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Investigation of \({}^{{70,72,74,76}}\)Ge and \({}^{{84,86,88}}\)Sr in the Cluster Model

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Abstract

The present work shows our academic investigation of the role of the binary cluster model in probing the states of even–even mid-mass stable isotopes like \({}^{70,72,74,76}\)Ge and \({}^{84,86,88}\)Sr. The even-\(Z\) stable nuclei are significant in number. Although light even-\(Z\) stable isotopes have been studied extensively in terms of cluster models, there are fewer studies of mid-mass stable isotopes. Thus, we applied a cluster model to characterize some static properties of \({}^{70,72,74,76}\)Ge and \({}^{84,86,88}\)Sr. The eigenvalues and wave functions have been calculated for even–even stable nuclei in the germanium and strontium isotopic chains by analytically solving the time-independent Schrödinger equation involving a phenomenological potential. We have shown that the available experimental data of the charge radius and ground state energy can be well described by assuming a binary structure of \(\alpha\) cluster and a core and using an analytical solution. We applied Zn and Kr isotopes as cores of \({}^{70,72,74,76}\)Ge and \({}^{84,86,88}\)Sr, respectively.

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This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

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  1. Faculty of Physics and Nuclear Engineering, Shahrood University of Technology, Shahrood, Iran

    Mahdieh Mirzaei Nia & Mohammad Reza Shojaei

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  1. Mahdieh Mirzaei Nia
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Correspondence to Mohammad Reza Shojaei.

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Nia, M.M., Shojaei, M.R. Investigation of \({}^{{70,72,74,76}}\)Ge and \({}^{{84,86,88}}\)Sr in the Cluster Model. Phys. Atom. Nuclei 87, 19–24 (2024). https://doi.org/10.1134/S1063778824020145

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