Atom-dimer scattering for confined ultracold fermion gases

C. Mora; R. Egger; A. O. Gogolin; A. Komnik

doi:10.1103/PhysRevLett.93.170403

paper

Atom-dimer scattering for confined ultracold fermion gases

arXiv:cond-mat/0406627 · doi:10.1103/PhysRevLett.93.170403

Abstract

We solve the three-body problem of an ultracold Fermi gas with parabolic confinement length $a_{⊥}$ and 3D scattering length $a$ . On the two-body level, there is a Feshbach-type resonance at $a_{⊥} / a \approx 1.46$ , and a dimer state for arbitrary $a_{⊥} / a$ . The three-body problem is shown to be universal, an d described by the atom-dimer scattering length $a_{a d}$ and a range parameter $b_{a d}$ . In the dimer limit $a_{⊥} / a ≫ 1$ , we find a repulsive zero-range atom-dimer interaction. For $a_{⊥} / a ≪ - 1$ , however, the potential has long range, with $a_{a d} > 0$ and $b_{a d} ≫ a_{a d}$ . There is no trimer state, and despite $a_{a d} = 0$ at $a_{⊥} / a \approx 2.6$ , there is no resonance enhancement of the interaction.

arXiv comment5 pages, 2 figures; to appear in PRL (revised version)

Atom-dimer scattering for confined ultracold fermion gases

Abstract

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