偶偶核2_(1)^(+)态电四极矩的局域关联与对数N_(p)N_(n)系统性规律  

Local Correlation and Log-scale N_(p)N_(n) Scheme of 2_(1)^(+) Quadrupole Moments in Even-even Nuclei

作　　者：肖越 刘登 覃珍珍 雷杨 Yue XIAO;Deng LIU;Zhenzhen QIN;Yang LEI(School of Science,Southwest University of Science and Technology,Mianyang 621010,Sichuan,China;School of National Defense Science and Technology,,Southwest University of Science and Technology,Mianyang 621010,Sichuan,China)

机构地区：[1]西南科技大学数理学院,四川绵阳621010 [2]西南科技大学国防科技学院,四川绵阳621010

出　　处：《原子核物理评论》2023年第1期25-30,共6页Nuclear Physics Review

基　　金：四川省科技计划项目(2019JDRC0017);国家自然科学基金青年基金项目(12105234);西南科技大学博士基金项目(18zx7147);西南科技大学高教研究专项(19GJZX19)。

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_(p)N_(n)系统性演化,进而可以推得:在对数坐标的N_(p)N_(n) 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_(p)N_(n)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_(p)N_(n)线性演化特征是比较可靠的。使用这些局域关联与N_(p)N_(n)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。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_(p)N_(n) 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_(p)N_(n) scheme's linearity can reduce experimental uncertainty of the Ba quadrupole moments.

关 键 词：局域关联 N_(p)N_(n)系统性规律 核电四极矩 

分 类 号：O571.53[理学—粒子物理与原子核物理]