Band head spin assignment of Tl isotopes of superdeformed rotational bands

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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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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ERRATA: THE VMI-MODEL REVISITED IN THE ODD-ODD RARE-EARTH NUCLEI

International Journal of Modern Physics E ◽

10.1142/s0218301393000546 ◽

1993 ◽

Vol 02 (04) ◽

pp. 923-941

Author(s):

A. K. JAIN ◽

ALPANA GOEL

Keyword(s):

Rare Earth ◽

Moment Of Inertia ◽

Rotational Bands ◽

Complete Formulation ◽

Rare Earth Nuclei ◽

Energy Ratios ◽

Interesting Correlation ◽

Inertia Model ◽

The Moment ◽

Variable Moment

A rather complete formulation of the variable moment of inertia model is presented for odd-odd nuclei and relationship obtained between the energy ratios and the parameters of the model. Range of validity of the model is defined and Mallmann-like curves are obtained for the odd-odd nuclei. An application is made to the rare-earth region and results are presented for the K+=(Ωp+Ωn) bands and those K−=|Ωp−Ωn| bands which remain reasonably free from Coriolis mixing. The parameters obtained from the fitting show excellent agreement with the predictions of the model. An interesting correlation between the variation of the moment of inertia of the odd-odd rotational bands with those of the neighboring odd-A nuclei involving either the same neutron or same proton configuration is also presented.

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APPLICATION OF THE VARIABLE MOMENT OF INERTIA MODEL TO BANDS IN ODD-ODD NUCLEI

Modern Physics Letters A ◽

10.1142/s0217732390002766 ◽

1990 ◽

Vol 05 (29) ◽

pp. 2403-2406 ◽

Cited By ~ 5

Author(s):

ALPANA GOEL ◽

A. K. JAIN

Keyword(s):

Angular Momentum ◽

Significant Variation ◽

Moment Of Inertia ◽

Rotational Bands ◽

Mixing Effects ◽

Inertia Parameter ◽

Rare Earth Nuclei ◽

Inertia Model ◽

The Moment ◽

Variable Moment

The variable moment of inertia model is extended to rotational bands in odd-odd rare-earth nuclei. Results are presented for the K> = (Ωp + Ωn) bands which remain reasonably free from Coriolis mixing effects. The moment of inertia parameter exhibits significant variation with angular momentum which is strikingly similar to one of the odd-A rotational bands based on either the neutron or the proton configuration also involved in the odd-odd rotational band.

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

International Journal of Modern Physics E ◽

10.1142/s0218301317500744 ◽

2017 ◽

Vol 26 (11) ◽

pp. 1750074 ◽

Cited By ~ 1

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.

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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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THE VMI-MODEL REVISITED IN THE ODD-ODD RARE-EARTH NUCLEI

International Journal of Modern Physics E ◽

10.1142/s0218301393000170 ◽

1993 ◽

Vol 02 (02) ◽

pp. 451-469 ◽

Cited By ~ 3

Author(s):

A.K. JAIN ◽

ALPANA GOEL

Keyword(s):

Rare Earth ◽

Moment Of Inertia ◽

Rotational Bands ◽

Complete Formulation ◽

Rare Earth Nuclei ◽

Energy Ratios ◽

Interesting Correlation ◽

Inertia Model ◽

The Moment ◽

Variable Moment

A rather complete formulation of the variable moment of inertia model is presented for odd-odd nuclei and relationship obtained between the energy ratios and the parameters of the model. Range of validity of the model is defined and Mallmann-like curves are obtained for the odd-odd nuclei. An application is made to the rare-earth region and results are presented for the K+=(Ωp+Ωn) bands and those K−=|Ωp−Ωn| bands which remain reasonably free from Coriolis mixing. The parameters obtained from the fitting show excellent agreement with the predictions of the model. An interesting correlation between the variation of the moment of inertia of the odd-odd rotational bands with those of the neighboring odd-A nuclei involving either the same neutron or same proton configuration is also presented.

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On the Dynamics of a Rotary Compressor: Part 2 — Experimental Validation and Sensitivity Analysis

19th Design Automation Conference: Volume 1 — Mechanical System Dynamics; Concurrent and Robust Design; Design for Assembly and Manufacture; Genetic Algorithms in Design and Structural Optimization ◽

10.1115/detc1993-0309 ◽

1993 ◽

Author(s):

Sisir K. Padhy

Keyword(s):

Experimental Validation ◽

Sensitivity Study ◽

Rotary Compressor ◽

Dynamics Model ◽

The Coefficient Of Friction ◽

The Moment ◽

Discharge Pressure ◽

Roller Radius ◽

Theoretical Results ◽

Good Agreement

Abstract This paper describes the experimental validation of the rotary compressor dynamics model [1]. Roller velocity is measured using video technology and a very good agreement is found with the theoretical results. A sensitivity study using different variables that affect the compressor dynamics is also carried out. It is found that the coefficient of friction at the vane and roller plays an important role in roller velocity. The dynamics of roller is influenced by the clearances, the roller radius, the vane radius, eccentricity of the shaft, the frictional behavior between the roller ends and the bearing plates, the discharge pressure of the compressor as well as the moment of inertia of roller.

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QUANTUM ALGEBRAIC SYMMETRIES IN NUCLEAR AND MOLECULAR PHYSICS

HNPS Proceedings ◽

10.12681/hnps.2847 ◽

2020 ◽

Vol 2 ◽

pp. 168

Author(s):

Dennis Bonatsos ◽

E. N. Argyres ◽

S. B. Drenska ◽

P. P. Raychev ◽

R. P. Roussev ◽

...

Keyword(s):

Diatomic Molecules ◽

Quantum Algebra ◽

Moment Of Inertia ◽

Molecular Spectra ◽

Molecular Physics ◽

Rotational Spectra ◽

Inertia Parameter ◽

Energy Formula ◽

The Moment ◽

Variable Moment

The first realizations of quanttun algebraic symmetries in nuclear and molecular spectra are presented. Rotational spectra of even-even nuclei are described by the quantum algebra SUq(2). The two parameter formula given by the algebra is equivalent to an expan- sion in terms of powers of j(j + 1), similar to the expansion given by the Variable Moment of Inertia (VMI) model. The moment of inertia parameter in the two models, as well as the small parameter of the expansion, are found to have very similar numerical values. The same formalism is found to give very good results for superdeformed nuclear bands, which are closer to the classical SU(2) limit, as well as for rotational bands of diatomic molecules, in which a partial summation of the Dunham expansion for rotation-vibration spectra is achieved. Vibrational spectra of diatomic molecules can be described by the q-deformed anhannonic oscillator, having the symmetry Uq(2)>Oq(2). An alternative de- scription is obtained in terms of the quantum algebra SUq(1,1). In both cases the energy formula obtained is equivalent to an expansion in terms of powers of (v+½) , where ν is the vibrational quantum number, while in the classical ST(1,1) case only the first two powers appear. In all cases the improved description of the empirical data is obtained with q being a phase (and not a real number). Further applications of quantum algebraic symmetries in nuclei and molecules are discussed.

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