Level spins of superdeformed bands in A ∼ 80 mass region

2016 ◽  
Vol 25 (06) ◽  
pp. 1650038 ◽  
Author(s):  
Anshul Dadwal ◽  
H. M. Mittal ◽  
Neha Sharma
Keyword(s):  
Mass Region ◽  
Band Head ◽  
Model Parameters ◽  
Mean Square ◽  
Transition Energies ◽  
Fitting Method ◽  
Superdeformed Bands ◽  
Variable Moment ◽  
Two Parameter ◽  
Good Agreement

The models variable moment of inertia (VMI), two-parameter [Formula: see text] formula and Harris [Formula: see text] expansion have been applied to 16 rotational superdeformed bands in the [Formula: see text] mass region to obtain band head spin [Formula: see text]. The band head spins of these 16 bands in the [Formula: see text] mass region are predicted by least-squares fitting method. Intraband [Formula: see text]-rays energies are fitted in these models to extract model parameters so as to obtain a minimum root mean square (RMS) deviation between calculated and the observed transition energies. The calculated transition energies depend upon the prescribed spins. When a legitimate band head spin is assigned, the calculated transition energies are in good agreement with the observed transition energies.

scholarly journals Moments of Inertia of SDIBs in A = 190 Mass Region using VMI Model

2020 ◽  
Vol 12 (2) ◽  
pp. 209-214
Author(s):  
P. Jain ◽  
A. Goel ◽  
S. K. Mandal
Keyword(s):  
Theoretical Model ◽  
Large Range ◽  
Mass Region ◽  
Band Head ◽  
Moment Of Inertia ◽  
Moments Of Inertia ◽  
Transition Energies ◽  
Variable Moment ◽  
Dynamic Moment

A lot of identical bands are known at present in the Normal Deformed (ND) region. In our study of the occurrence and properties of identical bands in Super-Deformed (SD) nuclei we first applied the modified Variable Moment of Inertia (VMI) model to extract the band-head spin of Super-Deformed bands. The calculated transition energies, level spins and dynamic moment of inertia are systematically examined. Then, in the framework of theoretical model several identical bands are identified. The kinematic and dynamic moment of inertia have been calculated for the six pairs of Super-Deformed Identical Bands (SDIBs) which was not reported earlier in the literature. Thus, the results are significant. In all the cases J(2) is significantly higher than J(1) over a large range of frequency.

Band head spin assignment of Tl isotopes of superdeformed rotational bands

Open Physics ◽  
2014 ◽  
Vol 12 (9) ◽  
Author(s):  
Alpana Goel ◽  
Uma Nair ◽  
Archana Yadav
Keyword(s):  
Spin Assignment ◽  
Band Head ◽  
Moment Of Inertia ◽  
Stiffness Parameter ◽  
Transition Energies ◽  
Rotational Bands ◽  
The Moment ◽  
Variable Moment ◽  
Theoretical Results ◽  
Good Agreement

AbstractThe Variable Moment of Inertia (VMI) model is proposed for the assignment of band head spin of super deformed (SD) rotational bands, which in turn is helpful in the spin prediction of SD bands. The moment of inertia and stiffness parameter (C), were calculated by fitting the proposed transition energies. The calculated transition energies are highly dependent on the prescribed spins. The calculated and observed transition energies agree well when an accurate band head spin (I 0) is assigned. The results are in good agreement with other theoretical results reported in literature. In this paper, we have reported the band head spin value 16 rotational band of super deformed Tl isotopes.

Band head spin assignment of superdeformed bands in A ∼60−80 mass region through nuclear softness formula

2017 ◽  
Vol 26 (11) ◽  
pp. 1750074 ◽  
Author(s):  
Honey Sharma ◽  
H. M. Mittal
Keyword(s):  
Mass Region ◽  
Rotational Frequency ◽  
Spin Assignment ◽  
Band Head ◽  
Least Square ◽  
Mean Deviation ◽  
Transition Energies ◽  
Rotational Bands ◽  
Fitting Method ◽  
Experimental Transition

The nuclear softness formula has been applied to obtain the band head spin ([Formula: see text]) of 7 superdeformed rotational bands ([Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text]) in A[Formula: see text]60−80 mass region. To obtain the band head spin ([Formula: see text]) of 7 superdeformed rotational bands in A[Formula: see text]60−80 mass region least square fitting method is used. The parameters are extracted by fitting the intraband transition energies in the nuclear softness formula from where the root mean deviation (RMD) between the calculated and the observed transition energies are obtained. The calculated transition energies are in good agreement with the experimental transition energies whenever exact band head spin ([Formula: see text]) is assigned. The calculated values of dynamic moment of inertia and its variation with rotational frequency for seven superdeformed rotational bands in A[Formula: see text]60−80 mass region are also studied. Hence, it is suggested that the nuclear softness formula works very well in A[Formula: see text]60−80 mass region.

