论文标题

在$χ$ eft方法中,在高动量转移下以高动量转移的磁性结构

Magnetic structure of few-nucleon systems at high momentum transfers in a $χ$EFT approach

论文作者

Gnech, Alex, Schiavilla, Rocco

论文摘要

在手学有效野外理论($χ$ eft)中的电磁电流中,五个低能常数(LEC)最多一个循环确定,由同时拟合$ a \,$ = $ = $ = $ = $ = $ -3核 - 3个核 - 3个核 - 3个核磁矩,并屈服于deuteron磁性的形态和阈值电位,而不是倾斜的电位范围。然后,由此产生的参数化产生了$^3 $ He/$^3 $ h磁性形式的预测,与$ \ $ eft方法的预期有效性状态超出了预期的有效性状态,符合最高$ \ $ \ $ \ $ \ $ \ $ \ $ \ $ \ $ \ $ \ 0.8 $ gev/c的实验值。该计算基于最后一代的两核互动,包括手性膨胀中的高阶,并由Entem,Macheleidt和Nosyk [phys。\ rev. \ rev. \ c {\ bf 96},024004(2017)]和piarulli {\ it. e e e e et and py. c c c c c c {\ c c c c c c。 (2016)],使用不同的$χ$ eft公式。在$ a \,$ = $ \,3 $计算中,(手性)三核互动也被解释了。发现相互作用的这些不同公式产生的模型依赖性被认为是轻度的,对于$ \ \ \ \ 0.8 $ gev/c的动量转移。还提供了手性膨胀的收敛性分析。

The five low-energy constants (LECs) in the electromagnetic current derived in chiral effective field theory ($χ$EFT) up to one loop are determined by a simultaneous fit to the $A\,$=$\,2$--3 nuclei magnetic moments and to the deuteron magnetic form factor and threshold electrodisintegration at backward angles over a wide range of momentum transfers. The resulting parametrization then yields predictions for the $^3$He/$^3$H magnetic form factors in excellent accord with the experimental values for momentum transfers ranging up to $\approx 0.8$ GeV/c, beyond the expected regime of validity of the $χ$EFT approach. The calculations are based on last-generation two-nucleon interactions including high orders in the chiral expansion and derived by Entem, Macheleidt, and Nosyk [Phys.\ Rev.\ C {\bf 96}, 024004 (2017)] and by Piarulli {\it et al.} [Phys.\ Rev.\ C {\bf 94}, 054007 (2016)], using different $χ$EFT formulations. In the $A\,$=$\,3$ calculations, (chiral) three-nucleon interactions are also accounted for. The model dependence resulting from these different formulations of the interactions is found to be mild for momentum transfer below $\approx0.8$ GeV/c. An analysis of the convergence of the chiral expansion is also provided.

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