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In the present work we systematically study $\mathcal{\alpha}$ decayhalf-lives of $Z>51$ nuclei using the modified Gamow-like model which includesthe effects of the centrifugal potential and electrostatic shielding. For thecase of even-even nuclei, this model contains two adjustable parameters: theparameter $a$ related to the screened electrostatic barrier and the radiusconstant $r_0$, while for the case of odd-odd and odd-A nuclei, it is added anew parameter i.e. hindrance factor $h$ which is used to describe the effect ofan odd-proton and/or an odd-neutron. Our calculations can well reproduce theexperimental data. In addition, we use this modified Gamow-like model topredict the $\mathcal{\alpha}$-decay half-lives of seven even-even nuclei with$Z=120$ and some un-synthesized nuclei on their $\mathcal{\alpha}$ decaychains.

Systematic study of $\mathcal{\alpha}$ decay half-lives based on Gamow--like model with a screened electrostatic barrier