Shape phase transition and shape coexistence in the Bose-Fermi system

Dong, Wenting; Jiang, Hebin

doi:10.1051/epjconf/201817805004

Cited by 3 publications

(1 citation statement)

References 11 publications

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“…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%

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: Introductionmentioning

confidence: 99%

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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Unexpected transitional paths in the prolate to oblate shape phase transitions for Bose–Fermi systems

et al. 2021

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Positive-parity states and electromagnetic transitions of odd-A Pr and Ce isotopes

Mahdi

Al-Khudair

2020

Int. J. Mod. Phys. E

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Energy levels and electromagnetic transition probabilities of odd-mass [Formula: see text] and [Formula: see text] isotopes have been calculated using the interacting boson fermion model. The even–even [Formula: see text] isotopes have been used as the cores. In the model space, the bosons have angular momentum, [Formula: see text] ([Formula: see text]-boson) and [Formula: see text] ([Formula: see text]-boson) have been considered, while the nine protons for [Formula: see text] and 19–25 neutrons for [Formula: see text] are allowed to occupy the [Formula: see text] and [Formula: see text] single particle orbitals. The quasi-particle energies and occupation probabilities have been obtained by solving the BCS equation. According to the model space, the wave function for low-lying states has been investigated. The calculated results are in good agreement with the available experimental data.

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Shape phase transition and shape coexistence in the Bose-Fermi system

Abstract: Abstract.A classical analysis of shape phase transition and shape coexistence in oddeven nuclei has been carried within the interacting boson-fermion model. The results indicate that shape coexistence can be taken as a signature of shape phase transition in odd-even nuclei.

Cited by 3 publications

References 11 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

Unexpected transitional paths in the prolate to oblate shape phase transitions for Bose–Fermi systems

Positive-parity states and electromagnetic transitions of odd-A Pr and Ce isotopes

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