| Abstract No: |
025
|
| Submitted on: |
3 Jan 2001, 11:00 GMT
|
| Title: |
Symmetry restorations in Skyrme mean-field calculations
|
| Author(s): |
P.-H. Heenen,
|
| Affiliation(s): |
PNTPM, Université Libre de Bruxelles, B1050, Bruxelles, Belgium
|
The general framework
of a method which permits to restore the rotational
and particle number symmetries of wave functions obtained in
Skyrme HF+BCS calculations has been presented recently[1].
This restoration is nothing but a projection of mean-field intrinsic
wave functions onto good particle number and good angular momentum.
The method allows also to mix projected wave functions.
Such a configuration mixing is discussed for sets of HF+BCS intrinsic states
generated in constrained calculations with suitable collective
variables.
This procedure gives collective states which are eigenstates of
the particle number and the angular momentum operators and between
which transition probabilities can be calculated.
An application to 24Mg will first be presented, to test
the method. The mean-field wave functions are
generated by axial quadrupole constraints.
Theoretical spectra and
transition probabilities are compared to the experiment.
An application to several neutron rich isotopes between oxygen and titan will then be presented. The effect of symmetry restoration on the shell closure at N=20 will be discussed in details. The ability of the method to describe excited states with large quadrupole deformations will be illustrated by a study of the excited 0+ states in 16O.