Examination of phenomenological formulae in superdeformed bands of A ∼ 190,150 mass regions

2020 ◽  
Vol 29 (09) ◽  
pp. 2050081
Author(s):  
Monica Karday ◽  
Anshul Dadwal ◽  
H. M. Mittal
Keyword(s):  
Careful Analysis ◽  
Exponential Model ◽  
Mass Region ◽  
Rotational Energy ◽  
Band Head ◽  
General Nature ◽  
Model Parameters ◽  
Softness Parameter ◽  
Superdeformed Bands ◽  
Gap Parameter

The rotational energy formulae viz. VMI model, ab-formula, Harris [Formula: see text] expansion, Exponential model with pairing attenuation and Nuclear softness formula are employed to the superdeformed bands of [Formula: see text] and [Formula: see text] mass regions in order to test the validity of various rotational energy formulae in describing the general nature of superdeformed bands. These formulae are used to deduce the band-head spins of the nine superdeformed bands in [Formula: see text] mass region and two superdeformed bands of [Formula: see text] mass region. The band-head spins of these superdeformed bands have been established experimentally and hence they prove to be excellent candidates to examine the adequacy of rotational energy formulae in superdeformed bands. The least-squares fitting of [Formula: see text]-transition energies is performed to calculate the model parameters such as the band-head moment of inertia, the effective pairing gap parameter and the softness parameter, and a careful analysis of these parameters is made. For the first time, we have performed a systematic study of the rotational energy formulae to establish which formula gives the best estimate of spin in [Formula: see text] mass regions.

Band head spin assignment of superdeformed bands in 133Pr using two-parameter formulae

2018 ◽  
Vol 33 (09) ◽  
pp. 1850048 ◽  
Author(s):  
Honey Sharma ◽  
H. M. Mittal
Keyword(s):  
Power Index ◽  
Band Head ◽  
Least Square ◽  
Index Formula ◽  
Mean Deviation ◽  
Model Parameters ◽  
Transition Energies ◽  
Rotational Bands ◽  
Experimental Transition ◽  
Two Parameter

The two-parameter formulae viz. the power index formula, the nuclear softness formula and the VMI model are adopted to accredit the band head spin [Formula: see text] of four superdeformed rotational bands in [Formula: see text]. The technique of least square fitting is used to accredit the band head spin for four superdeformed rotational bands in [Formula: see text]. The root mean deviation among the computed transition energies and well-known experimental transition energies are attained by extracting the model parameters from the two-parameter formulae. The determined transition energies are in excellent agreement with the experimental transition energies, whenever exact spins are accredited. The power index formula coincides well with the experimental data and provides minimum root mean deviation. So, the power index formula is more efficient tool than the nuclear softness formula and the VMI model. The deviation of dynamic moment of inertia [Formula: see text] against the rotational frequency is also examined.

Predicting superdeformed rotational band-head spin in A ∼ 190 mass region using variable moment of inertia model

Pramana ◽  
2015 ◽  
Vol 86 (1) ◽  
pp. 185-190 ◽  
Author(s):  
V S UMA ◽  
AlPANA GOEL ◽  
ARCHANA YADAV ◽  
A K JAIN
Keyword(s):  
Rotational Band ◽  
Mass Region ◽  
Band Head ◽  
Moment Of Inertia ◽  
Inertia Model ◽  
Variable Moment

scholarly journals Band head spin for triaxial super-deformed bands in 165,167Lu

2018 ◽  
Vol 177 ◽  
pp. 03002
Author(s):  
Poonam Jain ◽  
Samit K. Mandal
Keyword(s):  
Rotational Band ◽  
Spin Assignment ◽  
Band Head ◽  
Transition Energies ◽  
Rotational Bands ◽  
Good Agreement

We use VMI model for the prediction of band head spin of Triaxial Super- Deformed (TSD) rotational bands. The calculated and observed transition energies are agreed well when an accurate band head spin (I0) is predicted. The results are in good agreement with the experimentally known values of spin and transition energies. In the present paper, we have reported the band head spin of TSD bands for Lu isotope. This method brings comprehensive interpretation for spin assignment of TSD bands which could help in designing future experiments for these bands. Thus, we have reported the band head spin value of 5 TSD rotational band of Lu isotope.

Structure of Superdeformed Rotational Bands in A ~ 150 Mass Region

2015 ◽  
Vol 7 (2) ◽  
pp. 1414-1427 ◽  
Author(s):  
Mahmoud Kotb ◽  
A.M. Khalaf ◽  
F.A. Altalhi
Keyword(s):  
Mass Region ◽  
Rotational Frequency ◽  
Mean Square ◽  
Mean Square Deviation ◽  
Moments Of Inertia ◽  
Transition Energies ◽  
Rotational Bands ◽  
Yrast Bands ◽  
Best Fit ◽  
Theory And Experiment

The structure of superdeformed rotational bands (SDRB's) in A ~ 150 mass region are studied by using the Harris three – parameter expansion and the incremental alignment. The bandhead spins Io have been determined with best fit procedure in order to obtain a minimum root mean square deviation between the calculated and the experimental dynamical moments of inertia. The kinematic moment of inertia has been calculated as a function of rotational frequency and compared to the corresponding experimental ones by assuming three spin values Io - 2 , Io , Io + 2. The transition energies and the variation of the moments of inertia as a function of rotational frequency have been calculated. The agreement between theory and experiment are excellent. The identical bands of SDRB's with ΔI = 2 staggering in 148Gd (SD6) and 149Gd (SD1) are investigated. Also the presence of ΔI = 2 staggering effect in the yrast bands of 147Eu and 150Tb has been examined.

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