E2与半径观测量无量纲比值的稳健从头预测。II. 通过校准电荷半径来估计E2跃迁强度
Robust ab initio predictions for dimensionless ratios of E2 and radius observables. II. Estimation of E2 transition strengths by calibration to the charge radius
AI总结:
针对NCCI方法中E2观测量收敛困难的问题,利用E2与半径观测量的系统关联,通过校准实验已知的基态电荷半径,实现了对p壳层原子核E2跃迁强度的有意义预测。
摘要:
在从头算无核心组态相互作用(NCCI)方法中,获得E2观测量的收敛结果是非常困难的。E2算符的矩阵元对核波函数的大距离尾部很敏感,而该尾部在谐振子基展开中收敛缓慢。类似的收敛困难也困扰着核半径的从头预测。然而,我们利用计算出的E2与半径观测量之间的系统性关联,得出了这些观测量之间关系的有意义预测。特别地,我们考察了整个p壳层原子核形如B(E2)/(e^2r^4)无量纲比值的从头预测。若实验已知基态电荷半径,则可通过校准该半径对E2跃迁强度做出有意义的预测。
英文摘要:
Converged results for E2 observables are notoriously challenging to obtain in ab initio no-core configuration interaction (NCCI) approaches. Matrix elements of the E2 operator are sensitive to the large-distance tails of the nuclear wave function, which converge slowly in an oscillator basis expansion. Similar convergence challenges beset ab initio prediction of the nuclear charge radius. However, we exploit systematic correlations between the calculated E2 and radius observables to yield meaningful predictions for relations among these observables. In particular, we examine ab initio predictions for dimensionless ratios of the form B(E2)/(e^2r^4), for nuclei throughout the p shell. Meaningful predictions for E2 transition strengths may then be made by calibrating to the ground-state charge radius, if experimentally known.
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