Edgar Teran

Axially symmetric Hartree-Fock-Bogoliubov Calculations for Nuclei Near the Drip-Lines

Department of Physics and Astronomy,Vanderbilt University, Nashville, TN 37235, USA(Dated: June 25, 2011)Nuclei far from stability are studied by solving the Hartree-Fock-Bogoliubov (HFB) equations,which describe the self-consistent mean field theory with pairing interaction. Calculations for even-even nuclei are carried out on a two-dimensional axially symmetric lattice, in coordinate space. Thequasiparticle continuum wavefunctions are considered for energies up to 60 MeV. Nuclei near thedrip lines have a strong coupling between weakly bound states and the particle continuum. Thismethod gives a proper description of the ground state properties of such nuclei. High accuracy isachieved by representing the operators and wavefunctions using the technique of basis-splines. Thedetailed representation of the HFB equations in cylindrical coordinates is discussed. Calculationsof observables for nuclei near the neutron drip line are presented to demonstrate the reliability ofthe method.

Hartree-Fock-Bogoliubov calculations in coordinate space: Neutron-rich sulfur, zirconium, cerium, and samarium isotopes

Using the Hartree-Fock-Bogoliubov mean field theory in coordinate space, we investigate ground state properties of the sulfur isotopes from the line of stability up to the two-neutron dripline s 34˛52 Sd. In particular, we calculate two-neutron separation energies, quadrupole moments, and rms radii for protons and neutrons. Evidence for shape coexistence is found in the very neutron-rich sulfur isotopes. We compare our calculations with results from relativistic mean field theory and with available experimental data. We also study the properties of neutron-rich zirconium s 102,104 Zrd, cerium s 152 Ced, and samarium s 158,160 Smd isotopes which

Theoretical description of Hartree-Fock calculations under axial symmetry: First results on tin isotopes

We present the first set of results of solving the Hartree-Fock-Bogoliubov equations, which describe the self-consistent mean field theory with pairing interaction. Calculations for even-even nuclei are carried out on a two-dimensional axially symmetric lattice, in coordinate space. An important aspect of our method is the proper representation of the quasi-particle continuum wavefunctions, which are considered for energies up to 60 MeV. This stage is essential for a proper description of nuclei near the drip Unes, due to the strong coupling between weakly bound states and the particle continuum for such nuclei. High accuracy is achieved by representing the operators and wavefunctions using the technique of basis-splines. Calculations for Sn isotopes are presented to demonstrate the reliability of the method.