Orientation-Dependent Deformed Nuclear Potential for the $$\alpha$$ α -Decay

We have investigated the role of the deformation for the $$\alpha$$ decay half-lives with “cosh” nuclear potential. Wentzel–Kramers–Brillouin (WKB) approximation is used to calculate the half-lives together with Bohr–Sommerfeld quantization condition to put restrictions on the calculations. The nuclei are chosen between $$106 \le A \le 273$$ , including medium, heavy and super-heavy cases. The results are given for both spherical nuclear potential and deformed nuclear potential cases in order to make a suitable comparison. We have also compared the deviations of our results from the experimental data for the even–even and even–odd nuclei. We present that our results are in a very good agreement with the experimental data and also better than the previous works for some cases.