2004/08/27 by Henni Ouerdane, H. Ouerdane, M. J. Jamieson
Physics and Astronomy · #Advanced Chemical Physics Studies #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #physics.atom-ph
paper · pdf · doi:10.1103/physreva.70.022712
published as Phys. Rev. A 70, 022712 (2004) · 7 pages in two-column format, including 3 figures
openalex publication_date 2004/08/27 · arxiv created 2005/09/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show how the scattering phase shift, the s-wave scattering length, and the p-wave scattering volume can be obtained from Riccati equations derived in variable phase theory. We find general expressions that provide upper and lower bounds for the scattering length and the scattering volume. We show how, in the framework of the variable phase method, Levinson's theorem yields the number of bound states supported by a potential. We report results from a study of the heteronuclear alkali-metal dimers NaRb and LiRb. We consider ab initio molecular potentials for the X\phantom\rule0.2em0ex1\ensuremathΣ+ and a\phantom\rule0.2em0ex3\ensuremathΣ+ states of both dimers and compare and discuss results obtained from experimentally based X\phantom\rule0.2em0ex1\ensuremathΣ+ and a\phantom\rule0.2em0ex3\ensuremathΣ+ potentials of NaRb. We explore the mass dependence of the scattering data by considering all isotopomers and we calculate the numbers of bound states supported by the molecular potentials for each isotopomer.