Pseudopotential in resonant regimes

Details Pseudopotential in resonant regimes Pseudopotential in resonant regimes

2005-08-04

arxiv.org/abs/cond-mat/0508120v3

Physical Review A 73 (2006) 012701

Physics

Condensed Matter

Other Condensed Matter

12 pages - 1 figure

Scientific paper

10.1103/PhysRevA.73.012701

The zero-range potential approach is extended for the description of situations where two-body scattering is resonant in arbitrary partial waves. The formalism generalizes the Fermi pseudopotential which can be used only for s-wave broad resonances. In a given channel, the interaction is described either in terms of a contact condition on the wave function or with a family of pseudopotentials. We show that it is necessary to introduce a regularized scalar product for wave functions obtained in the zero-range potential formalism (except for the Fermi pseudopotential). This metrics shows that the geometry of these Hilbert spaces depends crucially on the interaction.

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