PHENOMENOLOGICAL ANALYSIS OF THE OBLATE-PROLATE SYMMETRY BREAKING IN TRIAXIAL DEFORMATION DYNAMICS

From a viewpoint of oblate-prolate symmetry and its breaking, we propose a simple model based on the quadrupole collective Hamiltonian to study dynamics of triaxial deformation in shape coexistence phenomena. The numerical results suggest that the oblate-prolate symmetry breaking in the rotational moments of inertia can play an important role for the oblate-prolate shape coexistence as well as that in the collective potential.

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A Model Analysis of Triaxial Deformation Dynamics in Oblate-Prolate Shape Coexistence Phenomena

Progress of Theoretical Physics ◽

10.1143/ptp.123.129 ◽

2010 ◽

Vol 123 (1) ◽

pp. 129-155 ◽

Cited By ~ 8

Author(s):

K. Sato ◽

N. Hinohara ◽

T. Nakatsukasa ◽

M. Matsuo ◽

K. Matsuyanagi

Keyword(s):

Model Analysis ◽

Shape Coexistence ◽

Triaxial Deformation ◽

Prolate Shape ◽

Deformation Dynamics

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MICROSCOPIC APPROACH TO ADIABATIC LARGE-AMPLITUDE QUADRUPOLE COLLECTIVE DYNAMICS IN Se ISOTOPES

Modern Physics Letters A ◽

10.1142/s0217732310000356 ◽

2010 ◽

Vol 25 (21n23) ◽

pp. 1796-1799 ◽

Cited By ~ 4

Author(s):

NOBUO HINOHARA ◽

KOICHI SATO ◽

TAKASHI NAKATSUKASA ◽

MASAYUKI MATSUO

Keyword(s):

Large Amplitude ◽

Shape Coexistence ◽

Microscopic Approach ◽

Microscopic Method ◽

Coordinate Method ◽

Prolate Shape ◽

Anharmonic Vibrations ◽

Self Consistent ◽

Collective Coordinate ◽

Collective Hamiltonian

We develop an efficient microscopic method of deriving the five-dimensional quadrupole collective Hamiltonian on the basis of the adiabatic self-consistent collective coordinate method. We illustrate its usefulness by applying it to the oblate-prolate shape coexistence/mixing phenomena and anharmonic vibrations in Se isotopes.

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Isospin-symmetry breaking and shape coexistence in A∼70 analogs

Journal of Physics Conference Series ◽

10.1088/1742-6596/724/1/012038 ◽

2016 ◽

Vol 724 ◽

pp. 012038 ◽

Cited By ~ 1

Author(s):

A. Petrovici

Keyword(s):

Symmetry Breaking ◽

Isospin Symmetry ◽

Shape Coexistence ◽

Isospin Symmetry Breaking

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Calculations of the decay transitions of the modified Pöschl–Teller potential model via Bohr Hamiltonian technique

International Journal of Modern Physics E ◽

10.1142/s0218301317500732 ◽

2017 ◽

Vol 26 (11) ◽

pp. 1750073 ◽

Cited By ~ 4

Author(s):

Nahid Soheibi ◽

Majid Hamzavi ◽

Mahdi Eshghi ◽

Sameer M. Ikhdair

Keyword(s):

Experimental Data ◽

Ground State ◽

Potential Model ◽

Electric Quadrupole ◽

Numerical Results ◽

Transition Rates ◽

Collective Hamiltonian

We calculate the eigenvalues and their corresponding eigenfunctions of the Bohr’s collective Hamiltonian with the help of the modified Pöschl–Teller (MPT) potential model within [Formula: see text]-unstable structure. Our numerical results for the ground state (g.s.) [Formula: see text] and [Formula: see text] band heads, together with the electric quadrupole [Formula: see text] transition rates, are displayed and compared with the available experimental data.

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Nuclear shapes: Quest for triaxiality in 86Ge and the shape of 98Zr

EPJ Web of Conferences ◽

10.1051/epjconf/201817802013 ◽

2018 ◽

Vol 178 ◽

pp. 02013 ◽

Cited By ~ 2

Author(s):

V. Werner ◽

M. Lettmann ◽

C. Lizarazo ◽

W. Witt ◽

D. Cline ◽

...

Keyword(s):

Phase Transition ◽

Nuclear Structure ◽

Shape Coexistence ◽

Shell Closure ◽

Structural Effects ◽

Triaxial Deformation ◽

Rich Variety ◽

Shell Closures ◽

Shape Phase Transition ◽

Neutron Shell Closure

The region of neutron-rich nuclei above the N = 50 magic neutron shell closure encompasses a rich variety of nuclear structure, especially shapeevolutionary phenomena. This can be attributed to the complexity of sub-shell closures, their appearance and disappearance in the region, such as the N = 56 sub shell or Z = 40 for protons. Structural effects reach from a shape phase transition in the Zr isotopes, over shape coexistence between spherical, prolate, and oblate shapes, to possibly rigid triaxial deformation. Recent experiments in this region and their main physics viewpoints are summarized.

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