Systematic Study of the Properties of Rotational Excited Levels in the Deformed Even-Even Nuclei In the Framework of Asymmetric Rotor Model

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2019-01-04

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Addis Ababa University

Abstract

The measurement of B(E2) values, meanlives and energies of excited states in nuclei are most active areas of nuclear structure physics. In this work, the asymmetric rotor model of Davydov- Filippov (DF) has been employed to study the reduced transition probabilities, meanlives and energies of excited states in the rotational excited state band even-even nuclei of lanthanide and actinide series, which comprises of 57 nuclides. The E2-transitions ranging up to 12+ spin states have been studied, in detail, in the spectra of nuclei whose mass number ranges as 150<=A<=190 and A>=228, and for those the first excited state 2+ and the second excited state 2+’ gamma band energies are available. In data calculations, experimental and theoretical methods have been employed. The best input parameters for these approaches have also been determined. These input parameters comprise of energy involved in transitions, internal conversion coefficient, half-life, intrinsic quadrupole moment Qo and nuclear asymmetric parameter γ. The reduced transition probability B(E2), meanlives and energies of excited states have been calculated by making use of the most recent available experimental data, for input parameters. Comparison of the calculated results of B(E2) values, meanlives and energies with the corresponding most recent experimental data shows a very good agreement, including high angular momentum states. Both the empirical and experimental B(E2) values usually increase with spin, for low-lying states, within a rotational ground state band. This work has determined, particularly, the B(E2) values for rotational nuclear excited states of which no work has been done so far. Moreover, this work has incorporated many nuclides and transitions for which neither experimental nor theoretical values are available.

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Nuclear Structure, Asymmetric Rotor Model, Reduced Transition Probabilities, Half- Life, Meanlives, Energy of Rotational Excited States, Asymmetric Parameter

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