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Related papers: Triaxial rigidity of $^{166}$Er and its Bohr-model…

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A solution of the Bohr collective hamiltonian for the $\beta-$soft, $\gamma-$soft triaxial rotor with $\gamma \sim \pi/6$ is presented making use of a harmonic potential in $\gamma$ and Coulomb-like and Kratzer-like potentials in $\beta$.…

Nuclear Theory · Physics 2009-11-10 Lorenzo Fortunato

Detailed quantitative predictions are obtained for phonon and multiphonon excitations in well-deformed rotor nuclei within the geometric framework, by exact numerical diagonalization of the Bohr Hamiltonian in an SO(5) basis. Dynamical…

Nuclear Theory · Physics 2011-07-04 M. A. Caprio

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

We present a fully quantum-mechanical, microscopic, unified treatment of ground-state band and multi-phonon $\gamma$-vibrational bands using shell model diagonalization with the triaxial projected shell model. The results agree very well…

Nuclear Theory · Physics 2009-10-31 Yang Sun , Kenji Hara , Javid A. Sheikh , Jorge G. Hirsch , Victor Velázquez , Mike Guidry

The observed properties of the low-lying collective states of $^{96}$Zr are investigated within the geometrical collective model. The quadrupole-collective Bohr Hamiltonian with the potential having spherical and axially-symmetric deformed…

Nuclear Theory · Physics 2022-10-19 E. V. Mardyban , T. M. Shneidman , E. A. Kolganova , R. V. Jolos

The phenomenological classification of collective quadrupole excitations by means of the Bohr Hamiltonian is reviewed with focus on signatures for triaxility. The variants of the microscopic Bohr Hamiltonian derived by means of the…

Nuclear Theory · Physics 2015-10-28 S. Frauendorf

The energies and $B(E2)$ transitions involving the states of the ground- and $\gamma$-bands in thirty transitional and deformed nuclei are calculated using the triaxial projected shell model (TPSM) approach. Systematic good agreement with…

Nuclear Theory · Physics 2024-01-30 S. P. Rouoof , Nazira Nazir , S. Jehangir , G. H. Bhat , J. A. Sheikh , N. Rather , S. Frauendorf

A solution of the Bohr Hamiltonian appropriate for triaxial shapes, involving a Davidson potential in beta and a steep harmonic oscillator in gamma, centered around gamma=30 degrees, is developed. Analytical expressions for spectra and…

Nuclear Theory · Physics 2011-01-28 I. Yigitoglu , Dennis Bonatsos

We report on a seven-dimensional generator coordinate calculation in the two deformation parameters $\beta$ and $\gamma$ together with projection on three-dimensional angular momentum and two particle numbers for the low-lying states in…

Nuclear Theory · Physics 2014-05-07 J. M. Yao , K. Hagino , Z. P. Li , J. Meng , P. Ring

We expand the triaxial projected shell model basis to include triaxially-deformed multi-quasiparticle states. This allows us to study the yrast and gamma-vibrational bands up to high spins for both gamma-soft and well-deformed nuclei. As…

Nuclear Theory · Physics 2008-11-26 J. A. Sheikh , G. H. Bhat , Y. Sun , G. B. Vakil , R. Palit

Exact numerical diagonalization of the Bohr Hamiltonian by SU(1,1)xSO(5) methods is used to obtain detailed quantitative predictions for single-phonon and multi-phonon excitations in well-deformed rotor nuclei. Dynamical gamma deformation…

Nuclear Theory · Physics 2009-04-15 M. A. Caprio

The collective Bohr hamiltonian is solved for the soft triaxial rotor around $\gamma_0=\pi/6$ with a displaced harmonic oscillator potential in $\gamma$ and a Kratzer-like potential in $\beta$. The properties of the spectrum are outlined…

Nuclear Theory · Physics 2007-05-23 L. Fortunato , S. De Baerdemacker , K. Heyde

Recent experimental advances have made it possible to study excited structure in superheavy nuclei. The observed states have often been interpreted as quasi-particle excitations. We show that in superheavy nuclei collective vibrations…

Nuclear Theory · Physics 2008-11-26 Yang Sun , Gui-Lu Long , Falih Al-Khudair , Javid A. Sheikh

We propose an algebraic approach to elucidate the dynamic characteristics of triaxial rotor modes in nuclei by mapping a triaxial rotor Hamiltonian to the interacting boson model (IBM) one within a finite-$N$ framework. Our method unveils…

Nuclear Theory · Physics 2025-09-11 Yu Zhang , ShengNan Wang , Feng Pan , Chong Qi , J P Draayer

Evidence of strong coupling of quasiparticle excitations with gamma-vibration is shown to occur in transitional nuclei. High-spin band structures in [166,168,170,172]Er are studied by employing the recently developed multi-quasiparticle…

Nuclear Theory · Physics 2015-06-04 J. A. Sheikh , G. H. Bhat , Yan-Xin Liu , Fang-Qi Chen , Yang Sun

The triaxiality in nuclear low-lying states has attracted great interests for many years. Recently, the reduced transition probabilities for levels near the ground state in $^{110}$Ru have been measured and provided strong evidences for a…

Nuclear Theory · Physics 2018-04-18 Z. Shi , Z. P. Li

The effect of coupling between pairing and quadrupole triaxial shape vibrations on the low-energy collective states of $\gamma$-soft nuclei is investigated using a model based on the framework of nuclear energy density functionals (EDFs).…

Nuclear Theory · Physics 2021-08-23 K. Nomura , D. Vretenar , Z. P. Li , J. Xiang

The deformation parameters beta and gamma together with the two-quasiparticle excitations are taken into account, for the first time, as coordinates within a symmetry conserving (angular momentum and particle number) generator coordinate…

Nuclear Theory · Physics 2017-02-22 Fang-Qi Chen , J. Luis Egido

In the framework free triaxiality model branching ratio reduced E2-transitions probabilities are studied for the full region changes of the triaxiality parameter. The variables of quadrupole deformations $\beta_2$ and $\gamma$ are dynamic.…

Nuclear Theory · Physics 2023-10-17 M. S. Nadirbekov , O. A. Bozarov , S. N. Kudiratov

The Triaxial Projected Shell Model (TPSM) has been successful in providing a microscopic description of the energies of multi-phonon vibrational bands in deformed nuclei. We report here on an extension of the TPSM to allow, for the first…

Nuclear Theory · Physics 2007-05-23 P. Boutachkov , A. Aprahamian , Y. Sun , J. A. Sheikh , S. Frauendorf
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