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The phenomena of shape evolution and shape coexistence in even-even $^{88-126}$Zr and $^{88-126}$Mo isotopes is studied by employing covariant density functional theory (CDFT) with density-dependent point coupling parameter sets DD-PCX and…

Nuclear Theory · Physics 2021-02-24 Pankaj Kumar , Virender Thakur , Smriti Thakur , Vikesh Kumar , Shashi K. Dhiman

We present a detailed analysis of spectra and other observables for the entire chain of Zr isotopes, from neutron number 52 to 70, in the framework of the interacting boson model with configuration mixing. The results suggest a remarkable…

Nuclear Theory · Physics 2019-12-24 N. Gavrielov , A. Leviatan , F. Iachello

Compared with even-even nuclear systems, the dynamical structure of low-lying excited states in odd-odd nuclei poses significantly greater theoretical challenges. The interacting boson fermion fermion model provides an effective framework…

Nuclear Theory · Physics 2026-03-17 Xiao Tong Li , Xi Deng , Yu Zhang

Background Even-even isotopes of Mo ($Z=42$) and Ru ($Z=44$) are nuclei close to the subshell closure at $Z=40$, where shape coexistence plays a significant role. As a result, their spectroscopic properties are expected to resemble those of…

Nuclear Theory · Physics 2023-09-15 E. Maya-Barbecho , S. Baid , J. M. Arias , J. E. García-Ramos

The even-even $^{90-100}$Sr isotopes are identified as a region of intertwined quantum phase transitions (IQPTs). In this scenario, a quantum phase transition involving the crossing of normal and intruder configurations is accompanied by a…

Nuclear Theory · Physics 2026-05-25 Noam Gavrielov

Neutron-rich nuclei around $Z\sim40$ exhibit multiple shape transitions. This region shows one of the sharpest transitions in the nuclear chart, from a spherical vibrator at $N=58$ to a strongly deformed prolate shape at $N=60$, with…

The algebraic framework of the interacting boson model with configuration mixing is employed to demonstrate the occurrence of intertwined quantum phase transitions (IQPTs) in the $_{40}$Zr isotopes with neutron number 52-70. The detailed…

Nuclear Theory · Physics 2023-03-09 N. Gavrielov

Microscopic signatures of nuclear ground-state shape phase transitions in odd-mass Eu isotopes are explored starting from excitation spectra and collective wave functions obtained by diagonalization of a core-quasiparticle coupling…

Nuclear Theory · Physics 2018-03-07 S. Quan , Z. P. Li , D. Vretenar , J. Meng

The positive-parity states of even-even Xe nuclei are investigated within the framework of modified O(6) limit of the interacting boson model (IBM1). The effective three-body interaction [QQQ] where Q is the IBM O(6) quadrupole operator is…

Nuclear Theory · Physics 2022-11-03 W. B. Elsharkawy , Abeer Mera , M. Kotb , A. M. Khalaf

In this paper, we have considered the interplay between phase transitions and configuration mixing of intruder excitations in the 118-128Te isotopes. A transitional interacting boson model Hamiltonian in both IBM-1 and IBM-2 versions which…

Nuclear Theory · Physics 2016-03-11 H. Sabri , Z. Jahangiri , M. A. Mohammadi

The goal of this contribution is to analyze the connection between shape coexistence and quantum phase transition, two seemingly unrelated phenomena that share common aspects, namely, the rapid change in the ground state structure along an…

Nuclear Theory · Physics 2018-06-13 J. E. García-Ramos , K. Heyde

Some binding-energy-related quantities serving as effective order parameters have been used to analyze the shape phase transition in the odd Sm nuclei. It is found that the signals of phase transition in the odd Sm nuclei are greatly…

Nuclear Theory · Physics 2015-10-28 Yu Zhang , Xin Guan , Yin Wang , Yan Zuo , Li-na Bao , Feng Pan

The present study focuses on investigating the shape evolution of neutron-rich even-even Osmium (Os) transitional nuclei within the range of neutron number N = 82 to N = 190. The investigation is conducted using density-dependent…

Nuclear Theory · Physics 2024-05-16 Usuf Rahaman , M. Ikram , Ishfaq A. Rather , Anisul Ain Usmani

In these lecture notes I present a short review of nuclear shapes, shape coexistence and shape-phase transitions in the interacting boson model. In a study with random interactions it is shown that the appearance of regular spectral…

Nuclear Theory · Physics 2017-11-02 Roelof Bijker

The phase transition around the critical point in the evolution from spherical to deformed gamma-unstable shapes is investigated in odd nuclei within the Interacting Boson Fermion Model. We consider the particular case of an odd j=3/2…

Nuclear Theory · Physics 2008-11-26 C. E. Alonso , J. M. Arias , L. Fortunato , A. Vitturi

The evolution of quadrupole and octupole shapes in Th isotopes is studied in the framework of nuclear Density Functional Theory. Constrained energy maps and observables calculated with microscopic collective Hamiltonians indicate the…

Nuclear Theory · Physics 2015-06-15 Z. P. Li , B. Y. Song , J. M. Yao , D. Vretenar , J. Meng

The deformation energy of the even-even nuclei of the Cerium isotopic chain is investigated by means of the Macroscopic-Microscopic method with a semi-classical shell correction. We consider axially symmetric shapes. Binding energy and two…

Nuclear Theory · Physics 2015-06-04 B. Mohammed-Azizi , A. Helmaoui , D. E. Medjadi

We report first precision mass measurements of the $1/2^-$ isomeric and $9/2^+$ ground states of $^{101}$In. The determined isomeric excitation energy continues a smooth trend of odd-$A$ indium isotopes up to the immediate vicinity of…

In this contribution we study the even-even Sr isotopes considering the influence of particle-hole intruder states. We find that the rapid onset of deformation at A $=98$ and onwards can be explained by the crossing of regular and intruder…

Nuclear Theory · Physics 2023-10-31 Esperanza Maya-Barbecho , José-Enrique García-Ramos

We explore two-particle transfer reactions as a unique probe of the occurence of shape coexistence in shape phase transitions. The (t,p) reactions to the ground state and to excited $0^+$ states are calculated for the isotope chain of…

Nuclear Theory · Physics 2020-03-02 J. A. Lay , A. Vitturi , L. Fortunato , Y. Tsunoda , T. Togashi , T. Otsuka