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On the basis of the adiabatic self-consistent collective coordinate method, we develop an efficient microscopic method of deriving the five-dimensional quadrupole collective Hamiltonian and illustrate its usefulness by applying it to the…

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 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…

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

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

The spherical-to-prolate shape transition in neutron-rich Cr isotopes from N = 34 to 42 is studied by solving the collective Schr\"odinger equation for the five-dimensional quadrupole collective Hamiltonian. The collective potential and…

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

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

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

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

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

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

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

Nuclear Theory · Physics 2023-12-07 J. Xiang , Z. P. Li , T. Nikšić , D. Vretenar , W. H. Long , X. Y. Wu

Low-energy quadrupole collective states in even-even tellurium (Te) isotopes are studied using the interacting boson model with configuration mixing. The corresponding Hamiltonian is determined by means of the microscopic nuclear structure…

Nuclear Theory · Physics 2026-03-11 Kosuke Nomura

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…

Neutron-deficient krypton isotopes are of particular interest due to the coexistence of oblate and prolate shapes in low-lying states and the transition of ground-state from one dominate shape to another as a function of neutron number. A…

Nuclear Theory · Physics 2013-05-08 Y. Fu , H. Mei , J. Xiang , Z. P. Li , J. M. Yao , J. Meng

An interacting boson model Hamiltonian determined from Hartree-Fock-Bogoliubov calculations with the new microscopic Gogny energy density functional D1M, is applied to the spectroscopic analysis of neutron-rich Yb, Hf, W, Os and Pt isotopes…

Nuclear Theory · Physics 2015-05-27 K. Nomura , T. Otsuka , R. Rodriguez-Guzman , L. M. Robledo , P. Sarriguren

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…

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

Shape transitions and shape coexistence in the $^{70-98}$Kr region are studied in a unified view with state-of-the-art beyond self-consistent mean field methods based on the Gogny D1S interaction. Beyond mean field effects are taken into…

Nuclear Theory · Physics 2015-06-22 Tomás R. Rodríguez
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