Abstract

\(\alpha\) decay of 2000 parent heavy and superheavy nuclei, with atomic numbers in the range \(Z=80\) to \(Z=122\), is considered. We calculated the half-life time, \(T_{\alpha}\), of each nucleus using the density-dependent cluster model with M3Y-effective nucleon–nucleon interaction. The \(Q_{\alpha}\) values needed for calculation of \(T_{\alpha}\) were extracted from four different mass tables used frequently in \(\alpha\)-decay calculation. These tables are WS4, WS3, FRDM(2012), and DZ tables. The present study shows to what extent the behavior and value of \(T_{\alpha}\), as the nucleon number varies, depends on choosing the mass table used to extract \(Q_{\alpha}\) values. For this purpose, we studied the variation of log \(T_{\alpha}\) and the corresponding \(1/Q_{\alpha}\) with the neutron number of the daughter nucleus, \(N_{d}\), using the four different mass tables. The results show that the log \(T_{\alpha}\) variation follows the corresponding \(1/Q_{\alpha}\) variation. The two mass tables WS3 and WS4 predict almost the same log \(T_{\alpha}\) variation and agree in the magic and semi-magic numbers. For FRDM(2012) and DZ tables the variation of log \(T_{\alpha}\) with \(N_{d}\) follows the same \(1/Q_{\alpha}\) variation but the magic numbers deduced from these two tables do not agree with each other and almost differ from those predicted from WS3 and WS4. FRDM(2012) tables predict the main deep minimum at \(N_{d}=128\) instead of the magic neutron number \(N_{d}=126\).

中文翻译：

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$$ {\ alpha} $$-衰变半衰期的行为与$$ \ boldsymbol {Q} $$值与子核的中子数变化之间的相关性

摘要

\（\阿尔法\）的2000父重和超重核，与在范围内的原子序数衰变\（Z = 80 \）到\（Z = 122 \） ，被认为是。我们使用具有M3Y有效核子-核子相互作用的密度依赖性簇模型，计算了每个核的半衰期时间\（T _ {\ alpha} \）。计算\（T _ {\ alpha} \）所需的\（Q _ {\ alpha} \）值是从\（\ alpha \）衰减计算中经常使用的四个不同质量表中提取的。这些表是WS4，WS3，FRDM（2012）和DZ表。本研究表明\（T _ {\ alpha} \）的行为和值在多大程度上，随着核子数的变化，取决于选择用于提取\（Q _ {\ alpha} \）值的质量表。为此，我们研究了对数\（T _ {\ alpha} \）和相应的\（1 / Q _ {\ alpha} \）随子核的中子数\（N_ {d} \）的变化。，使用四个不同的质量表。结果表明，对数\（T _ {\ alpha} \）的变化遵循相应的\（1 / Q _ {\ alpha} \）的变化。两个质量表WS3和WS4预测几乎相同的对数\（T _ {\ alpha} \）变化，并且在幻数和半幻数上一致。对于FRDM（2012）和DZ表，日志\（T _ {\ alpha} \）的变化为\（N_ {d} \）遵循相同的\（1 / Q _ {\ alpha} \）变体，但是从这两个表推导出的幻数彼此不一致，并且几乎与从WS3和WS4预测的幻数不同。FRDM（2012）表预测的主深最小值为\（N_ {d} = 128 \）而不是魔术中子数\（N_ {d} = 126 \）。