Research Interests
(click
here for list of publications)
- Developing methods
to find a better solution of the
nuclear pairing problem. Addressing issues of particle number conservation,
weak pairing limits and pairing near the continuum. Developed exact pairing
(EP) solution. Studying nuclear properties near the neutron drip line using
self-consistent Hartree-Fock+EP. Investigating the properties of the nuclear
pairing Hamiltonian and level statistics, pair vibrations, chaos and
regularities from pairing.
- Studying of regular
features in Fermi and Bose systems with random
interactions. Geometric chaoticity, dominance of spin zero and maximum
spin ground states, interplay of statistical and collective behavior.
- Soft collective mode in nuclear
systems and phase transitions.
Derivation of the effective macroscopic Hamiltonian from the microscopic interactions of
nucleons.
- Study of pion production in high
energy heavy ion reactions via mechanisms involving
dynamical chiral symmetry breaking and the formation of squeezed states.
Identification and properties of the condensed pion states and resulting particle
multiplicities.
- Pion production in heavy ion
collisions near absolute threshold, Pionic fusion and related reactions.
- The effects of model space
truncation on the eigenvalues of realistic many-body Hamiltonians (``exponential
convergence'').
- Coupling of photons to a soft
pionic mode in the nuclear medium.