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Phys. Rev. Lett. 96, 013201 (2006) [4 pages]

Pseudopotential Method for Higher Partial Wave Scattering

Zbigniew Idziaszek1,2 and Tommaso Calarco1,3
1CNR-Istituto Nazionale per la Fisica della Materia, BEC-INFM Trento, I-38050 Povo (TN), Italy
2Centrum Fizyki Teoretycznej, Polska Akademia Nauk, 02-668 Warsaw, Poland
3European Centre for Theoretical Studies in Nuclear Physics and Related Areas, I-38050 Villazzano (TN), Italy

Received 20 July 2005; published 5 January 2006

We present a zero-range pseudopotential applicable for all partial wave interactions between neutral atoms. For p and d waves, we derive effective pseudopotentials, which are useful for problems involving anisotropic external potentials. Finally, we consider two nontrivial applications of the p-wave pseudopotential: we solve analytically the problem of two interacting spin-polarized fermions confined in a harmonic trap, and we analyze the scattering of p-wave interacting particles in a quasi-two-dimensional system.

©2006 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.96.013201
DOI: 10.1103/PhysRevLett.96.013201
PACS: 34.50.-s; 32.80.Pj; 34.20.Cf
  • 34.50.-s
    Scattering of atoms and molecules
  • 32.80.Pj
    Optical cooling of atoms; trapping
  • 34.20.Cf
    Interatomic potentials and forces
  • YEAR: 2006
KEYWORDS: pseudopotential methods, atom-atom collisions, fermion systems, intermolecular mechanics

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