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PAIRING PROPERTIES OF SUPERHEAVY NUCLEI A. Staszczak, J. Dobaczewski and W. Nazarewicz

PAIRING PROPERTIES OF SUPERHEAVY NUCLEI A. Staszczak, J. Dobaczewski and W. Nazarewicz (KFT UMCS) (IFT UW) (ORNL & UT). The constrained HF procedure The constraints act as the external fields capable to deform the nucleus in different ways

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PAIRING PROPERTIES OF SUPERHEAVY NUCLEI A. Staszczak, J. Dobaczewski and W. Nazarewicz

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  1. PAIRING PROPERTIES OF SUPERHEAVY NUCLEI A. Staszczak, J. Dobaczewski and W. Nazarewicz (KFT UMCS) (IFT UW) (ORNL & UT)

  2. 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

  3. 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”

  4. Size of the basis 1140 s. p. states of deformed 3D h. o.

  5. Zero-range 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 paring (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.

  6. The spectral (average) gap:

  7. SLy4

  8. SLy4

  9. SLy4

  10. SLy4

  11. Total Energy Etot [MeV] Hexadecapole Moment Q40 [b2] Quadrupole Moment Q20 [b] MIX SLy4  Etot Q40

  12. Pairing Gap Dn/p [MeV] Total Energy Etot [MeV] Quadrupole Moment Q20 [b] MIX SLy4  Etot Dn Dp

  13. Summary We compared “volume”, “surface” and “mixed” zero-range nuclear pairing forces with monopole pairing. Applying “mixed” -interaction we have investigated total binding energies (barriers) and spectral pairing gaps along fission paths of even-even superheavy nuclei with N = 184.

  14. KONIEC

  15. P. Möller, J. R. Nix, and K.-L. Kratz Atomic Data’97

  16. Total Energy Etot [MeV] Hexadecapole Moment Q40 [b2] Quadrupole Moment Q20 [b] G SLy4

  17. Pairing Gap [MeV] Total Energy Etot [MeV] Quadrupole Moment Q20 [b] G SLy4  Etot Dn Dp

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