dorsal/arxiv
View SchemaLow-energy three-body dynamics in binary quantum gases
| Authors | O. I. Kartavtsev, A. V. Malykh |
|---|---|
| Categories | |
| ArXiv ID | physics/0610261 |
| URL | https://arxiv.org/abs/physics/0610261 |
| DOI | 10.1088/0953-4075/40/7/011 |
| Journal | J. Phys. B: At. Mol. Opt. Phys. 40 (2007) 1429-1441 |
Abstract
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 $m/m_1 \ge \lambda_1 \approx 8.17260$ and $m/m_1 \ge \lambda_2 \approx 12.91743$, respectively. For $m/m_1 \alt \lambda_1$ and $m/m_1 \alt \lambda_2$, 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.
{
"annotation_id": "db7dedd3-e710-401b-a528-bc8e4e81dce6",
"date_created": "2026-03-02T18:01:14.523000Z",
"date_modified": "2026-03-02T18:01:14.523000Z",
"file_hash": "98cc78460f2dce498164700c1ccfe37fe89e6d829bfdfc7c4b43f892db660d01",
"private": false,
"record": {
"abstract": "The universal three-body dynamics in ultra-cold binary Fermi and Fermi-Bose\nmixtures is studied. Two identical fermions of the mass $m$ and a particle of\nthe mass $m_1$ with the zero-range two-body interaction in the states of the\ntotal angular momentum L=1 are considered. Using the boundary condition model\nfor the s-wave interaction of different particles, both eigenvalue and\nscattering problems are treated by solving hyper-radial equations, whose terms\nare derived analytically. The dependencies of the three-body binding energies\non the mass ratio $m/m_1$ for the positive two-body scattering length are\ncalculated; it is shown that the ground and excited states arise at $m/m_1 \\ge\n\\lambda_1 \\approx 8.17260$ and $m/m_1 \\ge \\lambda_2 \\approx 12.91743$,\nrespectively. For $m/m_1 \\alt \\lambda_1$ and $m/m_1 \\alt \\lambda_2$, the\nrelevant bound states turn to narrow resonances, whose positions and widths are\ncalculated. The 2 + 1 elastic scattering and the three-body recombination near\nthe three-body threshold are studied and it is shown that a two-hump structure\nin the mass-ratio dependencies of the cross sections is connected with arising\nof the bound states.",
"arxiv_id": "physics/0610261",
"authors": [
"O. I. Kartavtsev",
"A. V. Malykh"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1088/0953-4075/40/7/011",
"journal_ref": "J. Phys. B: At. Mol. Opt. Phys. 40 (2007) 1429-1441",
"title": "Low-energy three-body dynamics in binary quantum gases",
"url": "https://arxiv.org/abs/physics/0610261"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "51b88d71-0d49-49bc-96aa-f59c7c23e5c2",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}