%0 Journal Article %T Nuclear isospin asymmetry in $¦Á$ decays of heavy nuclei %A Eunkyoung Shin %A Yeunhwan Lim %A Chang Ho Hyun %A Yongseok Oh %J Physics %D 2015 %I arXiv %X The effects of nuclear isospin asymmetry on $\alpha$ decay lifetimes of heavy nuclei are investigated within various phenomenological models of nuclear potential for the $\alpha$ particle. We consider the widely used simple square well potential and Woods-Saxon potential, and modify them by including an isospin asymmetry term. We then suggest a model for the potential of the $\alpha$ particle motivated by a microscopic phenomenological approach of the Skyrme force model, which naturally introduce the isospin dependent form of the nuclear potential for the $\alpha$ particle. The empirical $\alpha$ decay lifetime formula of Viola and Seaborg is also modified to include isospin asymmetry effects. The obtained $\alpha$ decay half-lives are in good agreement with the experimental data and we find that including the nuclear isospin effects somehow improves the theoretical results for $\alpha$ decay half-lives. The implications of these results are discussed and the predictions on the $\alpha$ decay lifetimes of superheavy elements are also presented. %U http://arxiv.org/abs/1511.02555v1