Phase Coexistence in Transitional Nuclei and the Interacting-Boson Model

Iachello, F.; Zamfir, N. V.; Casten, R. F.

doi:10.1103/physrevlett.81.1191

Cited by 208 publications

(171 citation statements)

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“…In particular, the results shown for a first-order phase transition in the bottom right panel of Fig. 1, with y = 1/ √ 2, are equivalent to the results obtained in the IBM model in the case of a transition from a U(5) (spherical) to a SU(3) (axially symmetric) configuration in the Casten triangle [68].…”

Section: Appendix: Schwinger Boson Realizations Coherent States and supporting

confidence: 54%

“…In the case of the characterization of the phase diagram associated with the IBM, it is important to emphasize the pioneer works on shape phase transitions on nuclei [66], which anticipated the detailed construction of the phase diagram of the IBM using either catastrophe theory [66,67], the Landau theory of phase transitions [68,69], or excited levels repulsion and crossing [70]. In the present work we use the IBM-LMG, a simplified 1D model, which shows first-and second-order QPTs, having the same energy surface as the Q-consistent IBM Hamiltonian [51].…”

Section: Selected Modelsmentioning

confidence: 99%

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Identifying the order of a quantum phase transition by means of Wehrl entropy in phase space

et al. 2015

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Section: Appendix: Schwinger Boson Realizations Coherent States and supporting

confidence: 54%

Section: Selected Modelsmentioning

confidence: 99%

Identifying the order of a quantum phase transition by means of Wehrl entropy in phase space

et al. 2015

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“…In the last few years, interest for the study of phase transitions and phase coexistence in atomic nuclei has been revived [1][2][3][4] in particular making use of the Interacting Boson Model (IBM) [5]. In the chart of nuclei, three transitional regions can be distinguished where one observes rapid structural changes: (a) In the Nd-Sm-Gd region, one observes a change from spherical to well-deformed nuclei when moving from the lighter to the heavier isotopes; in the IBM language this is the U(5)-SU(3) transitional region; (b) in the Ru-Pd region, one notices that the lighter isotopes are spherical while the heavier ones indicate a γ-unstable character, this is the U(5)-O(6) region; (c) in the Os-Pt region, the lighter isotopes are well deformed while the heavier shown γ-unstable properties, this is the SU(3)-O (6) transitional region.…”

Section: Introductionmentioning

confidence: 99%

Two-neutron separation energies, binding energies and phase transitions in the interacting boson model

García‐Ramos¹,

Coster²,

Fossión³

et al. 2001

Nuclear Physics A

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“…One of the most important has been the discovery of empirical evidence [1,2] for quantum phase transitions (QPT) in the equilibrium shape as a function of nucleon number. This has led to the proposal [3,4] and empirical verification [5,6] of a new class of models, called critical point symmetries (CPS).…”

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confidence: 99%

Simple Empirical Order Parameter for a First-Order Quantum Phase Transition in Atomic Nuclei

et al. 2008

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A simple, empirical signature of a first order phase transition in atomic nuclei is presented, the ratio of the energy of the 6 + level of the ground state band to the energy of the first excited 0 + state. This ratio provides an effective order parameter which is not only easy to measure, but also distinguishes between first and second order phase transitions and takes on a special value in the critical region. Data in the Nd-Dy region show these characteristics. In addition, a repeating degeneracy between alternate yrast states and successive excited 0 + states is found to correspond closely to the line of a first order phase transition in the framework of the Interacting Boson Approximation (IBA) model in the large N limit, pointing to a possible underlying symmetry in the critical region.The study of structural evolution in atomic nuclei has witnessed significant developments in recent years. One of the most important has been the discovery of empirical evidence [1,2] for quantum phase transitions (QPT) in the equilibrium shape as a function of nucleon number. This has led to the proposal [3,4] and empirical verification [5,6] of a new class of models, called critical point symmetries (CPS). These, in turn have spurred an abundance of experimental searches [7,8,9] for nuclei satisfying the predictions of these CPS as well as investigations into the presence of quasidynamical and partial dynamical symmetries at the critical point [10,11].In contrast to the usual thermodynamic phase transitions [12], QPT occur at zero temperature as a parameter in the Hamiltonian is varied [13]. They are attracting much attention in a variety of physical systems, including Josephson-junction arrays and quantum Hall-effect systems [14]. The transition from BardeenCooper-Schrieffer (BCS) pairing correlations [15] to Bose-Einstein condensation (BEC) as a result of increasing the strength of the pairing interaction in ultracold alkali atoms has been recently seen experimentally [16,17,18]. In nonrigid polyatomic molecules, a transition from rigidly-linear to rigidly-bent shapes has also been studied [19]. A relationship between QPT and quantum entanglement has also attracted much attention [20,21]. Central to this active field is the search for simple empirical signatures of QPT and the identification of their order. The properties of QPT in atomic nuclei are therefore of quite broad interest, especially since nuclei are finite-body systems in which the number of constituents can be varied experimentally and theoretically.It is the purpose of this Letter to identify a new, easyto-measure, observable in one such system, atomic nuclei, that acts as an order parameter for QPT in nuclei and which can distinguish first and second order phase transitions. Further, we will show that a particular value of this observable identifies the entire critical region, even for structures not satisfying a specific CPS. Finally we use this value to point to the possible existence of a heretofore undefined new symmetry at the critical point.In the co...

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Phase Coexistence in Transitional Nuclei and the Interacting-Boson Model

Cited by 208 publications

References 12 publications

Identifying the order of a quantum phase transition by means of Wehrl entropy in phase space

Identifying the order of a quantum phase transition by means of Wehrl entropy in phase space

Two-neutron separation energies, binding energies and phase transitions in the interacting boson model

Simple Empirical Order Parameter for a First-Order Quantum Phase Transition in Atomic Nuclei

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