Band head spin assignment of superdeformed bands in
                    86
                    Zr

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 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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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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Band head spin determination of triaxial superdeformed bands in 163,164,165 Lu through two-parameter formulae

Chinese Physics C ◽

10.1088/1674-1137/42/11/114102 ◽

2018 ◽

Vol 42 (11) ◽

pp. 114102

Author(s):

Honey Sharma ◽

H. M. Mittal

Keyword(s):

Band Head ◽

Superdeformed Bands ◽

Spin Determination ◽

Two Parameter

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

International Journal of Modern Physics E ◽

10.1142/s0218301320500810 ◽

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.

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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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