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Related papers: Symmetry and shape coexistence in 10Be

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Rotational bands are commonplace in the spectra of atomic nuclei. Inspired by early descriptions of these bands by quadrupole deformations of a liquid drop, Elliott constructed a discrete nucleon representations of $\mathrm{SU}(3)$ from…

Nuclear Theory · Physics 2021-07-07 Ryan Zbikowski , Calvin W. Johnson , Anna E. McCoy , Mark A. Caprio , Patrick J. Fasano

A realization of the approximation of the SU(3) leading representation with the microscopic Hamiltonian and a nucleon-nucleon interaction is presented in detail. An effective Hamiltonian reproducing results of calculations with some known…

Nuclear Theory · Physics 2015-06-26 G. F. Filippov , K. Kato , S. V. Korennov , Yu. A. Lashko

The spectrum of 12Be exhibits exotic features, e.g., an intruder ground state and shape coexistence, normally associated with the breakdown of a shell closure. While previous phenomenological treatments indicated the ground state has…

Nuclear Theory · Physics 2024-02-21 Anna E. McCoy , Mark A. Caprio , Pieter Maris , Patrick J. Fasano

The emergence of triaxiality in the low-lying collective bands of $^{166}$Er is systematically explored within the SU3-IBM. In this framework, SU(3) higher-order interactions are included, which enable the descriptions of various quadrupole…

Nuclear Theory · Physics 2026-04-07 Chunxiao Zhou , Xue Shang , Tao Wang

The triaxial deformation in $^{10}$Be is investigated using a microscopic $\alpha+\alpha+n+n$ model. The states of two valence neutrons are classified based on the molecular-orbit (MO) model, and the $\pi$-orbit is introduced about the axis…

Nuclear Theory · Physics 2016-09-08 N. Itagaki , S. Hirose , T. Otsuka , S. Okabe , K. Ikeda

The nuclear quadrupole collective states at low excitation energies are described in a novel, fully quantum mechanical and systematic manner as compared to traditional pictures initiated by Aage Bohr. The ellipsoidal shapes are shown to be…

Nuclear Theory · Physics 2025-10-07 Takaharu Otsuka

By taking the particle triaxial-rotor model with variable moment of inertia, we investigate the energy spectra, the deformations and the single particle configurations of the nuclei $^{183,185,187}$Tl systemically. The calculated energy…

Nuclear Theory · Physics 2014-11-18 Guo-Jie Chen , Yu-xin Liu , Hui-chao Song , Hui Cao

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…

Rotational bands have been observed to emerge in ab initio no-core configuration interaction (NCCI) calculations for p-shell nuclei, as evidenced by rotational patterns for excitation energies, electromagnetic moments, and electromagnetic…

Nuclear Theory · Physics 2015-09-02 M. A. Caprio , P. Maris , J. P. Vary , R. Smith

The lowest six rotational bands have been studied in the particle-rotor model with the particle-hole configuration $\pi h^1_{11/2}\otimes\nu h^{-1}_{11/2}$ and different triaxiality parameter $\gamma$. Both constant and spin-dependent…

Nuclear Theory · Physics 2010-12-28 Q. B. Chen , J. M. Yao , S. Q. Zhang , B. Qi

Ab initio theory describes nuclei from a fully microscopic formulation, with no presupposition of collective degrees of freedom, yet signatures of clustering and rotation nonetheless arise. We can therefore look to ab initio theory for an…

Nuclear Theory · Physics 2019-12-24 M. A. Caprio , P. J. Fasano , A. E. McCoy , P. Maris , J. P. Vary

We consider several variants of SU(3) partial dynamical symmetry in relation to quadrupole shapes in nuclei. Explicit construction of Hamiltonians with such property is presented in the framework of the interacting boson model (IBM),…

Nuclear Theory · Physics 2020-10-26 A. Leviatan

A collective vector-boson model with broken SU(3) symmetry, in which the ground state band and the lowest $\gamma$ band belong to the same irreducible representation but are non-degenerate, is applied to several deformed even-even nuclei.…

Nuclear Theory · Physics 2009-09-25 N. Minkov , S. B. Drenska , P. P. Raychev , R. P. Roussev , D. Bonatsos

The possibility of the appearance of the C$_{4}$ symmetry in the rotational bands is studied within the particle-rotor model. Allowing for a slight triaxiality of the rotor it is shown that the lowest states of the system for a sufficiently…

Nuclear Theory · Physics 2007-05-23 P. Magierski

The rotational behaviour of T=0 and T=1 bands in the odd-odd N=Z nucleus 62Ga is studied theoretically using the spherical shell model (laboratory frame) and the cranked Nilsson-Strutinsky model (intrinsic frame). Both models give a good…

Nuclear Theory · Physics 2009-11-06 A. Juodagalvis , S. Aberg

The emergence of rotational bands is observed in no-core configuration interaction (NCCI) calculations for the Be isotopes (7<=A<=12), as evidenced by rotational patterns for excitation energies, electromagnetic moments, and electromagnetic…

Nuclear Theory · Physics 2015-02-06 P. Maris , M. A. Caprio , J. P. Vary

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

Several new bands have been identified in 130Ba, among which there is one with band-head spin 8+. Its properties are in agreement with the Fermi-aligned \nu h11/2^2 , 7/2+[523] \otimes 9/2-[514] Nilsson configuration. This is the first…

We study the shape coexistence in the nucleus $^{28}$Si with the nuclear shell model using numerical diagonalizations complemented with variational calculations based on the projected generator-coordinate method. The theoretical electric…

Recent experiments have confirmed the existence of rotational bands in the A \~ 110 mass region with very extended shapes lying between super- and hyper-deformation. Using the projected shell model, we make a first attempt to describe…

Nuclear Theory · Physics 2009-11-07 Ching-Tsai Lee , Yang Sun , Jing-ye Zhang , Mike Guidry , Cheng-Li Wu
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