论文标题

使用有效的野外理论的最轻核系统磁性结构的第一原理建模

First-principles modelling of the magnetic structure of the lightest nuclear systems using effective field theory without pions

论文作者

De-Leon, Hilla, Gazit, Doron

论文摘要

众所周知,强烈的相互作用,即低能核能处的量子染色体动力学,在预测建模方面具有挑战性。在这里,我们使用最简单的核有效场理论(EFT),并表明,在具有$ a = 2 $和$ a = 3 $核的核系统的磁结构中,它是高度精确且预测性的。理论框架是具有接触相互作用的点核子的无挑战EFT(\ pilesseft),在扰动理论中始终扩展到近代领先的顺序(NLO),即仅包括11个低能量参数,并通过对理论上的贝耶斯对理论不确定性的新型Bayesian分析进行增强。该理论准确地预测了这些原子核在$ \ \ \ 1 \%$内的磁矩和反应的值中反映的壳结构,计算出理论不确定性。 我们表明,这个完美的预测起源于计算的隐式A-posteri属性,尤其是一个意外的小型扩展参数,以及两体同步电流的消失贡献。

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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