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A classical two-body Hamiltonian model and its mean field approximation

George F. Bertsch·Thomas Papenbrock·Sanjay Reddy
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Abstract

We extend a recent billiard model of the nuclear N-body Hamiltonian to consider a finite two-body interaction. This permits a treatment of the Hamiltonian by a mean field theory, and also allows the possibility to model reactions between nuclei. The density and the mean field potential can be accurately described by a scaling function which shows the qualitative features of the liquid drop picture of the nucleus.

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George F. Bertsch, Thomas Papenbrock, Sanjay Reddy. 1999-06-17. A classical two-body Hamiltonian model and its mean field approximation. https://doi.org/10.1016/s0375-9474(99)00433-9

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