[show abstract][hide abstract] ABSTRACT: A stability method is used to assess possible values of interspecies scattering lengths a_12 in two-component Bose-Einstein condensates described within the Gross-Pitaevskii approximation. The technique, based on a recent stability analysis of solitonic excitations in two-component Bose-Einstein condensates, is applied to ninety combinations of atomic alkali pairs with given singlet and triplet intraspecies scattering lengths as input parameters. Results obtained for values of a_12 are in a reasonable agreement with the few ones available in the literature and with those obtained from a Painleve analysis of the coupled Gross-Pitaevskii equations.
Physics of Condensed Matter 11/2004; · 1.53 Impact Factor
[show abstract][hide abstract] ABSTRACT: The modified Newton-Sabatier method is extended to the inverse scattering problem for coupled channels at fixed energy. The coupled Schrodinger equations are assumed to depend on a potential matrix which does not couple states with different orbital angular momenta. We present applications of our method to S-matrices calculated with potential matrices of Woods-Saxon type. In the case of charged particles the corresponding S-matrix with the asymptotic Coulomb potential is transformed to the S-matrix with an asymptotic constant potential. The resulting S-matrix then serves as input for the inverse scattering problem of neutral particles. PACS numbers: 03.65.Nk, 24.10-i, 25.70-z 1