Low-energy three-body dynamics in binary quantum gases
| dc.creator | Kartavtsev, O. I. | |
| dc.creator | Malykh, A. V. | |
| dc.date | 2006-10-28 | |
| dc.date.accessioned | 2026-07-07T07:54:09Z | |
| dc.date.available | 2026-07-07T07:54:09Z | |
| dc.description | The universal three-body dynamics in ultra-cold binary Fermi and Fermi-Bose mixtures is studied. Two identical fermions of the mass $m$ and a particle of the mass $m_1$ with the zero-range two-body interaction in the states of the total angular momentum L=1 are considered. Using the boundary condition model for the s-wave interaction of different particles, both eigenvalue and scattering problems are treated by solving hyper-radial equations, whose terms are derived analytically. The dependencies of the three-body binding energies on the mass ratio $m/m_1$ for the positive two-body scattering length are calculated; it is shown that the ground and excited states arise at $m/m_1 \ge λ_1 \approx 8.17260$ and $m/m_1 \ge λ_2 \approx 12.91743$, respectively. For $m/m_1 \alt λ_1$ and $m/m_1 \alt λ_2$, the relevant bound states turn to narrow resonances, whose positions and widths are calculated. The 2 + 1 elastic scattering and the three-body recombination near the three-body threshold are studied and it is shown that a two-hump structure in the mass-ratio dependencies of the cross sections is connected with arising of the bound states. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/physics/0610261 | |
| dc.identifier | http://arxiv.org/abs/physics/0610261 | |
| dc.identifier | J. Phys. B: At. Mol. Opt. Phys. 40 (2007) 1429-1441 | |
| dc.identifier | doi:10.1088/0953-4075/40/7/011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126495 | |
| dc.subject | Atomic Physics | |
| dc.title | Low-energy three-body dynamics in binary quantum gases | |
| dc.type | text |