Coupling to the continuous spectrum and HFB approximation

Details Coupling to the continuous spectrum and HFB approximation Coupling to the continuous spectrum and HFB approximation

2002-03-29

arxiv.org/abs/nucl-th/0203079v1

Nucl.Phys. A708 (2002) 205-225

Physics

Nuclear Physics

Nuclear Theory

24 pages, 20 figures

Scientific paper

We propose a new method to solve the Hartree-Fock-Bogoliubov equations for weakly bound nuclei whose purpose is to improve the treatment of the continuum when a finite range two-body interaction is used. We replace the traditional expansion on a discrete harmonic oscillator basis by a mixed eigenfunction expansion associated with a potential that explicitely includes a continuous spectrum. We overcome the problem of continuous spectrum discretization by using a resonance expansion.

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