Prediction of band-head spin of triaxial super-deformed bands using the modified VMI model

Jain, Piyush; Uma, V. S.; Goel, Alpana; Mandal, S.

doi:10.1140/epjp/i2019-12443-3

Cited by 2 publications

(2 citation statements)

References 46 publications

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“…The complete explanation of VMI model is described in literature [13][14][15]. The energy level of I 0 = 0, the ground-state bands in even-even nuclei are represented as:…”

Section: A Brief Description Of the Vmi Modelmentioning

confidence: 99%

“…In this equation, the parameters J 0 and C are determined by fitting the experimentally known transition energies by using the Best-Fit Method (BFM). To find the rotational frequency ђω, the kinematic J (1) and dynamic J (2) moment of inertia using literature [13][14][15], we have written an equation by differentiating the energy with respect to I(I +1) and using the chain rule, we can extract ђω; J (1) and J (2) from their definitions:…”

Section: A Brief Description Of the Vmi Modelmentioning

confidence: 99%

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

2020

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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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“…The complete explanation of VMI model is described in literature [13][14][15]. The energy level of I 0 = 0, the ground-state bands in even-even nuclei are represented as:…”

Section: A Brief Description Of the Vmi Modelmentioning

confidence: 99%

Section: A Brief Description Of the Vmi Modelmentioning

confidence: 99%

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

2020

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Search for Super-Deformed Identical Bands in the A = 190 Mass Region on the Basis of Level Spin

Jain

Kumar

et al. 2023

Universe

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The systematic study of Super-Deformed (SD) bands in the A=190 mass region has been performed. We observed a large number of pairs of SD bands, with different mass numbers, having transition energies nearly equal (within 3 keV) and having identical dynamic moments of inertia. The bands having nearly equal transitions energies and other parameters are called identical bands. We have performed detailed analysis and found 16 pairs of Super-Deformed Identical Bands (SDIBs) whose Eγ energies and moment of inertia are in good agreement with each other. The modified Variable Moment of Inertia (VMI) model is applied to 16 pairs of SDIBs to estimate the band spins by fitting the two parameters J0 and C. We found that out of 16 pairs, the band-head spin is consistent with moment of inertia and transition energies for four pairs. For another seven pairs, the transition energies and moment of inertia are identical, but originate from levels with different spins. The remaining five pairs have the identical energy but spins are either increasing or decreasing by one unit in the pair. Secondly, the NpNn scheme is applied to verify the existence of SDIBs. The parameters deduced from the NpNn scheme are also in good agreement for the mentioned case. The study indicates that each pair of conjugate nuclei have nearly identical spin, moment of inertia (dynamic) and gamma transition energy.

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Prediction of band-head spin of triaxial super-deformed bands using the modified VMI model

Cited by 2 publications

References 46 publications

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

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

Search for Super-Deformed Identical Bands in the A = 190 Mass Region on the Basis of Level Spin

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