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Nuclei in the $A\approx100$ region exhibit intricate shape-evolution and configuration crossing signatures. Exploring both even-even and their adjacent odd-mass nuclei gives further insight on the emergence of deformation and shape-phase…

Nuclear Theory · Physics 2024-09-04 N. Gavrielov

We investigate the evolution of structure in the zirconium isotopes where one of the most complex situations encountered in nuclear physics occurs. We demonstrate the role of two concurrent types of quantum phase transitions, sharing a…

Nuclear Theory · Physics 2020-01-08 N. Gavrielov , A. Leviatan , F. Iachello

Quantum phase transitions (QPTs) in odd-mass Nb isotopes are investigated in the framework of the interacting boson-fermion model with configuration mixing. A quantum analysis reveals a Type I QPT (gradual shape-evolution within the…

Nuclear Theory · Physics 2025-11-27 A. Leviatan

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 Zirconium (Z = 40) isotopic chain has attracted interest for more than four decades. The abrupt lowering of the energy of the first $2^+$ state and the increase in the transition strength B(E2; $2_1^\rightarrow 0_1^+$ going from…

The zirconium isotopes with $A=$ 92$-$110 have one of the most complicated evolution of structure in the nuclear chart. In order to understand the structural evolution of these isotopes, we carry a detailed calculation in a definite…

Nuclear Theory · Physics 2022-01-19 N. Gavrielov , A. Leviatan , F. Iachello

Quantum shape-phase transitions in odd-even nuclei are investigated in the framework of the interacting boson-fermion model. Classical and quantum analysis show that the presence of the odd fermion strongly influences the location and…

Nuclear Theory · Physics 2011-10-05 A. Leviatan , D. Petrellis , F. Iachello

Background: Zr region is characterized by very rapid changes in the ground state structure of the nuclei. In particular, the onset of deformation when passing from $^{98}$Zr to $^{100}$Zr is one of the fastest ever observed in the nuclear…

Nuclear Theory · Physics 2020-12-30 J. E. García-Ramos , K. Heyde

Spectroscopic properties that characterize shape phase transitions in neutron-rich odd-A Zr isotopes are investigated using the framework of nuclear density functional theory and particle-core coupling. The interacting-boson Hamiltonian of…

Nuclear Theory · Physics 2021-01-01 K. Nomura , T. Nikšić , 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 mass region with A~100 and Z~40 is known to experience a sudden onset of deformation. The presence of the subshell closure $Z=40$ makes feasible to create particle-hole excitations at a moderate excitation energy and, therefore, likely…

Nuclear Theory · Physics 2019-10-30 J. E. Garcia-Ramos , K. Heyde

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

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

Quantum phase transitions between competing equilibrium shapes of nuclei with an odd number of nucleons are explored using a microscopic framework of nuclear energy density functionals and a particle-boson core coupling model. The boson…

Nuclear Theory · Physics 2017-07-12 K. Nomura , T. Nikšić , D. Vretenar

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

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

Very recently the atomic masses of neutron-rich Zr isotopes, from $^{96}$Zr to $^{104}$Zr, have been measured with high precision. Using a schematic Interacting Boson Model (IBM) Hamiltonian, the evolution from spherical to deformed shapes…

Nuclear Theory · Physics 2009-11-10 J. E. Garcia-Ramos , K. Heyde , R. Fossion , V. Hellemans , S. De Baerdemacker

The rapid shape change in Zr isotopes near neutron number $N$=60 is identified to be caused by type II shell evolution associated with massive proton excitations to its $0g_{9/2}$ orbit, and is shown to be a quantum phase transition. Monte…

Nuclear Theory · Physics 2016-10-26 Tomoaki Togashi , Yusuke Tsunoda , Takaharu Otsuka , Noritaka Shimizu

We introduce the notion of intertwined quantum phase transitions (IQPTs), for which a crossing of two configurations coexists with a pronounced shape-evolution of each configuration. A detailed analysis in the framework of the interacting…

Nuclear Theory · Physics 2019-12-09 N. Gavrielov , A. Leviatan , F. Iachello

We explore the situation of intertwined quantum phase transitions (IQPTs), for which a QPT involving a crossing of two configurations is accompanied by a shape evolution of each configuration with its own separate QPT. We demonstrate the…

Nuclear Theory · Physics 2019-06-26 N. Gavrielov , A. Leviatan , F. Iachello
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