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The coexistence of various structures, such as diverse shapes and cluster structures, is a fundamental property of atomic nuclei. In neutron-rich nuclei, a core$+n$ structure can compete with nuclear deformation due to the small neutron…

[Background] $\beta$-decay half-life is sensitive to the shell structure near the Fermi levels. Nuclear deformation thus impacts the $\beta$-decay properties. [Purpose] A first-order shape-phase transition in neutron-rich Zr isotopes is…

Nuclear Theory · Physics 2023-09-19 Kenichi Yoshida , Yifei Niu , Futoshi Minato

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

Total-Routhian-Surface calculations have been performed to investigate the shape evolutions of $A\sim80$ nuclei, $^{80-84}$Zr, $^{76-80}$Sr and $^{84,86}$Mo. Shape coexistences of spherical, prolate and oblate deformations have been found…

Nuclear Theory · Physics 2015-06-18 S. J. Zheng , F. R. Xu , S. F. Shen , H. L. Liu , R. Wyss

We introduce a new Bose-Fermi framework for studying spectral properties and quantum phase transitions (QPTs) in odd-mass nuclei, in the presence of configuration mixing. A detailed analysis of odd-mass Nb isotopes discloses the effects of…

Nuclear Theory · Physics 2022-12-07 Noam Gavrielov , Amiram Leviatan , Francesco Iachello

In this contribution, the shape coexistence phenomenon near the proton sub-shell closure at Z=40 is analyzed. Particular emphasis is placed on extracting the nuclear deformation values by examining experimental B(E2) transition rates and…

Nuclear shape transition and oblate-prolate coexistence in $N=Z$ nuclei are investigated within the configuration space ($2p_{3/2}$, $1f_{5/2}$, $2p_{1/2}$, and $1g_{9/2}$). We perform shell model calculations for $^{60}$Zn, $^{64}$Ge, and…

Nuclear Theory · Physics 2009-11-10 K. Kaneko , M. Hasegawa , T. Mizusaki

Nuclei in the $Z\!\approx\!40,N\!\approx\!60$ region have one of the most complicated structural evolution across the nuclear chart, with coexisting shapes arising from different mixed configurations. In such a region, it is difficult to…

Nuclear Theory · Physics 2023-10-03 N. Gavrielov

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

A quantitative analysis of the evolution of nuclear shapes and shape phase transitions, including regions of short-lived nuclei that are becoming accessible in experiments at radioactive-beam facilities, necessitate accurate modeling of the…

Nuclear Theory · Physics 2016-02-17 Zhipan Li , Tamara Niksic , Dario Vretenar

The evolution of shapes and low-energy shape coexistence is analyzed in neutron-deficient Nd and Sm nuclei, using a five-dimensional quadrupole collective Hamiltonian (5DCH). Deformation energy surfaces, calculated with the relativistic…

Nuclear Theory · Physics 2018-12-05 J. Xiang , Z. P. Li , W. H. Long , T. Nikši\' c , D. Vretenar

A detailed analysis of odd-mass Nb isotopes, in the framework of the interacting boson-fermion model with configuration mixing, discloses the effects of an abrupt crossing of states in normal and intruder configurations (Type~II QPT), on…

Nuclear Theory · Physics 2025-06-30 A. Leviatan , N. Gavrielov , F. Iachello

The study of the structure of odd-mass nuclei in regions characterized by the interplay of multiple particle-hole configurations represents a major challenge in nuclear structure physics. The odd-mass niobium isotopes ($Z = 41$), located…

Nuclear Theory · Physics 2026-04-01 Esperanza Maya-Barbecho , José-Enrique García-Ramos

Quantum computing allows for the manipulation of highly correlated states whose properties quickly go beyond the capacity of any classical method to calculate. Thus one natural problem which could lend itself to quantum advantage is the…

Quantum Physics · Physics 2024-12-19 Kevin Lively , Tim Bode , Jochen Szangolies , Jian-Xin Zhu , Benedikt Fauseweh

The low-lying states in 106Zr and 108Zr have been investigated by means of {\beta}-{\gamma} and isomer spectroscopy at the RI beam factory, respectively. A new isomer with a half-life of 620\pm150 ns has been identified in 108Zr. For the…

We present a comprehensive analysis of the emerging order and chaos and enduring symmetries, accompanying a generic (high-barrier) first-order quantum phase transition (QPT). The interacting boson model Hamiltonian employed, describes a QPT…

Nuclear Theory · Physics 2014-10-01 M. Macek , A. Leviatan

Quantum phase transitions between competing ground-state shapes of atomic nuclei with an odd number of protons or neutrons are investigated in a microscopic framework based on nuclear energy density functional theory and the…

Nuclear Theory · Physics 2017-02-17 K. Nomura , T. Nikšić , D. Vretenar

In a rapidly changing shape phase region, the presence of shape coexistence and its possible impact on the decay modes and half$-$lives, has been explored in astrophysically interesting Mo and Ru isotopes, in an extensive study within the…

Nuclear Theory · Physics 2024-09-16 Mamta Aggarwal , G. Saxena , Pranali Parab

Systematics of B(E2) transition rates connecting the first excited 0+ state to the first excited 2+ state of the ground state band in even-even nuclei indicates that shape coexistence of the ground state band and the first excited K=0 band…

Nuclear Theory · Physics 2023-09-29 Dennis Bonatsos , Andriana Martinou , S. K. Peroulis , T. J. Mertzimekis , N. Minkov

We present a possibility that the system with Z = 20, N = 40, 60Ca, has a large deformation, even though it has both proton and neutron magic numbers, symbolizing a spherical nucleus. This large deformation corresponds to the so-called…

Nuclear Theory · Physics 2016-04-19 Chang-Bum Moon