[en] In order to preserve all the symmetry properties for the effective collective Hamiltonian obtained with the generator coordinate method, it is necessary for the trial wave function to have proper transformation properties. The generator coordinates should then transform in the same way as the represented collective operators. Also, the center-of-mass motion should be independent of the internal motion in conformity with the invariance of the nuclear Hamiltonian with respect to space rotation and Galilean transformation

[en] The problem of overcompleteness in the generator coordinate method is generally studied. It is shown that the effective operator (ON^-1) as a whole excludes the coupling between the physical and unphysical states and the problem of overcompleteness is resolved in this sense. This conclusion is illustrated with an example of boson representations of the SU(6) group

[en] The nuclear collective motion is described as the variation of the non-Hermitian mean field, and the corresponding collective Hamiltonian is obtained

[en] The phase transition from the superfluid to normal state with an increase of the seniority number in the two-level pairing force model is studied with a boson-fermion composite representation. Criteria for identifying the phase transition with observable phase characteristics are discussed

[en] The comparison between BMM and IBM is comprehensively discussed in the spirit of transformation theory by using the generator coordinate method (GCM). Some differences existing between these two essentially equivalent models are pointed out on the phenomenological level, and the possibility of distinguishing between them is briefly discussed

[en] If the effect of α clustering due to the interaction of the excited correlated proton pair with correlated neutron pairs in medium and heavy nuclei were taken into consideration, quasiparticle energies would not be simply additive. The empirical values of the extra term δ(α) indicate that α correlations exist to a certain extent in these nuclei

[en] The reduced alpha transfer rates are studied microscopically with a schematic model. Results for ground state to ground state alpha transfer reactions are given

No abstract available

[en] The generator coordinate method approach to the dynamic group representation is discussed in general. In various cases, either in group space or in coset space, representations of the dynamic group can readily be obtained with the generator coordinate method. Boson representation is just one form of the generator coordinate method approach to the dynamic group representation. Various representations of the dynamic group are described by the generator coordinate method approach to the dynamic group representation in a unified way. Not only is the algebraic structure of generators preserved, but also conditions imposed by (a) the Pauli principle, (b) symmetry properties, (c) dynamic properties, and (d) other concrete properties of nuclear systems are well incorporated in these representations, so that the original fermion representation is faithfully realized. The generator coordinate method approach to the dynamic group representation is strictly a transformation theory from the fermion representation to continuous variable or boson representations of the dynamic group. Examples are given for showing the essence and the prospects of applications of the generator coordinate method approach to the dynamic group representation

[en] The spin-orbit contribution to the nucleus-nucleus optical potentials is calculated in an energy density formalism with nuclear density profiles determined by a self-consistent semiclassical approach. The sudden approximation is adopted in our calculation. Results both with and without exchange effects are presented and discussed