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

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.

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

Modern Physics Letters A ◽

10.1142/s0217732318500487 ◽

2018 ◽

Vol 33 (09) ◽

pp. 1850048 ◽

Cited By ~ 1

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.

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Band head spin assignment of Tl isotopes of superdeformed rotational bands

Open Physics ◽

10.2478/s11534-014-0499-y ◽

2014 ◽

Vol 12 (9) ◽

Cited By ~ 2

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.

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

EPJ Web of Conferences ◽

10.1051/epjconf/201817703002 ◽

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.

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Structure of Superdeformed Rotational Bands in A ~ 150 Mass Region

JOURNAL OF ADVANCES IN PHYSICS ◽

10.24297/jap.v7i2.1693 ◽

2015 ◽

Vol 7 (2) ◽

pp. 1414-1427 ◽

Cited By ~ 2

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 â€“ 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 Î”I = 2 staggering in 148Gd (SD6) and 149Gd (SD1) are investigated. Also the presence of Î”I = 2 staggering effect in the yrast bands of 147Eu and 150Tb has been examined.

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Level spins of superdeformed bands in A ∼ 80 mass region

International Journal of Modern Physics E ◽

10.1142/s0218301316500385 ◽

2016 ◽

Vol 25 (06) ◽

pp. 1650038 ◽

Cited By ~ 2

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.

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

Journal of Scientific Research ◽

10.3329/jsr.v12i2.43867 ◽

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.

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Partial dynamical symmetry versus quasi dynamical symmetry examination within a quantum chaos analyses of spectral data for even–even nuclei

Scientific Reports ◽

10.1038/s41598-021-95847-1 ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

H. Sabri ◽

S. K. Mousavi Mobarakeh ◽

A. J. Majarshin ◽

Yan-An Luo ◽

Feng Pan

Keyword(s):

Quantum Chaos ◽

Nearest Neighbor ◽

Matrix Theory ◽

Chaotic Behavior ◽

Energy Levels ◽

Dynamical Symmetry ◽

Mass Region ◽

Band Head ◽

Symmetry Limit ◽

Rotational Bands

AbstractStatistical analyses of the spectral distributions of rotational bands in 51 deformed prolate even–even nuclei in the 152 ≤ A ≤ 250 mass region $$R_{{4_{1}^{ + } /2_{1}^{ + } }} \ge 3.00$$ R 4 1 + / 2 1 + ≥ 3.00 are examined in terms of nearest neighbor spacing distributions. Specifically, the focus is on data for 0+, 2+, and 4+ energy levels of the ground, gamma, and beta bands. The chaotic behavior of the gamma band, especially the position of the $$2_{\gamma }^{ + }$$ 2 γ + band-head compared to other levels and bands, is clear. The levels are analyzed within the framework of two models, namely, a SU(3)-partial dynamical symmetry Hamiltonian and a SU(3) two-coupled quasi-dynamical symmetry Hamiltonian, with results that are further analyzed using random matrix theory. The partial and quasi dynamics both yield outcomes that are in reasonable agreement with the known experimental results. However, due to the degeneracy of the beta and gamma bands within the simplest SU(3) picture, the theory cannot be used to describe the fluctuation properties of excited bands. By changing relative weights of the different terms in the partial and quasi dynamical Hamiltonians, results are obtained that show more GOE-like statistics in the partial dynamical formalism as the strength of the pairing term is increased. Also, in the quasi-dynamical symmetry limit, more correlations are found because of the stronger couplings.

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A Useful Curve Fitting Method for Concrete Uniaxial Compressive Experiment Data

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.291-294.1015 ◽

2011 ◽

Vol 291-294 ◽

pp. 1015-1020 ◽

Cited By ~ 1

Author(s):

Chong Jin ◽

Hong Wang ◽

Xiao Zhou Xia

Keyword(s):

Experimental Data ◽

Orthogonal Polynomial ◽

Least Square ◽

Base Function ◽

Concrete Material ◽

Fitting Method ◽

Orthogonal Base ◽

The Matrix ◽

Uniform Function ◽

Curve Fitting Method

Based on the superiority avoiding the matrix equation to be morbid for those fitting functions constructed by orthogonal base, the Legendre orthogonal polynomial is adopted to fit the experimental data of concrete uniaxial compression stress-strain curves under the frame of least-square. With the help of FORTRAN programming, 3 series of experimental data is fitted. And the fitting effect is very satisfactory when the item number of orthogonal base is not less than 5. What’s more, compared with those piecewise fitting functions, the Legendre orthogonal polynomial fitting function obtained can be introduced into the nonlinear harden-soften character of concrete constitute law more convenient because of its uniform function form and continuous derived feature. And the fitting idea by orthogonal base function will provide a widely road for studying the constitute law of concrete material.

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