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New Perspective in the Use of Power Index Formula for Level Energies

  • PHYSICS OF ELEMENTARY PARTICLES AND ATOMIC NUCLEI. THEORY
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Abstract

The power index formula is an alternative method in the form of single term energy expression i.e. \({{E}_{{\left( I \right)}}} = a{{I}^{{b~}}}\) to calculate the energy spectrum of even-even nuclei. In the earlier studies the validity of power index formula for g-, β- and γ-bands in various mass regions of nuclear chart were discussed well. In this paper, we illustrate the new perspective in the use of power index formula for g-, β- and γ-bands of even Z, even N nuclei i.e. sub-shell change in semi magic nuclei, the validity of formula for β-band energies and kinetic moment of inertia (kinetic MoI) of γ-band for some 142–148Ba, 144–152Ce and 146–156Nd nuclei. We also compared the energy values calculated by power index formula with the experimental values and Interacting Boson Model-1(IBM-1) values.

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ACKNOWLEDGMENTS

We are grateful to Professor J.B. Gupta, Ramjas College, University of Delhi, New Delhi for fruitful discussion. RK is also grateful to Dr. O.P. Agarwal, Chairman, NIET, Greater Noida and Dr. Vinod M Kapse, Director, NIET, Greater Noida for providing facilities for research at the institute.

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Authors and Affiliations

  1. Department of Physics, Noida Institute of Engineering and Technology, 201306, Greater Noida, India

    Rajesh Kumar

  2. Department of Physics, Yobe State University, P.M.B. 1144, Damaturu, Nigeria

    S. Sharma

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  1. Rajesh Kumar
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  2. S. Sharma
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Correspondence to Rajesh Kumar.

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Rajesh Kumar, Sharma, S. New Perspective in the Use of Power Index Formula for Level Energies. Phys. Part. Nuclei Lett. 20, 583–588 (2023). https://doi.org/10.1134/S154747712304043X

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