High-spin level structure and Ground-state phase transition in the odd-mass 103−109Rh isotopes in the framework of exactly solvable sdg interacting boson–fermion model

Ghapanvari, M.; Ghorashi, A.H.; Ranjbar, Z.; Jafarizadeh, M. A.

doi:10.1016/j.nuclphysa.2018.01.009

Cited by 7 publications

(4 citation statements)

References 54 publications

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“…Evidence of quantum phase transitions in odd systems were reported in recent works [27][28][29][30][31][32][33][34]. The experimental evidence for transition from spherical to the γ-unstable shapes in odd-mass 127−137 Ba and 101−109 Rh, and 123−135 Xe nuclei was presented in Refs.…”

Section: Discussionmentioning

confidence: 82%

“…The experimental evidence for transition from spherical to the γ-unstable shapes in odd-mass 127−137 Ba and 101−109 Rh, and 123−135 Xe nuclei was presented in Refs. [27,28,32] and analyzed by calculating their nuclear properties, such as B(E2) values and two-neutron separation energies, within the IBFM model for the U BF (5)-O BF (6) transition along the isotopic chain. The signatures of the quantum shape phase transition in odd-mass 129−137 Ba, 129−137 La, 127−135 Xe, and 127−135 Cs nuclei in the A ≈ 130 mass region were studied by taking into account their bosonic cores 128−136 Ba for 129−137 Ba, 129−137 La, and 126−134 Xe [30,31].…”

Section: Discussionmentioning

confidence: 99%

“…We would like to mention that other relevant contributions to the topic of shape phase transitions in odd-even nuclei have been presented in the last 15 years in Refs. [10,[21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

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Review of Shape Phase Transition Studies for Bose-Fermi Systems: The Effect of the Odd-Particle on the Bosonic Core

et al. 2021

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The quantum phase transition studies we have done during the last few years for odd-even systems are reviewed. The focus is on the quantum shape phase transition in Bose-Fermi systems. They are studied within the Interacting Boson-Fermion Model (IBFM). The geometry is included in this model by using the intrinsic frame formalism based on the concept of coherent states. First, the critical point symmetries E(5/4) and E(5/12) are summarized. E(5/4) describes the case of a single j=3/2 particle coupled to a bosonic core that undergoes a transition from spherical to γ-unstable. E(5/12) is an extension of E(5/4) that describes the multi-j case (j=1/2,3/2,5/2) along the same transitional path. Both, E(5/4) and E(5/12), are formulated in a geometrical context using the Bohr Hamiltonian. Similar situations can be studied within the IBFM considering the transitional path from UBF(5) to OBF(6). Such studies are also presented. No critical points have been proposed for other paths in odd-even systems as, for instance, the transition from spherical to axially deformed shapes. However, the study of such shape phase transition can be done easily within the IBFM considering the path from UBF(5) (spherical) to SUBF(3) (axial deformed). Thus, in a second part, this study is presented for the multi-j case. Energy levels and potential energy surfaces obtained within the intrinsic frame formalism of the IBFM Hamiltonian are discussed. Finally, our recent works within the IBFM for a single-j fermion coupled to a bosonic core that performs different shape phase transitional paths are reviewed. All significant paths in the model space are studied: from spherical to γ-unstable shape, from spherical to axially deformed (prolate and oblate) shapes, and from prolate to oblate shape passing through the γ-unstable shape. The aim of these applications is to understand the effect of the coupled fermion on the core when moving along a given transitional path and how the coupled fermion modifies the bosonic core around the critical points.

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Section: Discussionmentioning

confidence: 82%

Section: Discussionmentioning

confidence: 99%

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Review of Shape Phase Transition Studies for Bose-Fermi Systems: The Effect of the Odd-Particle on the Bosonic Core

et al. 2021

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“…A number of recent papers have concentrated on experimental evidences of QPT in odd-even nuclei [141,142,143,144,145,146,147,148]. The spherical to γ-unstable shape phase transition has been The spherical to axially-deformed quantum shape phase transition is studied in Ref.…”

Section: Recent Experimental and Theoretical Studiesmentioning

confidence: 99%

Quantum phase transitions in algebraic and collective models of nuclear structure

Fortunato

2021

Progress in Particle and Nuclear Physics

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Nuclear structure and phase transition of odd-odd Cu isotopes: A neutron-proton interacting boson-fermion-fermion model calculation

et al. 2020

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High-spin level structure and Ground-state phase transition in the odd-mass 103−109Rh isotopes in the framework of exactly solvable sdg interacting boson–fermion model

Cited by 7 publications

References 54 publications

Review of Shape Phase Transition Studies for Bose-Fermi Systems: The Effect of the Odd-Particle on the Bosonic Core

Review of Shape Phase Transition Studies for Bose-Fermi Systems: The Effect of the Odd-Particle on the Bosonic Core

Quantum phase transitions in algebraic and collective models of nuclear structure

Nuclear structure and phase transition of odd-odd Cu isotopes: A neutron-proton interacting boson-fermion-fermion model calculation

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