@phdthesis{oai:tsukuba.repo.nii.ac.jp:00008363,
 author = {今川, 博人 and Imagawa, Hiroto},
 month = {},
 note = {The nuclear mean-field theory has been one of the central theoretical tools in the nuclear physics. Especially self-consistent mean-field(SCMF) approach with effective　interactions such as Skyrme Hartree-Fock method has succeeded in describing the ground state properties of nuclei in a wide area of nuclear chart. Based on the success of the SCMF for the static properties, the SCMF method is attracting more and more attention in investigations of excited properties of nuclei. In this thesis, we propose efficient formulation for describing the low-lying states of deformed nuclei within a framework of the self-consistent Skyrme Hartree-Fock (SHF) plus random phase approximation (RPA). We consider only the case of even-even nuclei, which are spherical, axial and triaxial deformed. And we do not consider the pairing correlations in this thesis. We study the self-consistent RPA equation in the mixed configuration space of coordinates and hole orbitals. First, we derive the RPA equation in the mixed configuration space of coordinates and hole orbitals from the RPA equation in the particle-hole configuration space. We explain the treatment of the spurious state in the case of the RPA in the mixed configuration space. Secondly, we also derive the RPA equation in the mixed configuration space as the small amplitude limit of the time-dependent Hartree-Fock equation in the coordinate representation. This derivation is useful for studying the properties of the RPA equation under time-reversal.  ･･･, 2003, Includes bibliographical references},
 school = {筑波大学, University of Tsukuba},
 title = {Self-consistent Skyrme-Hartree-Fock plus random phase approximation calculation of nuclear low-lying states in the mesh representation},
 year = {2003}
}