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  • 1985-1989  (2)
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Year
  • 1
    Electronic Resource
    Electronic Resource
    Faddeev-Yakubovsky theory for four-body systems with three-body forces and its one-dimensional integral equations from the hyperspherical-harmonics expansion in momentum space (1988)
    Springer
    Few body systems 4 (1988), S. 89-101 
    Details
    ISSN: 1432-5411
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The generalized Faddeev-Yakubovsky equation is derived for the four-body system where three-body forces are included. There result twenty-two coupled equations which, in the case of four identical spinless particles, can be reduced to three. In addition, by using the hyperspherical-harmonics expansion in momentum space, as suggested by Dzhibuti and his collaborators, and the Raynal-Revai transformation, it is possible to write these as one-dimensional coupled integral equations. Numerical solutions are straightforward and, for sample potentials, suggest relatively fast convergence in the number of harmonics required. Results obtained so far offer fresh hope that this method may provide a means for quick and accurate computation of four-body scattering quantities.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01076331
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    The hyperspherical-harmonics expansion method and the integral-equation approach to solving the few-body problem in momentum space (1988)
    Springer
    Few body systems 5 (1988), S. 31-43 
    Details
    ISSN: 1432-5411
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The Faddeev and Faddeev-Yakubovsky equations for three- and four-body systems are solved by applying the hyperspherical-harmonics expansion to them in momentum space. This coupling of two popular approaches to the few-body problem together with the use of the so-called Raynal-Revai transformation, which relates hyperspherical functions, allows the few-body equations to be written as one-dimensional coupled integral equations. Numerical solutions for these are achieved through standard matrix methods; these are made straightforward, because a second transformation renders potential multipoles easily calculable. For sample potentials and a restricted size of matrix in each case, the binding energies extracted match those previously obtained in solving the Schrödinger equation through the hyperspherical-harmonics expansion in coordinate space.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01080471
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    Paper (German National Licenses)
    Fulltext
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