Time-dependent Hartree-Fock calculations for <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">O</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>16</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math> + <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">O</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>16</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">Ca</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>40</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math> + <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">Ca</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>40</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math> reactions

S. E. Koonin; K. T. R. Davies; V. Maruhn-Rezwani; H. Feldmeier; S. J. Krieger; J. W. Negele

doi:10.1103/PhysRevC.15.1359

Time-dependent Hartree-Fock calculations for ${}^{16}O$ + ${}^{16}O$ and ${}^{40}{Ca}$ + ${}^{40}{Ca}$ reactions

S. E. Koonin, K. T. R. Davies, V. Maruhn-Rezwani, H. Feldmeier, S. J. Krieger, and J. W. Negele

Phys. Rev. C 15, 1359 – Published 1 April 1977

Abstract

The time-dependent Hartree-Fock approximation is applied to ${}^{16}O$ + ${}^{16}O$ and ${}^{40}{Ca}$ + ${}^{40}{Ca}$ reactions. An effective interaction which results in a local Hartree-Fock potential is used. The full time-dependent Hartree-Fock problem is reduced to two dimensions by treating the relative orbital motion of the ions in the rotating frame approximation. The detailed dynamics of the nuclear density matrix during these reactions is discussed. The deflection function, energy loss, fragment charge distribution, and ion-ion potential have been computed for several reactions and compared with available data. The physical content and limitations of our calculations are discussed.

NUCLEAR REACTIONS ${}^{16}O ({}^{12}O, x)$ and ${}^{40}O ({}^{40}O, x)$ in time-dependent Hartree-Fock approximation. Fusion and strongly damped collisions.

Received 20 September 1976

DOI:https://doi.org/10.1103/PhysRevC.15.1359

Authors & Affiliations

S. E. Koonin^*

Kellogg Radiation Laboratory, California Institute of Technology, Pasadena, California 91125

K. T. R. Davies, V. Maruhn-Rezwani, H. Feldmeier^†, and S. J. Krieger^‡

Oak Ridge National Laboratory, Oak Ridge, Tennessee 37830

J. W. Negele^§

Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02135

^*Supported in part by the National Science Foundation [MPS71-02670 A05].
^†On leave from Institut für Kernphysik, Technische Hochschule Darmstadt, Darmstadt, West Germany.
^‡Permanent address: Department of Physics, University of Illinois at Chicago Circle, Chicago, Illinois 60680.
^§Alfred P. Sloan Foundation Research Fellow.

Comments & Replies

Comparison of two-dimensional and three-dimensional time-dependent Hartree-Fock for ${}^{40}{Ca}$ + ${}^{40}{Ca}$ at $E_{lab} = 278$ MeV

H. Flocard and M. S. Weiss

Phys. Rev. C 18, 573 (1978)

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Vol. 15, Iss. 4 — April 1977

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