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In the almost fifty years since the phenomenon of superconductivity
was brought into
nuclear structure,[1,2,3] our knowledge of the
nature of pairing correlations in nuclei is still unsatisfactory and
many fundamental questions remain (see Refs.[4,5,6] and
papers quoted therein). For instance, some components of the pairing
interaction are believed to be induced, like in solid-state
superconductors,[7] some are directly rooted
in the nucleon-nucleon force. In practical calculations based on
effective interactions, one considers various pairing parametrizations.
The resulting pairing fields have a strong influence on most low-energy
properties of the nuclei[8] and the nuclear large-amplitude
collective motion. Indeed, by increasing configuration mixing and
reducing the magnitude of symmetry-breaking effects, pairing tends to
make the nuclear collective motion more adiabatic,[9]
Therefore, when aiming at a quantitative understanding of fission
properties of heavy and superheavy elements, it is important to have the
pairing channel under control.
The purpose of this study is to compare different pairing schemes
that are currently used in the Skyrme-Hartree-Fock+BCS (SHF+BCS)
model to describe nuclear superfluidity. Within this framework, we
compare the seniority paring force and state-dependent
-interaction (referred to as SHF+BCS(G) and
SHF+BCS(), respectively). As in our previous
paper,[10] we focus here on the fission properties of
even-even isotones with =184; namely, we discuss the total binding
energies, mass hexadecapole moments, and pairing gaps calculated
along the static fission paths.

** Next:** Theoretical framework and results
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Jacek Dobaczewski
2006-12-10