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A new empirical formula for α-decay half-life and decay chains of Z=120 isotopes
Physica Scripta ( IF 2.6 ) Pub Date : 2021-08-19 , DOI: 10.1088/1402-4896/ac1a4d
G Saxena 1 , A Jain 1, 2 , P K Sharma 3
Affiliation  

Experimental α-decay half-life, spin, and parity of 398 nuclei in the range $50\leqslant $ Z $\leqslant 118$ are utilized to propose a new formula (QF) with only 4 coefficients as well as to modify the Tagepera-Nurmia formula with just 3 coefficients (MTNF) by employing nonlinear regressions. These formulas, based on reduced mass (μ) and angular momentum taken away by the α-particle, are ascertained very effective for both favoured and unfavoured α-decay in addition to their excellent match with all (Z, N) combinations of experimental α-decay half-lives. After comparing with similar other empirical formulas of α-decay half-life, QF and MTNF formulas are purported with accuracy, minimum uncertainty and deviation, dependency on least number of fitted coefficients together with less sensitivity to the uncertainties of Q-values. The QF formula is applied to predict α-decay half-lives for 724 favoured and 635 unfavoured transitions having experimentally known Q-values. Moreover, these available Q-values are also employed to test various theoretical approaches viz. RMF, FRDM, WS4, RCHB, etc along with machine learning method XGBoost for determining theoretical Q-values, incisively. Thereafter, using Q-values from the most precise theoretical treatment mentioned above along with the proposed formulas, probable α-decay chains for Z=120 isotopes are identified.



中文翻译:

Z=120同位素α衰变半衰期和衰变链的新经验公式

利用Z范围内 398 个原子核的实验性α-衰变半衰期、自旋和奇偶校验,提出了一个只有 4 个系数的新公式 (QF),并修改了只有 3 个系数的 Tagepera-Nurmia 公式 (MTNF)通过使用非线性回归。这些公式基于减少的质量 ( μ ) 和被α粒子带走的角动量,除了与实验α 的所有 (Z, N) 组合极好匹配外,还确定对有利和不利的α衰变都非常有效- 衰减半衰期。与其他类似的α经验公式比较后$50\leqslant $$\leqslant 118$-衰变半衰期、QF 和 MTNF 公式声称具有准确性、最小不确定性和偏差、依赖于最少数量的拟合系数以及对Q 值不确定性的较低敏感性。QF 公式用于预测具有实验已知Q 值的724 个有利和 635 个不利跃迁的α衰变半衰期。此外,这些可用的Q 值也用于测试各种理论方法,即。RMF、FRDM、WS4、RCHB 等以及机器学习方法 XGBoost 用于精确地确定理论Q 值。此后,使用Q- 来自上述最精确理论处理的值以及建议的公式,确定了 Z = 120 同位素的可能的α -衰变链。

更新日期:2021-08-19
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