Laser-assisted deformed $\alpha$ decay of the ground state even-even nuclei

In the present work, the influence of ultra-intense laser fields on the $\alpha$ decay half-life of the deformed ground state even-even nucleus with the mass number $52 \leq Z \leq 118$ is systematically studied. The calculations show that the laser field changes the $\alpha$ decay half-life by varying the $\alpha$ decay penetration probability in a small range. Moreover, the analytical formulas for the rate of change of the $\alpha$ decay penetration probability in the ultra-intense laser fields have been derived by the spherical approximation, which agrees well with the numerical solutions for nuclei with more significant proton numbers. This provides a fast way to estimate the rate of change of the $\alpha$ decay penetration probability for superheavy nuclei. Furthermore, the relationship between laser properties and the average rate of change of the $\alpha$ decay penetration probability is investigated. The calculations indicate that the shorter the wavelength of the laser pulse is, the larger the average rate of change of the penetration probability.