Dynamics of classical scattering in the system of fermions is studied. Themodel is based on the coherent state representation and the equations of motionfor fermions are derived from the time-dependent variational principle. It isfound that the antisymmetrization due to the Pauli exclusion principle, maylead to hyperbolic chaotic scattering even in the absence of interactionbetween particles. At low bombarding energies, the same effect leads to thescreening of the hard, short-ranged component in the two particle interactionand thus regularizes the dynamics.
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