21 research outputs found
Correlations in Nuclei: Self-Consistent Treatment and the BAGEL Approach
An approach is presented which allows a self-consistent description of the
fragmentation of single-particle strength for nucleons in finite nuclei
employing the Greens function formalism. The self-energy to be considered in
the Dyson equation for the single-particle Greens function contains all terms
of first (Hartree-Fock) and second order in the residual interaction. It is
demonstrated that the fragmentation of the single-particle strength originating
from the terms of second order can efficiently be described in terms of the
so-called BAGEL approximation. Employing this approximation the self-energy can
be evaluated in a self-consistent way, i.e. the correlations contained in the
Greens function are taken into account for the evaluation of the self-energy.
As an example this scheme is applied to the nucleus , using a realistic
nucleon nucleon interaction. The effects of the correlations on the occupation
probabilities and the binding energy are evaluated.Comment: 9 page
Long-Range Correlations in Closed Shell Nuclei
The effects of correlations on the bulk properties of nuclei are investigated
in large model spaces including up to 21 single-particle orbits. The evaluation
of the single-particle Green function is made feasible by means of the BAGEL
approximation. The spectral function for single-nucleon pick-up and removal is
investigated for the nuclei and . Special attention is paid
to the effects produced by correlations on the calculated ground state
properties of closed shell nuclei. It is observed that correlations beyond the
Brueckner Hartree Fock approximation tend to improve the results obtained using
realistic nucleon nucleon interactions.Comment: 23 pages 4 figures not included, Report Tu-93-081
Boson-conserving one-nucleon transfer operator in the interacting boson model
The boson-conserving one-nucleon transfer operator in the interacting boson
model (IBA) is reanalyzed. Extra terms are added to the usual form used for
that operator. These new terms change generalized seniority by one unit, as the
ones considered up to now. The results obtained using the new form for the
transfer operator are compared with those obtained with the traditional form in
a simple case involving the pseudo-spin Bose-Fermi symmetry in its limit. Sizeable differences are
found. These results are of relevance in the study of transfer reactions to
check nuclear supersymmetry and in the description of (\beta)-decay within IBA.Comment: 13 pages, 1 table, 0 figures. To be published in Phys. Rev.
Long-Range Correlations and the Momentum Distribution in Nuclei
The influence of correlations on the momentum distribution of nucleons in
nuclei is evaluated starting from a realistic nucleon-nucleon interaction. The
calculations are performed directly for the finite nucleus \,^{16}O making
use of the Green's function approach. The emphasis is focused on the
correlations induced by the excitation modes at low energies described within a
model-space of shell-model configurations including states up to the sdg shell.
Our analysis demonstrates that these long-range correlations do not produce any
significant enhancement of the momentum distribution at high missing momenta
and low missing energies. This is in agreement with high resolution
experiments for this nucleus. We also try to simulate the corresponding effects
in large nuclei by quenching the energy-spacing between single-particle orbits.
This yields a sizable enhancement of the spectral function at large momenta and
small energy. Such behavior could explain the deviation of the momentum
distribution from the mean field prediction, which has been observed in
experiments on heavy nuclei like Pb
Correlations and the Cross Section of Exclusive () Reactions for O
The reduced cross section for exclusive () reactions has been studied
in DWIA for the example of the nucleus O using a spectral function
containing effects of correlations. The spectral function is evaluated directly
for the finite nucleus starting from a realistic nucleon-nucleon interaction
within the framework of the Green's function approach. The emphasis is focused
on the correlations induced by excitation modes at low energies described
within a model-space of shell-model configurations including states up to the
shell. Cross sections for the -wave quasi-hole transitions at low
missing energies are presented and compared with the most recent experimental
data. In the case of the so-called perpendicular kinematics the reduced cross
section derived in DWIA shows an enhancement at high missing momenta as
compared to the PWIA result. Furthermore the cross sections for the - and
-wave quasi-hole transitions are presented and compared to available data at
low missing momenta. Also in these cases, which cannot be described in a model
without correlations, a good agreement with the experiment is obtained.Comment: 12 pages, LaTeX, 4 figures include
Large-space shell-model calculations for light nuclei
An effective two-body interaction is constructed from a new Reid-like
potential for a large no-core space consisting of six major shells and is used
to generate the shell-model properties for light nuclei from =2 to 6. (For
practical reasons, the model space is partially truncated for =6.) Binding
energies and other physical observables are calculated and compare favorably
with experiment.Comment: prepared using LaTex, 21 manuscript pages, no figure
Charge-independent effective interactions for shell-model studies in the space
The matrix elements of the effective Hamiltonian in the
space are determined by a least-square fit to the energies of
477 levels of nuclei with and . The
results of the calculation are found to be in better agreement with experiment
than those obtained with previously determined interactions
Determination of dipole polarization effects in Li-7 and Li-11
The structure of Li, Li and Li nuclei is investigated in a
model space which includes all configurations with oscillator energy up to
above the ground state configuration. The energy spectra and
electromagnetic properties of the low-lying states are determined with various
two-body interactions, which are derived from the Bonn potential. The results
of these shell-model calculations depend on the strength of the tensor
component contained in the NN interaction and also on the treatment of the
Dirac spinors for the nucleons in the nuclear medium. In addition the
calculation determines the {\it dipole polarizability} of Li and Li
caused from virtual excitations to the positive parity states of these
nuclei. It is demonstrated that the BAGEL scheme provides a very powerful tool
to consider contributions from virtual excitations up to large energies.Comment: 26 pages LaTeX, 8 figure