الفهرس 
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Abstract
In the framework of the preformed-cluster model, a simple method for calcu-lating α-decay half-lives ( ) of even-even nuclei in the range Zp =90- 122 and Np=112- 190 is derived using the WKB approximation. Then, the neutron num-ber variation of both log (T1/2) and the reciprocal of α-decay energy (1/Qα) are studied to explore nucleon magic numbers. The study shows that the shell effect plays an important role in α-decay half-lives and α-decay energies. That is, the closer the nucleon number of daughter nuclei to a magic number, the smaller the values of both log (T1/2) and (1/Qα) of the parent nucleus. As a result, the pre-dicted neutron and proton magic numbers are N=126, 162, 178 and 184 and Z=108, 114, 118 and 120, respectively, which are found in agreement with those predicted in other studies.