**Research programs**
- Spectroscopy and Nuclear Reactions : Theory and Applications:
- Program IISN-FNRS Production and use of radioactive ions beams
- Program PAI (Pôle d'attraction Interuniversitaire UCL-KUL-ULB)
- Nuclear spectroscopy and nuclear reactions: microscopic theory and applications
of astrophysical interest
- Program SSTC/ECO: Co-operation in Science and Technology with the Central and Eastern
European countries (ULB-Russia)

**1. Nuclear spectroscopy and nuclear reactions**:

T

**heory and Applications Spectroscopy of heavy ions by the "mean field" methods**
Development of the microscopic " mean field " methods based on effective nuclear
interactions. Adjustment of the interactions and importance of the pairing correlations.
Applications to the study of nuclear spectra and of their probabilities of decays
in particular in the case of nuclei far from the stability line, neutrons rich nuclei
and superheavy nuclei. Applications to the study of high spin states, of superdeformed
bands, of fission "isomers ".

**Spectroscopy of light nuclei and nuclear reactions by the microscopic multi-clusters
models**.

These models based on the generator co-ordinate method give a simultaneous description
of the bound nuclear states, of the resonances and of the continuum. Applications
to nuclear reactions between light ions; in particular with radioactive ions. Applications
to reactions of stellar nucleosynthesis. Applications to the description of exotic
light nuclei: nuclei with "halo" of neutrons or protons.

**Heavy ions reactions and the nucleus-nucleus interaction: phenomenological models
**
Application to the elastic scattering using radioactive ion beams and highlighting
of particular effects related to their structure. Applications to the study of the
dissociation of exotic light nuclei in the presence of a Coulomb field. Potential
approach compatible with a microscopic description and applications to various nuclear
problems. Supersymmetric transformations and the inverse problem in quantum mechanics;
solutions in a one channel and in a coupled channels description of the scattering.
Construction of a potential starting from the phase shifts and determination of
the phase equivalent potentials.

**Lagrange-mesh calculations**
Applications to various problems in nuclear and atomic physics.

**2. Problems at the frontier of the nucleus in
the atom or the molecule**
- Adaptation of methods of nuclear physics to problems of atomic and molecular physics:
application to the study of vibrations of chains of molecules.
- Study of hyperfine effects in series of light isotopes.

**3. Mathematical methods in quantum Mechanics**
- Groups theory, quantum groups and quantum algebras.
- Study of exactly or quasi-exactly solvable potentials.
- Study of generalized deformed oscillators, deformation of groups and Lie algebras,
coloured algebras of Hopf, nonlinear canonical transformations.

Contact person: P. Descouvemont - pdesc@ulb.ac.be

Last updated July 28, 2009