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  • 1995-1999  (3)
  • 1970-1974  (1)
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  • 1
    Digitale Medien
    Digitale Medien
    Chaotic Scattering in the Restricted Three‐Body Problem II. Small mass parameters (1998)
    Springer
    Celestial mechanics and dynamical astronomy 71 (1998), S. 167-189 
    Details
    ISSN: 1572-9478
    Schlagwort(e): restricted three‐body problem ; chaotic phenomena ; scattering
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract We study the scattering motion of the planar restricted three‐body problem for small mass parameters μ. We consider the symmetric periodic orbits of this system with μ = 0 that collide with the singularity together with the circular and parabolic solutions of the Kepler problem. These divide the parameter space in a natural way and characterize the main features of the scattering problem for small non‐vanishing μ. Indeed, continuation of these orbits yields the primitive periodic orbits of the system for small μ. For different regions of the parameter space, we present scattering functions and discuss the structure of the chaotic saddle. We show that for μ 〈 μc and any Jacobi integral there exist departures from hyperbolicity due to regions of stable motion in phase space. Numerical bounds for μc are given.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1023/A:1008335232601
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  • 2
    Digitale Medien
    Digitale Medien
    Chaotic scattering in the restricted three-body problem I. The Copenhagen problem (1996)
    Springer
    Celestial mechanics and dynamical astronomy 66 (1996), S. 203-228 
    Details
    ISSN: 1572-9478
    Schlagwort(e): Restricted three-body problem ; chaotic phenomena ; scattering
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract We consider the scattering motion of the planar restricted three-body problem with two equal masses on a circular orbit. Using the methods of chaotic scattering we present results on the structure of scattering functions. Their connection with primitive periodic orbits and the underlying chaotic saddle are studied. Numerical evidence is presented which suggests that in some intervals of the Jacobi integral the system is hyperbolic. The Smale horseshoe found there is built from a countable infinite number of primitive periodic orbits, where the parabolic orbits play a fundamental role.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00054965
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  • 3
    Digitale Medien
    Digitale Medien
    Relativistic antihydrogen production (1998)
    Springer
    The European physical journal 5 (1998), S. 287-291 
    Details
    ISSN: 1434-6052
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract. Antihydrogen has recently been produced in collisions of antiprotons with ions. While passing through the Coulomb field of a nucleus an antiproton will create an electron-positron pair. In rare cases the positron is bound by the antiproton and an antihydrogen atom produced. We calculate the production of relativistic antihydrogen atoms by bound-free pair production. The cross section is calculated in the semiclassical approximation (SCA), or equivalently in the plane wave Born approximation (PWBA) using exact Dirac-Coulomb wave functions. We compare our calculations to the equivalent photon approximation (EPA).
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/s100529800847
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  • 4
    Digitale Medien
    Digitale Medien
    On the theory of stripping reactions into the continuum (1974)
    Springer
    The European physical journal 267 (1974), S. 103-109 
    Details
    ISSN: 1434-601X
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract A formulation of stripping reactions into the continuum is given taking the(d, p)-reaction as a specific example. We use the DWBA and the assumption that contributions from the nuclear interior are negligible. Under these assumptions we show that the cross section can be split into a “distortion matrix element” and a term depending on the neutron target interaction only through the phase shifts of the corresponding elastic neutron scattering. The interference with the “pure break-up” process is discussed. The connection between stripping to bound and unbound states in the limit of zero binding energy is established. A comparison with recent experimental results is given, where the “distortion matrix elements” are calculated, for the sake of simplicity, in the “Butler approximation”.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01668636
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