Year: 1998
Type: article
Abstract: A one-parameter solvable model for three bosons subject to $\ensuremath{\delta}$-function attractive interactions in one dimension with periodic boundary conditions is studied. The energy levels and wave functions are classified and given explicitly in terms of three momenta. In particular, eigenstates and eigenvalues are described as functions of the model parameter $c$. Some of the states are given in terms of complex momenta and represent dimer or trimer configurations for large negative $c$. The asymptotic behavior for small and large values of the parameter, and at thresholds between real and complex momenta, is provided. The properties of the potential energy are also discussed.
Source: Physical Review A
Authors: J. G. Muga, R. F. Snider
Institution: University of British Columbia
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1987213573