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  • 1
    ISSN: 1434-601X
    Keywords: 24.10.Cn ; 24.10.−i
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A selfconsistent quantal two-body theory as obtained from the density-matrix hierarchy is solved numerically for the first time for a one-dimensional system modelling α+ α collisions at 80 MeV/u. Various truncation schemes for the two-body correlation function are investigated in order to explore the convergence properties of the theory. We find that perturbative treatments with respect to two-body processes do not yield reliable results in the energy regime investigated and that the nuclear stopping power sensitively depends on the order of the two-body correlations considered.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1434-601X
    Keywords: 21.60.Ev ; 24.10.Cn ; 25.70-z
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Within a selfconsistent description for the one- and two-body density matrices collective variables are introduced via scaling diabatic states. Equations of collective motion coupled to a collision integral for the single-particle occupation probabilities are derived from the randomness of the two-body interaction matrix elements and from an additional time smoothing procedure. For a linear approximation to the time-dependence of the single-particle energies the collision term conserves energy all by itself, i.e. the time-smoothed time derivative of the correlation energy vanishes.
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 1434-601X
    Keywords: 24.10.Cn ; 24.10.-i
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We derive a transport equation for the description of non-relativistic heavy-ion collisions from time-dependentG-matrix theory. The approximations introduced are investigated within a modified Lipkin model on theA-body level and by one-dimensional calculations for colliding finite fermion systems on the two-body level. Both approximations are found to hold reasonably well. The classical limit of these equations in phase space yields a transport equation of the Vlasov-Uehling-Uhlenbeck type without double counting of interactions and uniquely determines the time-dependent mean field as well as an in-medium nucleon-nucleon cross-section on the basis of the sameG-matrix.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 337 (1990), S. 1-10 
    ISSN: 1434-601X
    Keywords: 05.60.+w ; 11.10.Qr ; 24.10.Cn ; 25.70.-z
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We present an extension of relativistic mean-field theories within the framework of quantum correlation dynamics starting from an effective hadronic Lagrangian density with minimal coupling between baryons and mesons. When neglecting retardation for the meson fields the conventional meson-exchange picture is obtained for the baryon-baryon interaction. The resulting equations of motion for the baryonic one-body density matrix and two-body correlation spinor matrix provide a nonperturbative framework for the description of relativistic heavy-ion collisions. Adopting semiclassical limits for the Wigner transform of the one-body density matrix a covariant transport equation is derived in the limit of time-dependent Dirac-Brueckner theory. It describes the mean-field dynamics including momentum-dependent potentials as well as in-medium nucleon-nucleon collisions on the basis of the same meson fields without double counting of interactions.
    Type of Medium: Electronic Resource
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  • 5
    ISSN: 1434-601X
    Keywords: 21.60.−n ; 24.10.Cn
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A method for finding the ground state of a many-body system, which is consistent with the truncation scheme used in the time-dependent density-matrix formalism of Wang and Cassing, is presented and applied to the Lipkin model. It is found that the method gives better ground states than the Hartree-Fock approximation. However, they significantly differ from the exact ground states.
    Type of Medium: Electronic Resource
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