Effect of a fermion on quantum phase transitions in bosonic systems

Iachello, F.; Leviatan, A.; Petrellis, D.

doi:10.1016/j.physletb.2011.10.024

Cited by 40 publications

(95 citation statements)

References 33 publications

(46 reference statements)

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“…For odd-A nuclei both single-particle (unpaired fermion(s)) and collective (even-even core) degrees of freedom determine the low-energy excitations [15]. Important issues when considering QPTs in odd-mass nuclei are the influence of the unpaired fermion(s) on the location and nature of the phase transition, empirical signatures of QPTs in odd-A nuclei, and the definition and computation of order parameters [9,10]. To address these questions shape phase transitions in odd-mass systems have mainly been investigated using empirical approaches such as algebraic methods [9,10,16,17], and geometrical models [18,19].…”

Section: Introductionmentioning

confidence: 99%

Signatures of shape phase transitions in odd-mass nuclei

2016

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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 particle-plus-boson-core coupling scheme. The boson-core Hamiltonian, as well as the single-particle energies and occupation probabilities of the unpaired nucleon, are completely determined by constrained self-consistent mean-field calculations for a specific choice of the energy density functional and paring interaction, and only the strength parameters of the particle-core coupling are adjusted to reproduce selected spectroscopic properties of the odd-mass system. We apply this method to odd-A Eu and Sm isotopes with neutron number N ≈ 90, and explore the influence of the single unpaired fermion on the occurrence of a shape phase transition. Collective wave functions of low-energy states are used to compute quantities that can be related to quantum order parameters: deformations, excitation energies, E2 transition rates and separation energies, and their evolution with the control parameter (neutron number) is analysed.

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Section: Introductionmentioning

confidence: 99%

Signatures of shape phase transitions in odd-mass nuclei

2016

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“…These quantities have been recognized as qualified effective order parameters to identify the phase transitions in both eveneven and odd-A nuclei. Furthermore, these quantities only depend on the number of nucleons with abundant experimental data available [2,[4][5][6]. However, through the analysis of these quantities and their odd-even differences [25], it is observed that nearly all the odd-even differences reach their extreme values (maximum or minimum) around the critical point, which, therefore, are more sensitive and suitable to be used as effective order parameters to manifest the shape phase transition.…”

Section: The Nilsson Mean-field Plus Standard Pairing Model and Imentioning

confidence: 99%

“…Quantum phase transitions (QPTs) in nuclei have been analyzed extensively in both experiment and theory [1][2][3][4][5][6]. These studies have provided new insights and understanding of the evolution of nuclear shapes and energy level structures in transitional regions [7].…”

Section: Introductionmentioning

confidence: 99%

Ground state phase transition in the Nilsson mean-field plus standard pairing model

Guan¹,

Xu²,

Zhang³

et al. 2016

Phys. Rev. C

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The ground state phase transition in Nd, Sm and Gd isotopes is investigated by using the Nilsson mean-field plus standard pairing model based on the exact solutions obtained from the extended Heine-Stieltjes correspondence. The results of the model calculations successfully reproduce the critical phenomena observed experimentally in the odd-even mass differences, odd-even differences of two-neutron separation energy, α-decay and double β − -decay energy of these isotopes. Since the odd-even effects are the most important signatures of pairing interactions in nuclei, the model calculations gain microscopic insight into the nature of the ground state phase transition manifested by the standard pairing interaction.

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“…Shape phase transitions (SPTs) in odd-even nuclei have received some attentions in recent years [1][2][3][4][5][6][7][8][9][10]. Evidences of the spherical to prolate SPT and the associated shape/phase coexistence have been clearly identified in the odd Sm nuclei [8].…”

Section: Introductionmentioning

confidence: 99%

“…A theoretical tool suitable for analyzing the SPTs in odd-even nuclei is the interacting boson-fermion model (IBFM) [11], in which odd-even nucleus is approximately considered as the Bose-Fermi system with an even-even core (boson) coupled to a single particle (fermion). Previous investigations reveal that the effects of single particle may influence different type of SPT in different way [4][5][6]. In this work, we will present a classical analysis of the effects of single particle on the spherical to prolate SPT within the framework of IBFM.…”

Section: Introductionmentioning

confidence: 99%