Three-Nucleon Problem with Separable Potentials

Three Nucleon Problem with Separable Potentials

Problem with Separable Potentials

The low energy three nucleon problem with two particle separable potentials is solved. The formalism of Faddeev in recasting the three body equations into Fredholm form and subsequent angular momentum reductions are carried out. Upon searching for a bound state two poles of the amplitude are found. Upon further examination one of the poles is found to have a residue of the wrong sign. This diff...

Three-body Faddeev Calculation for Li with Separable Potentials

Recent experiments with radioactive beams have permitted the study of properties of nuclei close to the neutron drip line, that is, close to the stability line for decay through neutron emission. These nuclei have been shown to possess neutron halos characterized by exceptionally large radii and narrow momentum distributions of the decay fragments in break-up experiments [1-2]. Among these nucl...

Momentum and coordinate space three-nucleon potentials.

In this paper we give explicit formulae in momentum and coordinate space for the threenucleon potentials due to ρ and π meson exchange, derived from off-mass-shell meson-nucleon scattering amplitudes which are constrained by the symmetries of QCD and by the experimental data. Those potentials have already been applied to nuclear matter calculations. Here we display additional terms which appear...

Shell - model calculations with modern nucleon - nucleon potentials

We report on a study of neutron-rich even-mass Te isotopes in terms of the shell model employing a realistic effective interaction derived from the CD-Bonn nucleon-nucleon potential. The strong short-range repulsion of the latter is renormalized by constructing a smooth low-momentum potential , V low−k , that is used directly as input for the calculation of the effective interaction. In this pa...