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肖越, 刘登, 覃珍珍, 雷杨. 偶偶核$2_1^+ $态电四极矩的局域关联与对数NpNn系统性规律[J]. 原子核物理评论, 2023, 40(1): 25-30. DOI: 10.11804/NuclPhysRev.40.2022051
引用本文: 肖越, 刘登, 覃珍珍, 雷杨. 偶偶核$2_1^+ $态电四极矩的局域关联与对数NpNn系统性规律[J]. 原子核物理评论, 2023, 40(1): 25-30. DOI: 10.11804/NuclPhysRev.40.2022051
Yue XIAO, Deng LIU, Zhenzhen QIN, Yang LEI. Local Correlation and Log-scale NpNn Scheme of ${{2_1^+ }}$ Quadrupole Moments in Even-even Nuclei[J]. Nuclear Physics Review, 2023, 40(1): 25-30. DOI: 10.11804/NuclPhysRev.40.2022051
Citation: Yue XIAO, Deng LIU, Zhenzhen QIN, Yang LEI. Local Correlation and Log-scale NpNn Scheme of ${{2_1^+ }}$ Quadrupole Moments in Even-even Nuclei[J]. Nuclear Physics Review, 2023, 40(1): 25-30. DOI: 10.11804/NuclPhysRev.40.2022051

偶偶核2_1^+ 态电四极矩的局域关联与对数NpNn系统性规律

Local Correlation and Log-scale NpNn Scheme of 2_1^+ Quadrupole Moments in Even-even Nuclei

  • 摘要: 相邻原子核2_1^+态的电四极矩之间的局域关联可由轴对称转子模型和非简谐振子模型推导得到。这种局域关联所对应的偏微分方程可以约束电四极矩的N_\rmpN_\rmn系统性演化,进而可以推得:在对数坐标的N_\rmpN_\rmn scheme中,电四极矩应具有线性演化特征。这一特征与偶偶核2_1^+态的激发能及其跃迁至基态的约化跃迁几率的N_\rmpN_\rmn系统性规律类似。实验数据也证实了2_1^+态电四极矩局域关联及对数N_\rmpN_\rmn线性演化特征是比较可靠的。使用这些局域关联与N_\rmpN_\rmn系统演化规律,还对未知电四极矩进行了预言,同时也减少了Ba同位素电四极矩实验数据上的不确定性。

     

    Abstract: The local correlation between the electric quadrupole moments of 2_1^+ states of adjacent nuclei can be obtained with the axially symmetric rotor model and anharmonic vibrator model. A partial differential equation corresponding to this local correlation requires that the nuclear electric moments should be linearly correlated with the logarithmic N_\rmpN_\rmn scheme. This linearity is similar to those of the excitation energy and reduced transition probability to ground states of 2_1^+ states in even-even nuclei. The experimental data confirm our understanding on the systematics of the nuclear electric moments. By utilizing local correlation, we can make predictions about quadrupole moments that have not yet been measured in experiment. Additionally, the logarithmic N_\rmpN_\rmn scheme's linearity can reduce experimental uncertainty of the Ba quadrupole moments.

     

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