论文标题

迪特隆形式因素的扰动计算

Perturbative Calculations of Deuteron Form Factors

论文作者

Shi, Wenchao, Peng, Rui, Liu, Tai-Xing, Lyu, Songlin, Long, Bingwei

论文摘要

我们在手性有效野外理论中计算杜特隆电荷,电四极杆和磁性形式,直到近代到领先的顺序,在扰动理论中处理过倾斜的校正,尤其是手性核力量的校正。我们通过研究这些形式的紫外线截止变化来检查基于天真的维度分析的功率计数。我们发现n $ {}^2 $ lo磁性表格显示出明显的截止依赖性,这表明可以增强接触电流运算符。在升级为n $ {}^2 $ lo之后,它确实将磁性颜色归一致。这与基于重归于组分析的先前工作一致。对于电荷和四极矩,扰动计算使我们能够研究它们如何用多个低能参数(例如斜向质量,迪特龙结合动量和动量转移)进行缩放。

We calculate the deuteron charge, electric quadrupole, and magnetic form factors up to next-to-next-to-leading order in chiral effective field theory, treating subleading corrections, especially that of chiral nuclear forces, in perturbation theory. We examine the power counting based on naive dimensional analysis by investigating the ultraviolet cutoff variation of these form factors. We find that the N${}^2$LO magnetic form factor shows significant cutoff dependence, suggesting the contact current operator responsible be enhanced. After promotion to N${}^2$LO, it indeed renormalizes the magnetic form factor. This is in agreement with a previous work based on renormalization-group analysis. For the charge and quadrupole moments, perturbative calculation allows us to study how they scale with multiple low-energy parameters such as the pion mass, deuteron binding momentum, and momentum transfer.

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