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  • 1
    Electronic Resource
    Electronic Resource
    Nuclear Halos (1995)
    Palo Alto, Calif. : Annual Reviews
    Annual Review of Nuclear and Particle Science 45 (1995), S. 591-634 
    Details
    ISSN: 0163-8998
    Source: Annual Reviews Electronic Back Volume Collection 1932-2001ff
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1146/annurev.ns.45.120195.003111
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Three-Body Systems with Square-Well Potentials in L = 0 States (1997)
    Springer
    Few body systems 22 (1997), S. 193-237 
    Details
    ISSN: 1432-5411
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract. The angular part of the Faddeev equations is solved analytically for s-states in case of two-body square-well potentials. The results are, still analytically, generalized to arbitrary short-range potentials for both small and large distances. We consider systems with three identical bosons, three non-identical particles, and two identical spin- fermions plus a third particle with arbitrary spin. The angular wave functions are in general linear combinations of trigonometric and exponential functions. The Efimov conditions are obtained at large distances. General properties and applications to short-range potentials are discussed. Gaussian potentials are used for illustrations. The results are useful for numerical calculations, where, for example, large distances can be treated analytically and matched to the numerical solutions at smaller distances. The saving in computational efforts could be substantial.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s006010050060
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  • 3
    Electronic Resource
    Electronic Resource
    Structure and Occurrence of Three-Body Halos in Two Dimensions (1999)
    Springer
    Few body systems 27 (1999), S. 15-55 
    Details
    ISSN: 1432-5411
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract.  The quantum-mechanical three-body problem is reformulated in two dimensions by use of hyperspherical coordinates and an adiabatic expansion of the Faddeev equations. The effective radial potentials are calculated and their large-distance asymptotic behavior is derived analytically for short-range two-body interactions. Energies and wave functions are computed numerically for various potentials. An infinite series of Efimov states does not exist in two dimensions. Borromean systems, i.e. bound three-body systems without bound binary subsystems, can only appear when a short-range repulsive barrier at finite distance is present in the two-body interaction. The corresponding Borromean state is never spatially extended. For a system of three weakly interacting identical bosons we find two bound states with both binding energies proportional to the two-body binding energy. In the limit of small binding these states are spatially located at the very large distances characterized by the scattering length. Their properties are universal and independent of the details of the potential. We compare throughout with the corresponding properties in three dimensions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s006010050121
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    Paper (German National Licenses)
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