论文标题
经验壳模型中过渡算子的不确定性量化
Uncertainty quantification of transition operators in the empirical shell model
论文作者
论文摘要
虽然几十年来，经验壳模型计算已经成功地描述了低洼的核数据，但直到最近才付出了巨大的努力来量化此类计算中的不确定性。在这里，我们在$ SD $中的过渡计算中量化了有效参数的统计错误（$ 1S_ {1/2} $ - $ 0D_ {3/2} $ - $ 0D_ {5/2} $）价值空间，特别是对Gamow-teller Triestitions的静止费用，有效的电费（有效），并有效地（E2）磁偶极子（M1）跃迁的耦合。我们发现，相对于自由空间值的Gamow-Teller转变的淬火因子受到严格的约束，并且E2的等轴耦合比等异位耦合要严格得多。对于有效的M1耦合，我们发现ISOVETOR成分比等iSscalar更受限，但是要获得任何明智的结果，我们必须固定四个耦合之一。这种不确定性的详细量化虽然高度经验，但仍是解释实验的重要一步。
While empirical shell model calculations have successfully described low-lying nuclear data for decades, only recently has significant effort been made to quantify the uncertainty in such calculations. Here we quantify the statistical error in effective parameters for transition operators in empirical calculations in the $sd$ ($1s_{1/2}$-$0d_{3/2}$-$0d_{5/2}$) valence space, specifically the quenching of Gamow-Teller transitions, effective charges for electric quadrupole (E2) transitions, and the effective orbital and spin couplings for magnetic dipole (M1) transitions. We find the quenching factor for Gamow-Teller transitions relative to free-space values is tightly constrained and that the isoscalar coupling of E2 is much more tightly constrained than the isovector coupling. For effective M1 couplings, we found isovector components more constrained than isoscalar, but that to get any sensible result we had to fix one of four couplings. This detailed quantification of uncertainties, while highly empirical, nonetheless is an important step towards interpretation of experiments.
