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Solvable three-boson model with attractive delta-function interactions

TitleSolvable three-boson model with attractive delta-function interactions
Publication TypeJournal Article
Year of Publication1998
AuthorsMuga, JG, Snider, RF
JournalPhysical Review A
Volume57
Pagination3317-3329
Date PublishedMay
Type of ArticleArticle
ISBN Number1050-2947
KeywordsDYNAMICS, LIPPMANN-SCHWINGER EQUATION, MANY-BODY PROBLEM, ONE DIMENSION, SCATTERING
Abstract

A one-parameter solvable model for three bosons subject to 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.

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