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  • 1995-1999  (3)
  • 1975-1979  (4)
  • 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
    Experimental and theoretical study of the elastic break-up of the alpha particle on58Ni nuclei atE α=172.5 MeV (1979)
    Springer
    The European physical journal 293 (1979), S. 293-299 
    Details
    ISSN: 1434-601X
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract The triton-proton angular correlation function has been measured for the58Ni(α, t p)58Ni reaction leading to the ground state of the target nucleus. The obtained experimental data have been interpreted in terms of the direct break-up (fragmentation) of the alpha particle on the target nucleus potential. It is shown that the main features of the measured double differential cross section are well predicted by the DWBA theory of the break-up. The dependence of the elastic and inclusive break-up cross sections upon the fragment-target interaction potentials is discussed.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01435271
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  • 4
    Digitale Medien
    Digitale Medien
    Influence of the Mott-Schwinger interaction on the elastic scattering of protons (1976)
    Springer
    The European physical journal 278 (1976), S. 139-143 
    Details
    ISSN: 1434-601X
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract It is demonstrated that the Mott-Schwinger interaction must be taken into account when analyses of polarisation measurements in proton scattering at energies below the Coulomb barrier are to be performed with high accuracy. A treatment of the effect is worked out in perturbation theory, and the reliability of the method is demonstrated. It is shown how the resulting badly converging series for the “Mott-Schwinger amplitude” can conveniently be summed by means of Padé-approximation. Numerical results are presented for several representative cases.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01437768
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  • 5
    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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  • 6
    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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  • 7
    Digitale Medien
    Digitale Medien
    On the accuracy of the semiclassical description of reactions in the subcoulomb energy region (1975)
    Springer
    The European physical journal 274 (1975), S. 215-222 
    Details
    ISSN: 1434-601X
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract The accuracy of the semiclassical approximation for Coulomb matrix elements is discussed. The absolute values of the matrix elements are in general well approximated, but the agreement of the semiclassical phases with the exact ones is less satisfactory. Therefore, we present a modified semiclassical approximation which essentially improves the values of the phases. This modified semiclassical approximation is obtained by the introduction of a complex saddle point integration method. Since both the absolute values and the phases of the matrix elements are well reproduced by the modified semiclassical approximation, quantities depending on the phase can now also be calculated in the semiclassical manner.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01437732
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  • 8
    Digitale Medien
    Digitale Medien
    Semiclassical description of reactions at energies near the Coulomb barrier (1977)
    Springer
    The European physical journal 281 (1977), S. 391-394 
    Details
    ISSN: 1434-601X
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract The modified semiclassical approximation of Coulomb matrix elements is extended to include effects of distorting nuclear potentials in the scattering wave functions. The applicability and efficiency of the proposed semiclassical method are discussed. The advantages of this approximation are shown for a typical heavy-ion transfer reaction.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01408188
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