Ядерна фізика та енергетика Nuclear Physics and Atomic Energy   ISSN: 1818-331X (Print), 2074-0565 (Online)   Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine   Languages: Ukrainian, English   Periodicity: 4 times per year   Open access peer reviewed journal

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S. B. Doma^*

Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt

^*Corresponding author. E-mail address: sbdoma@alexu.edu.eg

Abstract: The binding energy, the root-mean-square radius, the magnetic dipole moment, the electric quadrupole moment, and the moment of inertia of the nucleus ⁶Li are calculated by applying different models. The translation invariant shell model is applied to calculate the binding energy, the root-mean-square radius, and the magnetic dipole moment by using two- and three-body interactions. Also, the spectra of the nuclei with A = 6 are calculated by using the translation-invariant shell model. Moreover, the ft-value of the allowed transition: ⁶He(J^π=0⁺;T=1)β^- → ⁶Li(J^π=1⁺;T'=1) is also calculated. Furthermore, the concept of the single-particle Schrodinger fluid for axially symmetric deformed nuclei is applied to calculate the moment of inertia of ⁶Li. Also, we calculated the magnetic dipole moment and the electric quadrupole moment of the nucleus ⁶Li in this case of axially symmetric shape. Moreover, the nuclear superfluidity model is applied to calculate the moment of inertia of ⁶Li, based on a single-particle deformed anisotropic oscillator potential added to it a spin-orbit term and a term proportional to the square of the orbital angular momentum, as usual in this case. The single-particle wave functions obtained in this case are used to calculate the magnetic dipole moment and the electric quadrupole moment of ⁶Li.

Keywords: translation invariant shell model, nuclei with A = 6, binding energy, spectrum, root-mean-square radius, magnetic dipole moment, quadrupole moment, ft-value, single-particle Schrodinger fluid, nuclear superfluidity model.

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