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Published March 1976 | Published
Journal Article Open

One-dimensional nuclear dynamics in the time-dependent Hartree-Fock approximation


The time-dependent Hartree-Fock theory is applied to the large amplitude dynamics of slabs of spin and isospin symmetric nuclear matter. The slabs are translationally invariant in two transverse dimensions, and with the simplified effective interaction used in this work, the problem is reduced to a set of coupled nonlinear equations for time-dependent functions of a single spatial variable. By specification of appropriate initial conditions, large amplitude oscillations of a single slab, the scattering of a slab from an external potential barrier, and collisions of two slabs have been investigated. The results evidence a wide variety of dynamic phenomena, including fusion, compound nucleus formation, dissipation, strongly damped collisions, shock wave propagation, and fragmentation. The microscopic aspects of the dynamics, the relation to fluid mechanics, and the practical and conceptual problems arising from the theory are discussed in detail.

Additional Information

© 1976 by The American Physical Society. Received 14 October 1975. It is a pleasure to acknowledge the many productive discussions we have had with A. Kerman, M. Baranger, and F. Villars during the course of this work. Additional thanks are also due J. Griffen, G. Bertsch, C. Pethick, and P.J. Siemens for stimulating interactions, and to N. Glendenning for his role in organizing the 1975 Berkeley Summer Workshop at which many useful discussions took place. This work supported in part through funds provided by the U.S. Energy Research and Development Administration under Contract No. AT(11-1)-3069. [J.W.N. was an] Alfred P. Sloan Foundation Research Fellow.

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