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By analyzing the potential energy surface, the shape phase diagram and the energy spectrum of the nucleus in U(5) symmetry in the IBM, we propose that the U(5) symmetry with parameters $(A+B) < 0$ may be a model to describe the rotation…

Nuclear Theory · Physics 2007-05-23 Yu-xin Liu , Liang-zhu Mu , Haiqing Wei

The phase transition of nuclei to increasing angular momentum (or spin) and excitation energy is one of the most fundamental topics of nuclear structure research. The odd-N nuclei with A equal 160 are widely considered belonging to the…

Nuclear Theory · Physics 2018-01-31 H. B. Zhou , S. Huang , G. X. Dong , Z. X. Shen , H. J. Lu , L. L. Wang , X. J. Sun , F. R. Xu

The shape phase structure and its transition of the nucleus in the transitional region between the U(5) and SU(3) symmetries is restudied within the framework of coherent-state theory with angular momentum projection in IBM-1. The certain…

Nuclear Theory · Physics 2007-05-23 Liang-zhu Mu , Yu-xin Liu

Analysis of the collective structure of 0^{+} states in terms of phonon tations for great amount of nuclei is presented .It is shown that the rotational bands built on these states strongly depend on their structure. The spectrum of the…

Nuclear Theory · Physics 2007-05-23 Vladimir P. Garistov

The yrast states of transitional nuclei are described as quadrupole waves running over the nuclear surface, which we call tidal waves. In contrast to a rotor, which generates angular momentum by increasing the angular velocity at…

Nuclear Theory · Physics 2010-02-16 S. Frauendorf , Y. Gu , J. Sun

A recent analysis of experimental energy systematics suggests that all collective nuclei fall into one of three classes -- seniority, anharmonic vibrational, or rotational -- with sharp phase transitions between them. We investigate the…

Nuclear Theory · Physics 2009-10-30 R. Bijker , A. Frank , S. Pittel

The yrast states of nuclei that are spherical or weakly deformed in their ground states are described as quadrupole waves running over the nuclear surface, which we call "tidal waves". The energies and E2 transition probabilities of the…

Nuclear Theory · Physics 2011-09-12 S. Frauendorf , Y. Gu , J. Sun

Low-lying collective excitations in even-even vibrational and transitional nuclei may be described semi-classically as quadrupole running waves on the surface of the nucleus ("tidal waves"), and the observed vibrational-rotational behavior…

In order to provide a microscopic description of levels and E2 transitions in rapidly rotating nuclei with internal excitation energy up to a few MeV, use is made of a shell model which combines the cranked Nilsson mean-field and the…

Nuclear Theory · Physics 2009-10-30 M. Matsuo , T. Døssing , E. Vigezzi , R. A. Broglia , K. Yoshida

We consider the dynamical properties of a simple model of vibrational surface modes. We obtain the exact spectrum of surface excitations and discuss their dynamical features. In addition to the usually discussed localized and oscillatory…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 H. L. Calvo , H. M. Pastawski

A shape phase transition between stable octupole deformation and octupole vibrations in Th nuclei is analyzed in a microscopic framework based on nuclear density functional theory. The relativistic functional DD-PC1 is used to calculate…

Nuclear Theory · Physics 2014-02-04 K. Nomura , D. Vretenar , B. -N. Lu

Within the framework of the interacting boson model, we propose a novel algebraic scheme to describe spin-dependent structural evolutions in triaxial nuclei. Our analysis demonstrates that a triaxially to axially rotational shape phase…

Nuclear Theory · Physics 2025-08-22 Yu Zhang , Yu Xin Liu , Feng Pan , J. P. Draayer

The yrast states of even even vibrational and transitional nuclei are interpreted as a rotating condensate of interacting d-bosons. The corresponding semi-classical tidal wave concept is used for microscopic calculations of energies and E2…

Nuclear Theory · Physics 2017-08-23 S. Frauendorf

The rapid transition between spherical and $\gamma$-soft shapes in Ba and Xe nuclei in the mass region $A \geq 130$ is analyzed using excitation spectra and collective wave functions obtained by diagonalization of a five-dimensional…

Nuclear Theory · Physics 2015-03-13 Z. P. Li , T. Niksic , D. Vretenar , J. Meng

186Pt was tested in the framework of IBM-1 and the X(3) model. The results show that 186Pt is located close to the shape phase transition point, but the B(E2) values little agree with the X(3) model. The shape evolution in the yrast states…

Nuclear Experiment · Physics 2013-09-26 He Chuang-Ye , Wu Xiao-Guang , Zheng Yun , Li Cong-Bo

A model assuming coherent quadrupole-octupole vibrations and rotations is applied to describe non-yrast energy sequences with alternating parity in several even-even nuclei from different regions, namely $^{152,154}$Sm, $^{154,156,158}$Gd,…

Nuclear Theory · Physics 2012-03-09 N. Minkov , S. Drenska , M. Strecker , W. Scheid , H. Lenske

Low-energy vibrational excitations associated with the fluctuation of quadrupole deformed shapes are discussed within the frame of state-of-the-art Configuration Interaction calculations, actually performed via the Quasi-particle Vacua…

Nuclear Theory · Physics 2025-07-30 Y. Tsunoda , T. Otsuka , N. Shimizu , T. Duguet , Y. Utsuno , T. Abe

Properties of the yrast states of a system of $N$ bosons confined to a one-dimensional ring and interacting via contact forces is examined both variationally and by numerical diagonalizations. The latter allow for obtaining numerical…

Quantum Gases · Physics 2016-03-16 E. J. V. de Passos , A. F. R. de Toledo Piza

In the frame of the algebraic Riemann Rotational Model one computes the longitudinal, transverse and toroidal multipoles corresponding to the excitations of low-lying levels in the ground state band of several even-even nuclei by inelastic…

Nuclear Theory · Physics 2009-10-28 S. Misicu

The analysis of shape transitions in Nd isotopes, based on the framework of relativistic energy density functionals and restricted to axially symmetric shapes in Ref. \cite{PRL99}, is extended to the region $Z = 60$, 62, 64 with $N \approx…

Nuclear Theory · Physics 2009-12-31 Z. P. Li , T. Niksic , D. Vretenar , J. Meng , G. A. Lalazissis , P. Ring
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