Deformation properties of the even–even rare-earth Er–Os isotopes for N = 100

2018 ◽  
Vol 27 (05) ◽  
pp. 1850035 ◽  
Author(s):  
Mushtaq Abed Al-Jubbori ◽  
Huda H. Kassim ◽  
Fadhil I. Sharrad ◽  
I. Hossain
Keyword(s):  
Rare Earth ◽  
Ground State ◽  
Interacting Boson Model ◽  
Ground State Band ◽  
Gamma Energy ◽  
Os Isotopes ◽  
Deformation Properties ◽  
Contour Plots ◽  
State Band ◽  
Boson Model

The energies of the ground, [Formula: see text] and [Formula: see text] bands as well as the associated [Formula: see text] values have been calculated using interacting boson model (IBM). We have developed a new method called “new empirical equation” for each even–even rare-earth Er–Os for [Formula: see text]. Also, the relation of the gamma energy over spin as a function of the spin [Formula: see text] (E-GOS) has been drawn. The ratio between the energies of the [Formula: see text] and [Formula: see text] states as a function of [Formula: see text] has been drawn to determine the property of the ground-state band, these curves indicated that these isotopes have a rotational property SU(3), with the [Formula: see text] property for [Formula: see text]Os isotopes. The contour plots of the potential energy surface for Er–Os for [Formula: see text] are studied using the simplified form of interacting boson model with an intrinsic coherent state. The critical points have been determined for [Formula: see text]Os isotopes. The behaviors of energy and [Formula: see text] ratios in the ground-state band are examined.

Electromagnetic reduced transition properties of the ground state band of even–even 102−106Pd isotopes by means of interacting boson model-I

2013 ◽  
Vol 88 (1) ◽  
pp. 5-9 ◽  
Author(s):  
I Hossain ◽  
M A Saeed ◽  
N N A M B Ghani ◽  
H Sa’adeh ◽  
M Hussein ◽  
...  
Keyword(s):  
Ground State ◽  
Interacting Boson Model ◽  
Ground State Band ◽  
State Band ◽  
Boson Model

Description of the Ba–Dy(N = 92) nuclei in the interacting boson model

2017 ◽  
Vol 26 (04) ◽  
pp. 1750019 ◽  
Author(s):  
Huda H. Kassim
Keyword(s):  
Potential Energy Surfaces ◽  
Energy Levels ◽  
Interacting Boson Model ◽  
Contour Plot ◽  
Model Parameters ◽  
Transition Rates ◽  
Ground State Band ◽  
State Band ◽  
Boson Model ◽  
Energy Surfaces

Interacting Boson Model (IBM -1) has been used to study the energy levels and [Formula: see text] transition rates in Ba–Dy ([Formula: see text]) isotones. A simplified Hamiltonian is used which is written in the creation and annihilation form and for each nucleus, by fitting the selected experimental energy levels and [Formula: see text] transition rates with the calculated ones to get the best model parameters. Using the (IBM) Hamiltonian with an intrinsic state formalism, the potential energy surfaces (PES) for even–even Ba–Dy nuclei have been obtained and the contour plot of PES show that the shape phase transitions from spherical [Formula: see text] to deformed shape [Formula: see text] has been determined for the [Formula: see text], while [Formula: see text]Ce, [Formula: see text]Nd, [Formula: see text]Sm, [Formula: see text]Gd and [Formula: see text]Dy nuclei are deformed and have rotational-like characters. The behavior of energy and [Formula: see text] ratios in the ground state band are examined.

scholarly journals "Beat" Patterns of Odd-Even Staggering in Octupole Bands of Light Actinides

2019 ◽  
Vol 11 ◽  
Author(s):  
Dennis Bonatsos ◽  
C. Daskaloyannis ◽  
S. B. Drenska ◽  
N. Karoussos ◽  
N. Minkov ◽  
...  
Keyword(s):  
Vector Boson ◽  
Negative Parity ◽  
Interacting Boson Model ◽  
Algebraic Models ◽  
Ground State Band ◽  
Parity Band ◽  
State Band ◽  
Boson Model ◽  
The Difference ◽  
Negative Parity Band

The Δ 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 J, forcing us to revise the traditional belief that this staggering decreases gradually to, zero and then remains at this zero value. Various algebraic models (spf-Interacting Boson Model, spdf-IBM, Vector Boson Model, Nuclear Vibron Model) predict in their su(3) limits constant staggering for this case, being thus unable to describe the "beat" behaviour. An explanation of the "beat" behaviour is given in terms of two Dunham expansions (expansions in terms of powers of I ( I + 1) ) with slightly different sets of coefficients for the ground state band and the negative parity band, the difference in the values of the coefficients being attributed to Coriolis couplings to other negative parity bands.

