  In this study, the effects of repulsive nucleon-nucleon interactions arising
from the Pauli exclusion principle were examined regarding the half-lives of
heavy even-even nuclei with $84\leq Z\leq92$. The Pauli exclusion principle is
applied to our investigations by renormalizing the nucleon-nucleon interactions
according to the Bohr-Sommerfeld quantization condition. It is also applied to
the double-folding ($DF$) formalism as a modification term by investigating the
kinetic energy variation at the overlapping regions between the densities of
the alpha and daughter nuclei. The standard deviation for the calculated
half-lives from their corresponded experimental data is 0.340 for the
renormalized DF formalism. Its value reduces to 0.309 for the DF formalism
modified with the kinetic energy contribution estimated by the extended
Thomas-Fermi approach. The calculated $\alpha$ decay half-lives are more
consistent with experimental data if the kinetic energy contribution is
associated with the DF formalism.
