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.