1 research outputs found
A computationally tractable version of the collective model
A computationally tractable version of the Bohr-Mottelson collective model is
presented which makes it possible to diagonalize realistic collective models
and obtain convergent results in relatively small appropriately chosen
subspaces of the collective model Hilbert space. Special features of the
proposed model is that it makes use of the beta wave functions given
analytically by the softened-beta version of the Wilets-Jean model, proposed by
Elliott et al., and a simple algorithm for computing SO(5) > SO(3) spherical
harmonics. The latter has much in common with the methods of Chacon, Moshinsky,
and Sharp but is conceptually and computationally simpler. Results are
presented for collective models ranging from the sherical vibrator to the
Wilets-Jean and axially symmetric rotor-vibrator models.Comment: 16 pages, 9 figure