用无π介子的有效场论模拟最轻核系统的磁结构
First-principles modelling of the magnetic structure of the lightest nuclear systems using effective field theory without pions
摘要：
强相互作用，即，众所周知，低能核区域的量子色动力学对于预测建模是具有挑战性的。在这里，我们使用最简单的可能的核有效场论（EFT），并表明，在具有$A=2$和$A=3$核子的核系统的磁结构的情况下，它是高度精确的，以及预测。理论框架是具有接触相互作用的点核子的无π介子EFT（\pilesseft），在微扰理论中一直扩展到次领先阶（NLO），即，包括只有11个低能量参数，并增加了一个新的贝叶斯理论的不确定性分析。该理论准确地预测壳结构反映在值的磁矩和反应的这些核内$\approx 1\%$计算的理论不确定性。我们表明，这种完美的预测起源于隐式的后验性质的计算，特别是一个意想不到的小膨胀参数，以及从两体等谐电流的贡献消失。
英文摘要：
The strong interaction, i.e., quantum chromodynamics at the low energy nuclear regime, is notoriously known to be challenging for predictive modeling. Here, we use the simplest possible nuclear effective field theory (EFT), and show that in the case of the magnetic structure of nuclear systems with $A=2$ and $A=3$ nucleons, it is highly precise as well as predictive. The theoretical framework is the pionless EFT (\pilesseft), of point nucleons with contact interactions, expanded consistently up to next-to-leading order (NLO) in perturbation theory, i.e., including only eleven low-energy parameters, and augmented by a novel Bayesian analysis of theoretical uncertainties. The theory accurately predicts the shell structure reflected in the values of the magnetic moments and reactions of these nuclei within $\approx 1\%$ calculated theoretical uncertainty. We show that this perfect prediction originates in implicit a-posteriori properties of the calculation, particularly an unexpectedly small expansion parameter, as well as a vanishing contribution from the two-body isoscalar current.
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