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Fission Barriers in Skyrme-HFB Approach LORW group. 14 th Nuclear Physics Workshop "Marie & Pierre Curie" Kazimierz 2007. d- pairing force: R. R. Chasman, Phys. Rev. C 14 (1976)1935. G. F. Bertsch and H. Esbensen, Ann. Phys. (N.Y.) 209 (1991)327.
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Fission Barriers in Skyrme-HFB Approach LORW group 14th Nuclear Physics Workshop"Marie & Pierre Curie"Kazimierz 2007
d-pairing force: R. R. Chasman, Phys. Rev. C 14 (1976)1935. G. F. Bertsch and H. Esbensen, Ann. Phys. (N.Y.) 209 (1991)327. In the pairing (BCS) window Wn/pN (or Z) s. p. states are taken, parameters are chosen to reproduce Dn/pfor 252Fm. and Seniority pairing: J. Dudek, et al., J. Phys. G6 (1980)447.
LORW group: A. Baran, A. S. (Lublin) W. Nazarewicz (Oak Ridge) J. Dobaczewski(Warszawa)
The constrained HF procedure • The constraints act as the external fields capable to deform the nucleus in different ways • The collective coordinates can be defined in a natural way by measuring • the deformations generated by the various constraints The constrained mean field theory defines the deformed states (BCS- or HFB-type) that solve the variational equation: quadratic multipole constraints with the constraint conditions The multipole constraints prescribe different kinds of deformation characterized by the set of parameters
is the many-body nuclear (non-relativistic) Hamiltonian center-of-mass “projection” term (in the VAP technique), to eliminate spurious mode associated with the broken translational symmetry nuclear effective interaction term (Skyrme, Gogne type forces) To describe the fission process most “important” are the low-multipolarity mass moments, i.e., “nuclear stretching” “reflection-asymmetry” “necking”