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We study the oblate-prolate shape mixing in the low-lying states of proton-rich Kr isotopes using the five-dimensional quadrupole collective Hamiltonian. The collective Hamiltonian is derived microscopically by means of the CHFB…

Nuclear Theory · Physics 2011-01-17 Koichi Sato , Nobuo Hinohara

Microscopic dynamics of the oblate-prolate shape coexistence/mixing phenomena in 68Se and 72Kr are studied by means of the adiabatic self-consistent collective coordinate (ASCC) method in conjunction with the pairing-plus-quadrupole (P+Q)…

Nuclear Theory · Physics 2008-11-26 Nobuo Hinohara , Takashi Nakatsukasa , Masayuki Matsuo , Kenichi Matsuyanagi

We have developed a new method for determining microscopically the fivedimensional quadrupole collective Hamiltonian, on the basis of the adiabatic self-consistent collective coordinate method. This method consists of the constrained…

The oblate-prolate shape coexisting/mixing phenomena in proton-rich 68,70,72Se are investigated by means of the adiabatic self-consistent collective coordinate (ASCC) method. The one-dimensional collective path and the collective…

Nuclear Theory · Physics 2009-07-13 Nobuo Hinohara , Takashi Nakatsukasa , Masayuki Matsuo , Kenichi Matsuyanagi

We introduce a microscopic approach to derive all the inertial functions in the five-dimensional quadrupole collective Hamiltonian. Local normal modes are evaluated on the constrained mean field in the quasiparticle random-phase…

Nuclear Theory · Physics 2015-05-27 Nobuo Hinohara , Koichi Sato , Kenichi Yoshida , Takashi Nakatsukasa , Masayuki Matsuo

We discuss the nature of the low-frequency quadrupole vibrations from small-amplitude to large-amplitude regimes. We consider full five-dimensional quadrupole dynamics including three-dimensional rotations restoring the broken symmetries as…

The adiabatic self-consistent collective coordinate (ASCC) method is applied to the pairing-plus-quadrupole (P + Q) model Hamiltonian including the quadrupole pairing, and the oblate-prolate shape coexistence phenomena in proton-rich…

Nuclear Theory · Physics 2007-09-26 Nobuo Hinohara , Takashi Nakatsukasa , Masayuki Matsuo , Kenichi Matsuyanagi

Assuming that the time-evolution of the self-consistent mean field is determined by five pairs of collective coordinate and collective momentum, we microscopically derive the collective Hamiltonian for low-frequency quadrupole modes of…

Low-lying quadrupole shape dynamics is a typical manifestation of large amplitude collective motion in finite nuclei. To describe the dynamics on a microscopic foundation, we have formulated a consistent scheme in which the Bohr collective…

Nuclear Theory · Physics 2015-06-18 M. Matsuo , N. Hinohara , K. Sato , K. Matsuyanagi , T. Nakatsukasa , K. Yoshida

The quadrupole collective Hamiltonian, based on relativistic energy density functionals, is extended to include a pairing collective coordinate. In addition to quadrupole shape vibrations and rotations, the model describes pairing…

Nuclear Theory · Physics 2020-07-01 J. Xiang , Z. P. Li , T. Niksic , D. Vretenar , W. H. Long

To discuss a possible observation of large-amplitude nuclear shape mixing by nuclear reaction, we employ a simple collective model and evaluate transition densities, with which the differential cross sections are obtained through the…

Nuclear Theory · Physics 2019-04-17 Koichi Sato , Takenori Furumoto , Yuma Kikuchi , Kazuyuki Ogata , Yukinori Sakuragi

Shape-phase transition in neutron-rich Cr isotopes around N=40 is investigated by employing the collective Hamiltonian approach. The inertial functions for large-amplitude vibration and rotation are evaluated by the local normal modes along…

Nuclear Theory · Physics 2011-06-23 Kenichi Yoshida , Nobuo Hinohara

We investigate the mixing of different shapes in the A~70 region using the adiabatic self-consistent collective method in a rotating nuclei. The calculation is done for 68^Se and 72-78^Kr which are known to show oblate-prolate shape…

Nuclear Theory · Physics 2007-05-23 Daniel Almehed , Niels R. Walet

Evolution and coexistence of shape and the related spectroscopic properties of even-even Te isotopes are investigated within the quadrupole collective model that is based on the nuclear density functional theory. By means of the constrained…

Nuclear Theory · Physics 2024-12-06 K. Suzuki , K. Nomura

Background: To describe shape fluctuations associated with large-amplitude collective motion in the quadrupole degrees of freedom, the five-dimensional collective Hamiltonian (5DCH) has been widely used. The inertial functions in the 5DCH…

Nuclear Theory · Physics 2024-06-17 Kouhei Washiyama , Nobuo Hinohara , Takashi Nakatsukasa

From a viewpoint of oblate-prolate symmetry and its breaking, we adopt the quadrupole collective Hamiltonian to study dynamics of triaxial deformation in shape coexistence phenomena. It accommodates the axially symmetric rotor model, the…

Large-amplitude collective dynamics of shape phase transition in the low-lying states of 30-36Mg is investigated by solving the five-dimensional (5D) quadrupole collective Schroedinger equation. The collective masses and potentials of the…

Low-energy structure of even-even $^{108-116}$Cd isotopes is analyzed using a collective model that is based on the nuclear density functional theory. Spectroscopic properties are computed by solving the triaxial quadrupole collective…

Nuclear Theory · Physics 2022-12-19 K. Nomura , K. E. Karakatsanis

To study shape fluctuations of nuclei in transitional regions, the collective Hamiltonian method has often been employed. We intend to construct the quadrupole collective Hamiltonian with the collective inertial functions given by the local…

Nuclear Theory · Physics 2019-01-30 Kouhei Washiyama , Takashi Nakatsukasa

Microscopic energy density functionals (EDF) have become a standard tool for nuclear structure calculations, providing an accurate global description of nuclear ground states and collective excitations. For spectroscopic applications this…

Nuclear Theory · Physics 2011-08-04 K. Nomura , T. Niksic , T. Otsuka , N. Shimizu , D. Vretenar
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