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It is shown that the recently observed Delta I = 2 staggering seen in superdeformed nuclear bands is also occurring in certain electronically excited rotational bands of diatomic molecules. In the case of diatomic molecules the effect is…

A method is proposed and tested for the analysis of Delta I=2 staggering observed in nuclear rotational bands. We examine six super- and hyper-deformed bands, among which that of 149Gd and possibly of 147Gd seem to exhibit real staggering.…

Nuclear Theory · Physics 2009-09-25 K. Hara , G. A. Lalazissis

We study the fine structure of nuclear rotational spectra on the basis of both dynamical and discrete symmetry approaches. In this framework we show that the odd--even (Delta I = 1) staggering effects observed in various rotational bands…

Nuclear Theory · Physics 2017-08-23 N. Minkov , S. B. Drenska , P. P. Raychev , R. P. Roussev , D. Bonatsos

The Delta I = 1 staggering (odd--even staggering) in octupole bands of light actinides is found to exhibit a ``beat'' behaviour as a function of the angular momentum I, forcing us to revise the traditional belief that this staggering…

We implement a high order discrete derivative analysis of the low lying collective energies of even-even nuclei with respect to the total number of valence nucleon pairs N in the framework of F- spin multiplets appearing in a symplectic…

Nuclear Theory · Physics 2009-11-07 S. Drenska , A. Georgieva , N. Minkov

The odd-even staggering of nuclear masses was recognized in the early days of nuclear physics. Recently, a similar effect was discovered in other finite fermion systems, such as ultrasmall metallic grains and metal clusters. It is believed…

Nuclear Theory · Physics 2008-11-26 W. Satuła , J. Dobaczewski , W. Nazarewicz

It is shown that the recently observed $\Delta I=4$ bifurcation seen in superdeformed nuclear bands is also occurring in rotational bands of diatomic molecules. In addition, signs of a $\Delta I=8$ bifurcation, of the same order of…

It is proposed that the odd-even staggering (OES) in the $\gamma$- bands of heavy deformed nuclei can be reasonably characterized by a discrete approximation of the fourth derivative of the odd-even energy difference as a function of…

Nuclear Theory · Physics 2009-11-06 Nikolay Minkov , S. B. Drenska , P. P. Raychev , R. P. Roussev , Dennis Bonatsos

The systematics of energy staggering for the magnetic rotational bands with $M1$ and $E2$ transition properties strictly consistent with the features of good candidates of magnetic rotational bands in the $A\sim80$, 110, 130 and 190 mass…

Nuclear Theory · Physics 2019-09-17 Wu-Ji Sun , Jian Li

All available experimental data for the $\Delta I=2$ transition energies in superdeformed bands are analyzed by using a new one-point formula. The existence of deviations from the smooth behavior is confirmed in many bands. However, we…

Nuclear Theory · Physics 2008-11-26 G. A. Lalazissis , K. Hara

All the known cases of the $\Delta I=4$ bifurcation in the SD bands are analysed in the framework of the microscopic theory suggested by the author [Phys. Rev. C 55 (1997) 1275]. It is shown that the intruder orbitals are of paramount…

Nuclear Theory · Physics 2007-05-23 I. M. Pavlichenkov

We propose an extended band mixing formalism capable of describing the ground-gamma band interaction in a wide range of collective spectra beyond the regions of well deformed nuclei. On this basis we explain the staggering effects observed…

Nuclear Theory · Physics 2007-05-23 S. Lalkovski , N. Minkov

The odd-even mass staggering in nuclei is analyzed in the context of self-consistent mean-field calculations, for spherical as well as for deformed nuclei. For these nuclei, the respective merits of the energy differences $\Delta^{(3)}$ and…

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

The effects of the residual proton-neutron interactions on bandcrossing features are studied by means of shell model calculations for nucleons in a high-j intruder orbital. The presence of an odd-nucleon shifts the frequency of the…

Nuclear Theory · Physics 2009-10-31 S. Frauendorf , J. A. Sheikh

It was recently suggested that the odd-even staggering of reaction cross sections is an evidence of the pair- ing anti-halo effect on projectile radii. We define the dimensionless staggering parameters, {\Gamma}rds and {\Gamma}R, for…

Signature effects observed in rotational bands are a consequence of an inherent D2-symmetry. This symmetry is naturally broken by the mean field cranking approximation when a tilted (non-principal) axis orientation of the nuclear spin…

Nuclear Theory · Physics 2009-10-31 F. Dönau , Jing-ye Zhang , L. L. Riedinger

The systematic investigation of hyperdeformation (HD) at high spin in the $Z=40-58$ part of the nuclear chart has been performed in the framework of the cranked relativistic mean field theory. The properties of the moments of inertia of the…

Nuclear Theory · Physics 2009-04-13 A. V. Afanasjev , H. Abusara

The structure of the $\Delta J = 1$ doublet bands in $^{128}Cs$ is investigated within the framework of the Interacting Vector Boson Fermion Model (IVBFM). A new, purely collective interpretation of these bands is given on the basis of the…

Nuclear Theory · Physics 2011-03-15 H. G. Ganev , S. Brant

In order to provide a microscopic description of levels and E2 transitions in rapidly rotating nuclei with internal excitation energy up to a few MeV, use is made of a shell model which combines the cranked Nilsson mean-field and the…

Nuclear Theory · Physics 2009-10-30 M. Matsuo , T. Døssing , E. Vigezzi , R. A. Broglia , K. Yoshida

The origin of the Delta I=4 staggering effect which has recently been observed in several superdeformed bands is discussed. The Hamamoto and Mottelson model, which is based on a phenomenological parametrization of the hamiltonian as a…

Nuclear Theory · Physics 2009-09-25 P. Magierski , K. Burzynski , J. Dobaczewski , W. Nazarewicz
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