HFB calculations for nuclei far from stability

Astronomy and Astrophysics – Astrophysics

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Scientific paper

Hartree-Fock-Bogoliubov (HFB) is an appropiate theory for describing nuclei far from stability. HFB includes the pairing interaction in the self-consistent mean field theory. We present results of solving the Hartree-Fock-Bogoliubov equations for even-even nuclei on an axially symmetric lattice, in coordinate space. High accuracy is achieved by representing the operators and wavefunctions using the technique of basis-splines. An hybrid splines algorithm using the Galerkin and the Collocation methods has shown to be suitable to use in our representation of the operators and wavefunctions. The detailed representation of the HFB equations in axial symmetry is discussed. An important aspect of our method is the proper representation of the quasi-particle continuum wavefunctions. This method gives a proper description of the ground state properties for nuclei far from stability, which have a strong coupling between weakly bound states and the particle continuum. Calculations of observables for nuclei near the neutron drip line are presented.

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