in nuclei, Nucl. Phys. A456:205 (1986).Google Scholar
- 4.A. Dellafiore and F. Matera, Semiclassical kinetic equation and the WKB approximation, Nucl. Phys. A460:245 (1986).Google Scholar
- 5.G. F. Burgio, Thesis, Università di Catania, unpublished.Google Scholar