The ground state band of25Mg studied by electron scattering

1975 ◽  
Vol 1 (2) ◽  
pp. L13-L17 ◽  
Author(s):  
E W Lees ◽  
C S Curran ◽  
S W Brian ◽  
W A Gillespie ◽  
A Johnston ◽  
...  
Keyword(s):  
Electron Scattering ◽  
Ground State ◽  
Ground State Band ◽  
State Band

scholarly journals NEW STRUCTURES IN 178HF AND COULOMB EXCITATION OF ISOMERS

2011 ◽  
Vol 20 (02) ◽  
pp. 474-481 ◽  
Author(s):  
A.B. HAYES ◽  
D. CLINE ◽  
C. Y. WU ◽  
A.M. HURST ◽  
M.P. CARPENTER ◽  
...  
Keyword(s):  
Angular Momentum ◽  
Ground State ◽  
Coulomb Excitation ◽  
National Laboratory ◽  
Argonne National Laboratory ◽  
Particle Detector ◽  
Ground State Band ◽  
Rotational Bands ◽  
Coincidence Data ◽  
State Band

A 985 MeV 178 Hf beam was Coulomb excited by a 208 Pb target at the ATLAS accelerator of Argonne National Laboratory. Gammasphere and the CHICO particle detector recorded particle-γ coincidence data. The aim was to populate and determine the mechanism of previously observed Coulomb excitation of the Kπ = 6+ (t1/2 = 77 ns ), 8- (4 s ) and 16+ (31 y ) isomer bands. New rotational bands were identified including an aligned band which appears to mix with the ground-state band (GSB) and the γ-vibrational band above ~ 12 ħ of angular momentum. Newly observed γ-decay transitions into the three isomer bands may elucidate the K-mixing which allows Coulomb excitation of these isomer bands, but direct decays from the GSB into the 16+ isomer band have not yet been confirmed.

Spin Alignment of the Ground-State Band Levels in Nd and Sm Isotopes Excited in (α, 2nγ) Reactions

1972 ◽  
Vol 33 (6) ◽  
pp. 1515-1521 ◽  
Author(s):  
Hiroyasu Ejiri ◽  
Tokushi Shibata ◽  
Akira Shimizu ◽  
Kohsuke Yagi
Keyword(s):  
Ground State ◽  
Ground State Band ◽  
Spin Alignment ◽  
State Band

scholarly journals Variational procedure leading from Davidson potentials to the E(5)and X(5) critical point symmetries

2020 ◽  
Vol 13 ◽  
pp. 10
Author(s):  
Dennis Bonatsos ◽  
D. Lenis ◽  
N. Minkov ◽  
D. Petrellis ◽  
P. P. Raychev ◽  
...  
Keyword(s):  
Phase Transition ◽  
Critical Point ◽  
Ground State ◽  
Nuclear Energy ◽  
Energy Spectra ◽  
Variational Procedure ◽  
Ground State Band ◽  
Sharp Maximum ◽  
State Band ◽  
Shape Phase Transition

Davidson potentials of the form β^2 + β0^4/β^2, when used in the original Bohr Hamiltonian for γ-independent potentials bridge the U(5) and 0(6) symmetries. Using a variational procedure, we determine for each value of angular momentum L the value of β0 at which the derivative of the energy ratio RL = E(L)/E(2) with respect to β0 has a sharp maximum, the collection of RL values at these points forming a band which practically coincides with the ground state band of the E(5) model, corresponding to the critical point in the shape phase transition from U(5) to Ο(6). The same potentials, when used in the Bohr Hamiltonian after separating variables as in the X(5) model, bridge the U(5) and SU(3) symmetries, the same variational procedure leading to a band which practically coincides with the ground state band of the X(5) model, corresponding to the critical point of the U(5) to SU(3) shape phase transition. A new derivation of the Holmberg-Lipas formula for nuclear energy spectra is obtained as a by-product.

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