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The collective yrast band and the high spin states of the nucleus 50Cr are studied using the spherical shell model and the HFB method. The two descriptions lead to nearly the same values for the relevant observables. A first backbending is…

Nuclear Theory · Physics 2008-11-26 G. Martínez-Pinedo , A. Poves , L. M. Robledo , E. Caurier , F. Nowacki , J. Retamosa , A. P. Zuker

The backbending phenomenon in $^{48}$Cr has been investigated using the recently developed Projected Configuration Interaction (PCI) method, in which the deformed intrinsic states are directly associated with shell model (SM) wavefunctions.…

Nuclear Theory · Physics 2011-06-06 Zao-Chun Gao , Mihai Horoi , Y. S. Chen , Y. J. Chen , Tuya

We provide new insights into backbending phenomenon within the symmetry-adapted framework which naturally describes the intrinsic deformation of atomic nuclei. For $^{20}\text{Ne}$, the canonical example of backbending in light nuclei, the…

Superdeformed states in light $N=Z$ nuclei are studied by means of the self-consistent cranking calculation (i.e., the P + QQ model based on the cranked Hartree-Fock-Bogoliubov method). Analyses are given for two typical cases of…

Nuclear Theory · Physics 2008-11-26 Makito Oi

The rotational bands in nuclei with $Z \approx 100$ are investigated systematically by using a cranked shell model (CSM) with the pairing correlations treated by a particle-number conserving (PNC) method, in which the blocking effects are…

Nuclear Theory · Physics 2012-01-27 Zhen-Hua Zhang , Xiao-Tao He , Jin-Yan Zeng , En-Guang Zhao , Shan-Gui Zhou

In two previous papers, the Kerman-Klein-Donau-Frauendorf (KKDF) model was used to study rotational bands of odd deformed nuclei. Here we describe backbending for odd nuclei using the same model. The backbending in the neighboring even…

Nuclear Theory · Physics 2008-11-26 Pavlos Protopapas , Abraham Klein , Niels R. Walet

We provide a description of deformed $N=Z$ nuclei in a formalism of $\alpha$-like quartets. Quartets are constructed variationally by resorting to the use of proper intrinsic states. Various types of intrinsic states are introduced which…

Nuclear Theory · Physics 2022-03-14 M. Sambataro , N. Sandulescu

The HFB self-consistent method has been applied to study the properties of several neutron deficient superheavy nuclei with Z=120-124, N=160-168. Their distinctive feature is the existence of minima of the total HFB energy for strongly…

Nuclear Theory · Physics 2015-06-12 L. Prochniak , A. Staszczak

Reliable predictions of the static and dynamic properties of a nucleus require a fully microscopic description of both ground and excited states of this complicated many-body quantum system. Predictive calculations are key to understanding…

Nuclear Theory · Physics 2022-10-19 Emanuel V. Chimanski , Eun Jin In , Jutta E. Escher , Sophie Péru , Walid Younes

We consider properties of critical points in the interacting boson model, corresponding to flat-bottomed potentials as encountered in a second-order phase transition between spherical and deformed $\gamma$-unstable nuclei. We show that…

Nuclear Theory · Physics 2017-08-23 Joseph N. Ginocchio , A. Leviatan

The cranked relativistic Hartree+Bogoliubov theory has been applied for a systematic study of the nuclei around 254No, the heaviest elements for which detailed spectroscopic data are available. The deformation, rotational response, pairing…

Nuclear Theory · Physics 2009-11-10 A. V. Afanasjev , T. L. Khoo , S. Frauendorf , G. A. Lalazissis , I. Ahmad

The superdeformation and hyperdeformation in $^{108}$Cd have been studied for the first time within the framework of the fully self-consistent cranked mean field theory, namely, cranked relativistic mean field theory. The structure of…

Nuclear Theory · Physics 2009-11-11 A. V. Afanasjev , S. Frauendorf

We investigate the stability and softness of nuclei against quadrupole, octupole, and hexadecapole deformation. By applying the spherical Skyrme-force Hartree-Fock Bardeen-Cooper-Schrieffer quasi-particle random phase approximation, we…

Nuclear Theory · Physics 2026-02-16 Le-Anh Nguyen , Minh-Loc Bui , Panagiota Papakonstantinou , Naftali Auerbach

In order to extract informations on pairing correlations in nuclei from experimental mass differences, the different contributions to odd-even mass differences are investigated within the Skyrme HFB method. In this first paper, the…

Nuclear Theory · Physics 2009-11-07 T. Duguet , P. Bonche , P. -H. Heenen , J. Meyer

Deformed shell model (DSM) based on Hartree-Fock intrinsic states is applied to address two current problems of interest. Firstly, in the $f_{5/2}pg_{9/2}$ model space with jj44b effective interaction along with isospin projection, DSM is…

Nuclear Theory · Physics 2016-10-11 R. Sahu , V. K. B. Kota

A one-dimensional harmonic oscillator in a box is used to introduce the oblique-basis concept. The method is extended to the nuclear shell model by combining traditional spherical states, which yield a diagonal representation of the usual…

Nuclear Theory · Physics 2009-11-07 V. G. Gueorguiev , J. P. Draayer

The mechanism of backbending is semi-phenomenologically investigated based on the hybridization of two rotational bands. These bands are defined by treating a model Hamiltonian describing two interacting subsystems: a set of particles…

Nuclear Theory · Physics 2015-05-30 A. A. Raduta , R. Budaca

The cranked relativistic Hartree+Bogoliubov theory has been applied for a systematic study of the nuclei around 254No, the heaviest nuclei for which detailed spectroscopic data are available. The deformation, rotational response, pairing…

Nuclear Theory · Physics 2008-11-26 A. V. Afanasjev , T. L. Khoo , S. Frauendorf , G. A. Lalazissis , I. Ahmad

Nowaday, in study of effective interactions, more attention is devoted to single-particle properties of near-magic nuclei and bulk properties of deformed ones but quasiparticle states of the latter are rarely used so far because of…

Nuclear Theory · Physics 2011-11-29 N. A. Lyutorovich

The spectral and statistical properties of nuclei $^{46}$V and $^{48}$Cr are studied in the framework of nuclear shell model. A microscopical effective Hamiltonian derived from the CD-Bonn \textit{NN} potential is employed. The calculations…

Nuclear Theory · Physics 2007-05-23 C. Qi , F. R. Xu
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