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Low-frequency quadrupole vibrational modes in deformed $^{36,38,40}$Mg close to the neutron drip line are studied by means of the quasiparticle-random-phase approximation based on the coordinate-space Hartree-Fock-Bogoliubov formalism.…

Nuclear Theory · Physics 2007-05-23 K. Yoshida , M. Yamagami , K. Matsuyanagi

A variable combination of realistic and random two-body interactions allows the study of collective properties, such as the energy spectra and B(E2) transition strengths in 44Ti, 48Cr and 24Mg. It is found that the average energies of the…

Nuclear Theory · Physics 2009-11-07 V. Velazquez , J. G. Hirsch , A. Frank , A. P. Zuker

We perform an uncertainty estimate of quadrupole moments and B(E2) transition rates that inform nuclear collectivity. In particular, we study the low-lying states of 6Li and 12C using the ab initio symmetry-adapted no-core shell model. For…

A general form of the octupole collective Hamiltonian is introduced and analyzed based on fundamental tensors in the seven-dimensional tensor space. Possible definitions of intrinsic frames of reference possessing cubic symmetry for the…

Nuclear Theory · Physics 2018-02-07 S. G. Rohozinski , L. Prochniak

We investigate different types of collective excitations in a quantum dot containing finite number of electrons at zero magnetic field. To estimate the excitation energies analytically we follow the energy weighted sum-rule approach. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Subhasis Sinha

The ATDHFB approach has been applied for a study of properties of collective quadrupole states in several transactinide nuclei: 238U, 240Pu, 242Pu, 246Cm, 248Cm, 250Cf and 252Cf. Calculated energies and B(E2) transition probabilities are in…

Nuclear Theory · Physics 2008-11-26 L. Prochniak

The status of the macroscopic and microscopic description of the collective quadrupole modes is reviewed, where limits due to non-adiabaticity and decoherence are exposed. The microscopic description of the yrast states in vibrator-like…

Nuclear Theory · Physics 2019-07-02 S. Frauendorf

The collective excitation of hybrid atomic-molecular condensate are studied using variational method. The dipole response of the system is studied in detail. We found that the out-of-phase dipole oscillation frequency increasing slowly with…

Soft Condensed Matter · Physics 2007-05-23 Chi-Yong Lin , M. S. Hussein , A. F. R. de Toledo Piza , E. Timmermans

The Bohr Hamiltonian describing the collective motion of atomic nuclei is modified by allowing the mass to depend on the nuclear deformation. Exact analytical expressions are derived for spectra and wave functions in the case of a…

Nuclear Theory · Physics 2014-11-20 Dennis Bonatsos , P. Georgoudis , D. Lenis , N. Minkov , C. Quesne

We introduce a microscopic approach to derive all the inertial functions in the five-dimensional quadrupole collective Hamiltonian. Local normal modes are evaluated on the constrained mean field in the quasiparticle random-phase…

Nuclear Theory · Physics 2015-05-27 Nobuo Hinohara , Koichi Sato , Kenichi Yoshida , Takashi Nakatsukasa , Masayuki Matsuo

We apply quantum continuum mechanics to the calculation of the excitation spectrum of a coupled electron-hole bilayer. The theory expresses excitation energies in terms of ground-state intra- and inter-layer pair correlation functions,…

Strongly Correlated Electrons · Physics 2021-10-04 S. De Palo , P. E. Trevisanutto , G. Senatore , G. Vignale

We investigate collective excitations of an atomic Bose-Einstein condensate in a recently discovered regime [D.O'Dell et al., Phys. Rev. Lett. 84, 5687 (2000)] of a balance between electromagnetically induced $1/r$ attraction and a…

Statistical Mechanics · Physics 2007-05-23 I. E. Mazets

An interacting boson model Hamiltonian determined from Hartree-Fock-Bogoliubov calculations with the new microscopic Gogny energy density functional D1M, is applied to the spectroscopic analysis of neutron-rich Yb, Hf, W, Os and Pt isotopes…

Nuclear Theory · Physics 2015-05-27 K. Nomura , T. Otsuka , R. Rodriguez-Guzman , L. M. Robledo , P. Sarriguren

We have carried out a unified microscopic study of electric monopole, quadrupole and magnetic dipole excitations in fast rotating nuclei undergoing backbending, with special attention at the magnetic excitations. We found, among other…

Nuclear Theory · Physics 2007-05-23 J. Kvasil , N. Lo Iudice , R. G. Nazmitdinov , A. Porrino , F. Knapp

The sextic oscillator is proposed as a two-parameter solvable $\gamma$-independent potential in the Bohr Hamiltonian. It is shown that closed analytical expressions can be derived for the energies and wavefunctions of the first few levels…

Nuclear Theory · Physics 2009-11-10 G. Lévai , J. M. Arias

Octupole correlations in the low-energy collective states of neutron-rich nuclei with the neutron number $N\approx56$ are studied within the interacting boson model (IBM) that is based on the nuclear density functional theory. The…

Nuclear Theory · Physics 2022-05-31 Kosuke Nomura

The coupled dynamics of the isovector and isoscalar giant quadrupole resonances and low lying modes (including scissors) are studied with the help of the Wigner Function Moments (WFM) method generalized to take into account pair…

Nuclear Theory · Physics 2015-05-13 E. B. Balbutsev , L. A. Malov , P. Schuck , M. Urban

Energy levels and transition rates for electric-dipole, electric-quadrupole, electric-octupole, magnetic-dipole, and magnetic-quadrupole transitions among the levels arising from the $n\ \leq$ 5 configurations in B-like Kr XXXII are…

Atomic Physics · Physics 2020-05-20 Yanting Li , Ra Si , Jinqing Li , Chunyu Zhang , Ke Yao , Kai Wang , Mingfeng Gu , Chongyang Chen

In this work, we present a new version of the Bohr collective Hamiltonian for triaxial nuclei within Deformation-Dependent Mass formalism (DDM) using the Hulth\'en potential. We shall call the developed model Z(5)-HD. Analytical expressions…

Nuclear Theory · Physics 2020-08-05 A. Adahchour , S. Ait El Korchi , A. El Batoul , A. Lahbas , M. Oulne

This paper presents the calculation of the electric transition dipole moment in a pre-Born-Oppenheimer framework. Electrons and nuclei are treated equally in terms of the parametrization of the non-relativistic total wave function, which is…

Chemical Physics · Physics 2014-10-17 Benjamin Simmen , Edit Matyus , Markus Reiher
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