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A quantum model of collective motion in nuclei and its dequantization

Peter Krämer, Z. Papadopolos, Wolfgang Schweizer

Nuclear Physics AAug 1, 19857 citations

Quantum phase transitions in the shapes of atomic nuclei

Pavel Cejnar, Jan Jolie, Richard F. Casten

Signatures of criticality in the evolution of the nuclear ground-state shapes across the $N\ifmmode\times\else\texttimes\fi{}Z$ plane are discussed. Attention is paid to specific data indicating sudden structural changes in various isotopic and isotonic chains of medium-mass and heavy even-even nuclei, as well as to diverse theoretical aspects of the models used to describe these changes. The interacting boson model and the geometric collective model, in particular, are discussed in detail, the former providing global predictions for the evolution of collective observables in nuclei between closed shells and the latter yielding a parameter-efficient description of nuclei at the critical points of shape transitions. Some issues related to the mechanism of first- and second-order quantum phase transitions in general many-body systems are also outlined.Signatures of criticality in the evolution of the nuclear ground-state shapes across the $N\ifmmode\times\else\texttimes\fi{}Z$ plane are discussed. Attention is paid to specific data indicating sudden structural changes in various isotopic and isotonic chains of medium-mass and heavy even-even nuclei, as well as to diverse theoretical aspects of the models used to describe these changes. The interacting boson model and the geometric collective model, in particular, are discussed in detail, the former providing global predictions for the evolution of collective observables in nuclei between closed shells and the latter yielding a parameter-efficient description of nuclei at the critical points of shape transitions. Some issues related to the mechanism of first- and second-order quantum phase transitions in general many-body systems are also outlined.

Reviews of Modern PhysicsAug 5, 2010578 citations

QUANTUM PHASE TRANSITIONS IN NUCLEI

FRANCESCO IACHELLO

International Spring Seminar on Nuclear PhysicsMar 1, 20050 citations

Single-particle and collective motion in nuclear open quantum systems

K. Fossez

Bulletin of the American Physical SocietyJan 28, 20170 citations

The spectral minimum in the harmonics generated from xenon atoms driven by intense mid-infrared laser pulses

Jingtao Zhang, D-S Guo

The spectral minimum in the harmonics generated from driven xenon atoms is reproduced by a nonperturbative QED theory. We find that the spectral minimum is caused by the radial wavefunction of the Xe 5p subshell in momentum space, and thus reflects the inherent property of the field-free wavefunction. The harmonics between the minimum and the cutoff of the plateau form an island structure. The island structure is quite similar to the giant-resonant structure observed recently. Suggestions are proposed to identify whether a true resonance transition occurs or not between different atomic subshells.The spectral minimum in the harmonics generated from driven xenon atoms is reproduced by a nonperturbative QED theory. We find that the spectral minimum is caused by the radial wavefunction of the Xe 5p subshell in momentum space, and thus reflects the inherent property of the field-free wavefunction. The harmonics between the minimum and the cutoff of the plateau form an island structure. The island structure is quite similar to the giant-resonant structure observed recently. Suggestions are proposed to identify whether a true resonance transition occurs or not between different atomic subshells.

Laser PhysicsJun 13, 20130 citations

Quantum phase transitions in the collective degrees of freedom: nuclei and other many-body systems

Pavel Cejnar, Pavel Stránský

Abstract Quantum phase transitions (QPTs) represent a quickly developing subject of theoretical and experimental research. Nuclear physics contributed to the formation of the QPT concept in the 1970s and remains an area where new viewpoints and original approaches to criticality in many-body systems can be created. In this review, we present a comprehensible introduction to the subject, with an emphasis on the role of nuclear physics, and point out some specific features of QPTs in the systems that exhibit an effective separation of some collective degrees of freedom. The focus on collectivity, which stems from the nuclear context, is an essential ingredient of our treatise. It leads to some consequences that find application in nuclei as well as in a wide spectrum of non-nuclear systems.Abstract Quantum phase transitions (QPTs) represent a quickly developing subject of theoretical and experimental research. Nuclear physics contributed to the formation of the QPT concept in the 1970s and remains an area where new viewpoints and original approaches to criticality in many-body systems can be created. In this review, we present a comprehensible introduction to the subject, with an emphasis on the role of nuclear physics, and point out some specific features of QPTs in the systems that exhibit an effective separation of some collective degrees of freedom. The focus on collectivity, which stems from the nuclear context, is an essential ingredient of our treatise. It leads to some consequences that find application in nuclei as well as in a wide spectrum of non-nuclear systems.

Physica ScriptaJul 18, 201618 citations

Quantum phase transition in atomic nuclei driven by competition between subshell closure and collective motion

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