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Fission Barriers in Skyrme-HFB Approach LORW group 14 th Nuclear Physics Workshop "Marie & Pierre Curie" Kazimierz 2007.

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Presentation on theme: "Fission Barriers in Skyrme-HFB Approach LORW group 14 th Nuclear Physics Workshop "Marie & Pierre Curie" Kazimierz 2007."— Presentation transcript:

1 Fission Barriers in Skyrme-HFB Approach LORW group 14 th Nuclear Physics Workshop "Marie & Pierre Curie" Kazimierz 2007

2 Seniority pairing: J. Dudek, et al., J. Phys. G6 (1980)447.  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  n/p  N (or Z) s. p. states are taken, and parameters are chosen to reproduce  n/p for 252 Fm.

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21 LORW group: A. Baran, A. S. (Lublin) W. Nazarewicz (Oak Ridge) J. Dobaczewski (Warszawa )

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23 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: with the constraint conditions quadratic multipole constraints The multipole constraints prescribe different kinds of deformation characterized by the set of parameters

24 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”

25 The spectral (average) gap:


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