Abstract
Working with the Wigner transform of the one-body density matrix from the time evolution of the nuclear mean field, we derive a semi-classical theory of nuclear collective motions. The interpretation of the collective Hamiltonian is supported by a classical variational derivation of the theory with an adiabatic condition in the coupling between collective and intrinsic degrees of freedom. A Lagrangian formulation shows that under this condition the collective motion is without friction terms. A practical way to use the variational approach to determine the collective Hamiltonian is discussed. For a rotating system we show that it is possible to get moments of inertia remarkably different from the rigid values predicted from the deformed harmonic-oscillator model, with a self-consistent equilibrium condition.
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