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Mon, 31 Oct 2005 13:11:02 +0100Mon, 31 Oct 2005 13:11:02 +0100Analytical relationship for the cranking inertia
http://publikationen.stub.uni-frankfurt.de/frontdoor/index/index/docId/3381
The wave function of a spheroidal harmonic oscillator without spin-orbit 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.Dorin N. Poenaru; Radu A. Gherghescu; Walter Greinerpreprinthttp://publikationen.stub.uni-frankfurt.de/frontdoor/index/index/docId/3381Mon, 31 Oct 2005 13:11:02 +0100Complex fission phenomena
http://publikationen.stub.uni-frankfurt.de/frontdoor/index/index/docId/3386
Complex fission phenomena are studied in a unified way. Very general reflection asymmetrical equilibrium (saddle point) nuclear shapes are obtained by solving an integro-differential 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.Dorin N. Poenaru; Radu A. Gherghescu; Walter Greinerpreprinthttp://publikationen.stub.uni-frankfurt.de/frontdoor/index/index/docId/3386Mon, 31 Oct 2005 13:07:08 +0100Deformation energy minima at finite mass asymmetry
http://publikationen.stub.uni-frankfurt.de/frontdoor/index/index/docId/3390
A very general saddle point nuclear shape may be found as a solution of an integro-differential 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 (non-zero) mass asymmetry. Results are presented for reflection asymmetric saddle point shapes of thorium and uranium even-mass isotopes with A=226-238 and A=230-238 respectively.Dorin N. Poenaru; Walter Greinerpreprinthttp://publikationen.stub.uni-frankfurt.de/frontdoor/index/index/docId/3390Mon, 31 Oct 2005 11:42:44 +0100