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Shape and multiple shape coexistence of nuclei are investigated throughout the nuclear chart by calculating the low-lying spectra and the quadrupole shape invariants for even-even nuclei with $10\leq Z\leq 104$ from the proton drip line to…

Nuclear Theory · Physics 2023-02-16 Y. L. Yang , P. W. Zhao , Z. P. Li

Coexistence of different geometric shapes at low energies presents a universal structure phenomenon that occurs over the entire chart of nuclides. Studies of the shape coexistence are important for understanding the microscopic origin of…

Nuclear Theory · Physics 2017-06-07 S. Quan , Q. Chen , Z. P. Li , T. Niksic , D. Vretenar

We examine the coexistence of spherical and $\gamma$-unstable deformed nuclear shapes, described by an SO(5)-invariant Bohr Hamiltonian, along the critical-line. Calculations are performed in the Algebraic Collective Model by introducing…

Nuclear Theory · Physics 2018-03-06 P. E. Georgoudis , A. Leviatan

A symmetry-based approach for describing shape-coexistence, is presented in the framework of the interacting boson model of nuclei. It involves a construction of a number-conserving Hamiltonian which preserves the dynamical symmetry of…

Nuclear Theory · Physics 2018-11-06 A. Leviatan , N. Gavrielov

We present an alternative, univocal characterization of the continuous transition from atomic to molecular shape in the Coulomb system constituted by two identical particles and a third particle with the opposite charge, as the mass ratio…

Chemical Physics · Physics 2022-01-26 Laura D. Salas , Barbara Zamora-Yusti , Julio C. Arce

In these lecture notes I present a short review of nuclear shapes, shape coexistence and shape-phase transitions in the interacting boson model. In a study with random interactions it is shown that the appearance of regular spectral…

Nuclear Theory · Physics 2017-11-02 Roelof Bijker

Finding a comprehensive and general description of the collective Lamb shift and cooperative broadening in a radiatively interacting system is a long-standing open question. Both energy levels and linewidth of individual atoms are modified…

Quantum Physics · Physics 2024-02-26 Hanzhen Ma , Susanne F. Yelin

Shape/phase transitions in atomic nuclei have first been discovered in the framework of the Interacting Boson Approximation (IBA) model. Critical point symmetries appropriate for nuclei at the transition points have been introduced as…

Nuclear Theory · Physics 2008-07-29 Dennis Bonatsos , E. A. McCutchan , N. V. Zamfir

We investigate shape coexistence in a rotating nucleus. We concentrate on the interesting case of 72-Kr which exhibits an interesting interplay between prolate and oblate states as a function of angular momentum. The calculation uses the…

Nuclear Theory · Physics 2007-05-23 Daniel Almehed , Niels R. Walet

A quantitative analysis of the evolution of nuclear shapes and shape phase transitions, including regions of short-lived nuclei that are becoming accessible in experiments at radioactive-beam facilities, necessitate accurate modeling of the…

Nuclear Theory · Physics 2016-02-17 Zhipan Li , Tamara Niksic , Dario Vretenar

We introduce a shell-model theory that combines traditional spherical states, which yield a diagonal representation of the usual single-particle interaction, with collective configurations that track deformations, and test the validity of…

Nuclear Theory · Physics 2009-11-07 V. G. Gueorguiev , W. E. Ormand , C. W. Johnson , J. P. Draayer

Conical intersections are ubiquitous in polyatomic molecules and responsible for a wide range of phenomena in chemistry and physics. We introduce and implement a local diabatic representation for the correlated electron-nuclear dynamics…

Quantum Physics · Physics 2023-10-18 Bing Gu

Evolution and coexistence of shape and the related spectroscopic properties of even-even Te isotopes are investigated within the quadrupole collective model that is based on the nuclear density functional theory. By means of the constrained…

Nuclear Theory · Physics 2024-12-06 K. Suzuki , K. Nomura

An one dimensional adiabatic model has been proposed for fusion of loosely bound and halo light nuclei with various heavy targets. It is shown that fusion cross sections at near and sub-barrier energies can be explained using a simple WKB…

Nuclear Theory · Physics 2010-11-23 Ajit Kumar Mohanty

Chiroptical responses in atomic systems are usually weak, as they arise from the interference between electric- and much weaker magnetic-dipole transitions. We show that atoms arranged in chiral geometries can instead exhibit a strong…

Atomic Physics · Physics 2026-02-18 Marcella L. Xavier , Felipe A. Pinheiro , Romain Bachelard

We investigate the mixing of different shapes in the A~70 region using the adiabatic self-consistent collective method in a rotating nuclei. The calculation is done for 68^Se and 72-78^Kr which are known to show oblate-prolate shape…

Nuclear Theory · Physics 2007-05-23 Daniel Almehed , Niels R. Walet

We describe a theoretical scheme that allows for transfer of quantum states of atomic collective excitation between two macroscopic atomic ensembles localized in two spatially-separated domains. The conception is based on the occurrence of…

Quantum Physics · Physics 2018-01-17 Y. Li , Y. X. Miao , C. P. Sun

We discuss adiabatic quantum phenomena at a level crossing. Given a path in the parameter space which passes through a degeneracy point, we find a criterion which determines whether the adiabaticity condition can be satisfied. For paths…

Quantum Physics · Physics 2007-05-23 Mateusz Cholascinski

The collective-flow-assisted nuclear shape-imaging method in ultra-relativistic heavy-ion collisions has recently been used to characterize nuclear collective states. In this paper, we assess the foundations of the shape-imaging technique…

Nuclear Theory · Physics 2025-12-23 J. Dobaczewski , A. Gade , K. Godbey , R. V. F. Janssens , W. Nazarewicz

We construct a measure for the adiabatic contribution to quantum transitions in an arbitrary basis, tackling the generic complex case where dynamics is only partially adiabatic, simultaneously populates several eigenstates and transitions…

Quantum Physics · Physics 2025-04-08 R. Pant , P. K. Verma , C. Rangi , E. Mondal , M. Bhati , V. Srinivasan , S. Wüster