Within the framework of the proximity formalism, we present a systematic study to analyze the effects of the \(\alpha \)-decay energy through the effective sharp radius parameter on the \(\alpha \)-decay half-lives of 227 nuclei in the range \(61 \le Z \le 99\). Wentzel-Kramers-Brillouin (WKB) calculations with the proximity potential Zhang 2013 are carried out to obtain the theoretical values of the \(\alpha \)-decay half-lives. In this work, we introduce a new \(Q_{\alpha }\)-dependent (QD) form of the effective sharp radius which significantly reduces the standard deviation of estimated half-lives using the Zhang 2013 model in comparison with the corresponding experimental data in our selected mass range. We evaluate the validity of this simple formula using the Geiger-Nuttall (G-N) plots and semi-empirical formulas. The modified form of the Zhang 2013 model is also found to work well in \(\alpha \)-decay studies of superheavy nuclei (SHN) with \(Z=117-120\). Our results reveal that the calculated half-lives for the use of new proposed form of the effective sharp radius in the proximity potential can reproduce the closed-shell effects at neutron magic number \(N=126\) and \(N=184\).

在邻近形式主义的框架内，我们提供了系统的研究，以通过有效的尖锐半径参数对227个核的\（\ alpha \）衰变半衰期分析\（\ alpha \）衰变能量的影响。在\（61 \ le Z \ le 99 \）范围内。对Wentzel-Kramers-Brillouin（WKB）进行了近似电位Zhang 2013的计算，以得出\（\ alpha \）衰变半衰期的理论值。在这项工作中，我们引入了一个新的\（Q _ {\ alpha} \）相依的（QD）形式的有效锐角半径，与我们选择的质量范围内的相应实验数据相比，使用Zhang 2013模型可显着降低估计的半衰期的标准偏差。我们使用Geiger-Nuttall（GN）图和半经验公式来评估此简单公式的有效性。在具有（Z = 117-120 \）的超重核（SHN）的\（\ alpha \）衰减研究中，也发现了Zhang 2013模型的修改形式。我们的结果表明，使用新提议形式的有效邻近半径中的有效锐角半径计算出的半衰期可以在中子魔术数\（N = 126 \）和\（N = 184 \ ）。