Refine
Is part of the Bibliography
3 search hits

Analytical relationship for the cranking inertia
(2004)

Dorin N. Poenaru
Radu A. Gherghescu
Walter Greiner
 The wave function of a spheroidal harmonic oscillator without spinorbit interaction is expressed in terms of associated Laguerre and Hermite polynomials. The pairing gap and Fermi energy are found by solving the BCS system of two equations. Analytical relationships for the matrix elements of inertia are obtained function of the main quantum numbers and potential derivative. They may be used to test complex computer codes one should develop in a realistic approach of the fission dynamics. The results given for the 240 Pu nucleus are compared with a hydrodynamical model. The importance of taking into account the correction term due to the variation of the occupation number is stressed.

Complex fission phenomena
(2004)

Dorin N. Poenaru
Radu A. Gherghescu
Walter Greiner
 Complex fission phenomena are studied in a unified way. Very general reflection asymmetrical equilibrium (saddle point) nuclear shapes are obtained by solving an integrodifferential equation without being necessary to specify a certain parametrization. The mass asymmetry in binary cold fission of Th and U isotopes is explained as the result of adding a phenomenological shell correction to the liquid drop model deformation energy. Applications to binary, ternary, and quaternary fission are outlined.

Deformation energy minima at finite mass asymmetry
(2004)

Dorin N. Poenaru
Walter Greiner
 A very general saddle point nuclear shape may be found as a solution of an integrodifferential equation without giving apriori any shape parametrization. By introducing phenomenological shell corrections one obtains minima of deformation energy for binary fission of parent nuclei at a finite (nonzero) mass asymmetry. Results are presented for reflection asymmetric saddle point shapes of thorium and uranium evenmass isotopes with A=226238 and A=230238 respectively.