Presentamos una familia de modelos de solución exacta, que involucran la interacción de un ensamble de sistemas acoplados SU(2) o SU(1,1) con un campo bosónico. Se obtienen a partir de los modelos trigonométricos de Richardson-Gaudin, reemplazando un grado de libertad por un boson ideal. Reportamos una primer aplicacion a un sistema de átomos bosónicos y un dimer molecular

We present a family of exactly-solvable models involving the interaction of an ensemble of coupled SU(2) or SU(1,1) systems with a single bosonic field. They arise from the trigonometric Richardson-Gaudin models by replacing one SU(2) or SU(1,1) degree of freedom by an ideal boson. A first application to a system of bosonic atoms and a molecule dimer is reported.

5 pags., 3 figs. -- The work reported here is based on a talk presented by one of the authors (SP) at the XXVIIth Symposium on Nuclear Physics held in Taxco, Mexico, from 5-8 January 2004. -- PACS: 02.30.Ik; 03.75.-b; 34.50.-s; 42.50.Pq

It was supported in part by the US National Science Foundation under grant # PHY-0140036, by the Spanish DGI under grant #s BFM2003-05316-C02-01/02, and by the University of Buenos Aires under grant # X-204.

Peer reviewed