The relativistic consideration of α and ¹⁴C clusters in studying even-even stable isotopes with 32 ≤ Z ≤ 38

In the present work, we aim to demonstrate the capability of a non-microscopic relativistic cluster model in characterizing even-even stable isotopes with 32 ≤ Z ≤ 38 and included in Ge, Se, Kr, and Sr chains. Moreover, we aimed to support the consideration of heavy clusters in studying such isotopes. Therefore, we examined the 14 C-core configuration to explore its prospect in studying the structure of even-even non-doubly-magic stable nuclei, in addition to the conventional α-core configuration. We set the 14 C cluster to examine these isotopes because it is a stable spin-zero even-even nucleus. To study the structure of our purpose isotopes, we used the Klein–Gordon equation to describe spin-zero particles in relativistic fields, frequently used to characterize particles with zero spin. To solve the equation, we applied the Nikiforov–Uvarov-functional analysis method, a powerful technique for addressing differential equations in quantum mechanics.