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Hydrodynamic Model Wavefunctions in Intrinsic Coordinates and Their Application to the Structure of Even-Even Nuclei

机译:内禀坐标系中的水动力模型波函数及其在偶偶核结构中的应用

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A closed expression is presented for intrinsic-coordinate ( beta , gamma , theta/sub i/) eigenfunctions of the hydrodynamic, quadrupole-vibration Hamiltonian of A. Bohr. These functions are used as an expansion basis for the treatment of more general collective Hamiltonians. Two classes of such Hamiltonians are considered. In each the potential energy term of the Bohr Hamiltonian, 1/2 C beta exp 2 , was replaced with a more general function of the shape coordinates, V( beta , gamma ). The potential of Gneuss and Greiner (1) is used to demonstrate the soundness of the calculational techniques, and to illustrate convergence properties of calculated energies. Potentials possessing a single minimum on 0 less than or equal to gamma less than or equal to 60 exp 0 are considered through the study of a quadratic-potential (QP) Hamiltonian. The smooth development from spherical to asymmetrically deformed nuclear shapes is investigated by systematically varying the parameters beta sub 0 and C/sub gamma /. Model energies and E2 transition rates are traced during this process. The QP model is then applied to exp 106 Pd, exp 166 Er, exp 182 W, exp 122 Te, and exp 186 exp 188 exp 190 exp 192 Os. Low-energy gamma vibrations appear to play a prominent role in the latter five nuclei, and the QP model offers a better accounting of experimental spectra than does the model of Davydov and Chaban (2). 74 references. (ERA citation 04:024869)

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