中文摘要：

为了研究一个能较好描述实验数据的联系双β衰变半衰期和衰变能的唯象学公式的物理意义,通过对双β衰变相空间因子的分析,给出了该唯象学公式中双β衰变半衰期的对数和衰变能的反比关系的物理来源的一个可能的解释。此外,在该唯象学公式的基础上,基于壳模型理论,对该唯象学公式做出了改进。结果表明,唯象学公式中的对数反比关系是由双β衰变的相空间因子所造成的。按照改进后的公式所计算得到的双β衰变半衰期的对数的理论值与实验值之间的平均偏差由原本的0.486下降到了0.408。

英文摘要：

In order to study the physical interpretation of a phenomenological formula which can well describe the available experimental data and connects double-beta decay half-lives and decay energy,a convincible explanation for the source of the inverse relationship between the logarithm of the double-beta decay halflife and the decay energy in the phenomenological formula is proposed based on the analyses of double-beta decay phasespace factor. In addition,based on shell model theory,a slight modification to the phenomenological formula is proposed,which can further improve the description of the experimental data. The results indicate that double-beta decay phasespace factor is the source of the inverse relationship between the logarithm of the double-beta decay half-life and the decay energy in the phenomenological formula. By using the new formula,the average deviation between theoretical and experimental values of the logarithms of the double-beta decay half-lives reduces from 0. 486 to 0. 408.