具有自适应基和超球谐函数的电磁求和规则的基准计算
Benchmark calculations of electromagnetic sum rules with a symmetry-adapted basis and hyperspherical harmonics
摘要：
我们证明了计算电磁和规则的能力与\textit{ab initio}的灵活适应无芯壳模型。通过实施Lanczos算法，我们计算非能量加权，能量加权，和逆能量加权和规则的电偶极，偶极和四极跃迁在$^4$他使用现实的相互作用。我们基准的结果与超球谐函数的方法，并显示协议内$2σ$，其中的不确定性估计使用的多体技术。我们调查的结果依赖于三种不同的相互作用，包括手征势，我们报告的$^4$他的电偶极子极化率计算的SA-NCSM再现的实验数据和早期的理论结果。我们还详细介绍了一种新的使用劳森程序，以消除虚假的质心贡献的总和规则，产生使用实验室框架坐标。我们进一步表明，这种相同的技术可以应用在洛伦兹积分变换方法，着眼于研究光通过中等质量核的电磁反应。
英文摘要：
We demonstrate the ability to calculate electromagnetic sum rules with the \textit{ab initio} symmetry-adapted no-core shell model. By implementing the Lanczos algorithm, we compute non-energy weighted, energy weighted, and inverse energy weighted sum rules for electric monopole, dipole, and quadrupole transitions in $^4$He using realistic interactions. We benchmark the results with the hyperspherical harmonics method and show agreement within $2σ$, where the uncertainties are estimated from the use of the many-body technique. We investigate the dependence of the results on three different interactions, including chiral potentials, and we report on the $^4$He electric dipole polarizability calculated in the SA-NCSM that reproduces the experimental data and earlier theoretical outcomes. We also detail a novel use of the Lawson procedure to remove the spurious center-of-mass contribution to the sum rules that arises from using laboratory-frame coordinates. We further show that this same technique can be applied in the Lorentz integral transform method, with a view toward studies of electromagnetic reactions for light through medium-mass nuclei.
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