Hartree-Fock and Random Phase Approximation based on correlated
realistic nucleon-nucleon potentials
The spherical Hartree-Fock model is formulated in the harmonic
oscillator basis, starting from the realistic nucleon-nucleon interactions
with explicit treatment of interaction-induced correlations via the unitary
correlation operator method (UCOM).
The binding energies, charge radii, one-body density distributions,
and single-particle energies are evaluated along the nuclide chart,
to investigate the utility of the model for a consistent
description of the nuclear ground state. It is
shown that one can improve the structure properties by extending
the model space to include the long-range correlations
(e.g. many-body perturbation theory), and by
implementing an additional
phenomenological two-body correction, which simulates
the missing three-body interactions.
For the studies of collective excitation phenomena,
the fully self-consistent random phase approximation is formulated
in the configurational
space built from the Hartree-Fock single-particle basis.
Work in collaboration with R. Roth, P. Papakonstantinou, H. Hergert, and C. Barbieri, supported by the DFG (SFB 634).
Collective excitations in the Unitary Correlation Operator Method and
relativistic QRPA studies of exotic nuclei
(PDF)
References:
N. Paar, P. Papakonstantinou, H. Hergert, and R. Roth,
"Collective excitations in the Unitary Correlation Operator Method and
relativistic QRPA studies of exotic nuclei", Physics of
Atomic Nuclei 69, 1345 (2006).
nucl-th/0506076
R. Roth, P. Papakonstantinou, N. Paar, H. Hergert, T. Neff,
and H. Feldmeier,
"Hartree-Fock and Many-Body Perturbation Theory with Correlated
Realistic NN-Interactions",
Phys. Rev. C 73, 044312 (2006).
nucl-th/0510036
N. Paar, P. Papakonstantinou, R. Roth,
and H. Hergert,
"Self-consistent description of collective excitations in the unitary
correlation operator model",
Int. J. Mod. Phys. E 15, 346 (2006).
nucl-th/0511041
N. Paar, P. Papakonstantinou, H. Hergert, and R. Roth,
"Collective multipole excitations based on correlated realistic
nucleon-nucleon interactions", Phys. Rev. C 74, 014318 (2006).
nucl-th/0601026
C. Barbieri, N. Paar, R. Roth, and P. Papakonstantinou,
"Correlation energies in the random phase approximation using realistic interactions",
submitted to Phys. Rev. Lett. (2006).nucl-th/0608011
R. Roth, H. Hergert, N. Paar, and P. Papakonstantinou,
"Nuclear structure in the UCOM framework: from realistic interactions to
collective excitations", to appear in Nucl. Phys. A (2006).nucl-th/0608018
P. Papakonstantinou, R. Roth, and N. Paar,
"Nuclear collective excitations using correlated realistic interactions:
the role of explicit RPA correlations",
submitted to Phys. Rev. C (2006).
nucl-th/0609039
Nils Paar, 2006.
