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| ## Publications [#60196] of Peter K. Haff
- Haff, P.K. and Wilets, L.,
*Microscopic theory of nuclear collective motion*, Phys. Rev. C, Nucl. Phys. (USA), vol. 7 no. 3 (1973), pp. 951 - 68 [951] (last updated on 2007/04/10)**Abstract:** A generalization of the Hill-Wheeler generator coordinate method is applied to collective deformations. The intrinsic wave function is constrained (as in constrained Hartree-Fock) to be characterized not only by a given deformation, but also by a deformation velocity. This is effected by a simple ansatz which involves operation on the singly constrained wave function by an exponentiated single-particle deformation operator containing an arbitrary function β(α), where α is the collective variable. The expectation value of the energy is minimized with respect to both β(α) and the Hill-Wheeler projection function*f*(α). This leads to an integral equation for*f*which, upon invoking the collective nature of the intrinsic states, may be approximated by a second-order differential equation in the deformation coordinate α=⟨*Q*⟩. Comments are made about the potential energy of deformation surface, which is expected to lie lower than the expectation value of the Hamiltonian**Keywords:** nuclear collective model;
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