Exactly-solvable coupled-channel potential models of atom-atom magnetic Feshbach resonances from supersymmetric quantum mechanics
| dc.creator | Pupasov, Andrey M. | |
| dc.creator | Samsonov, Boris F. | |
| dc.creator | Sparenberg, Jean-Marc | |
| dc.date | 2007-09-04 | |
| dc.date.accessioned | 2026-07-07T09:18:07Z | |
| dc.date.available | 2026-07-07T09:18:07Z | |
| dc.description | Starting from a system of $N$ radial Schrödinger equations with a vanishing potential and finite threshold differences between the channels, a coupled $N \times N$ exactly-solvable potential model is obtained with the help of a single non-conservative supersymmetric transformation. The obtained potential matrix, which subsumes a result obtained in the literature, has a compact analytical form, as well as its Jost matrix. It depends on $N (N+1)/2$ unconstrained parameters and on one upper-bounded parameter, the factorization energy. A detailed study of the model is done for the $2\times 2$ case: a geometrical analysis of the zeros of the Jost-matrix determinant shows that the model has 0, 1 or 2 bound states, and 0 or 1 resonance; the potential parameters are explicitly expressed in terms of its bound-state energies, of its resonance energy and width, or of the open-channel scattering length, which solves schematic inverse problems. As a first physical application, exactly-solvable $2\times 2$ atom-atom interaction potentials are constructed, for cases where a magnetic Feshbach resonance interplays with a bound or virtual state close to threshold, which results in a large background scattering length. | |
| dc.description | 19 pages, 15 figures | |
| dc.identifier | https://arxiv.org/abs/0709.0343 | |
| dc.identifier | http://arxiv.org/abs/0709.0343 | |
| dc.identifier | Phys. Rev. A 77, 012724 (2008) (reduced version) | |
| dc.identifier | doi:10.1103/PhysRevA.77.012724 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153913 | |
| dc.subject | Quantum Physics | |
| dc.title | Exactly-solvable coupled-channel potential models of atom-atom magnetic Feshbach resonances from supersymmetric quantum mechanics | |
| dc.type | text |