arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1611.03375hep-ph
收藏

MIT袋模型中的夸克轨道Angular Momentum

Quark Orbital Angular Momentum in the MIT Bag Model

A. Courtoy, A. S. Miramontes

摘要:

本文给出了与夸克轨道角动量有关的广义横动量分布{ \it,即} $F_{14}$,在MIT袋模型中。该模型已被修改,包括Peierls-Yoccoz投影恢复平移不变性。这样的修改允许更令人满意地满足基本求和规则,否则原始版本将不那么优雅地执行。使用相同的模型,我们通过Penttinen-Polyakov-Shuvaev-Strikman求和规则计算了对应于轨道角动量的扭转- $3$ GPD。最近,一个新的夸克轨道角动量的密度水平的两个定义之间的关系已经提出,我们在这里说明的模型。满足求和规则。仍然在MIT袋模型的框架内,我们分析了Wandzura-Wilczek表达的GPD的兴趣。真正的夸克胶子的贡献是直接评估由于运动方程的袋,它允许一个直接控制的运动学贡献的扭曲-3 GPD。

英文摘要:

We present the results for the Generalized Transverse Momentum Distribution related to quark Orbital Angular Momentum, {\it i.e.} $F_{14}$, in the MIT bag model. This model has been modified to include the Peierls--Yoccoz projection to restore translational invariance. Such a modification allows to fulfill more satisfactorily basic sum rules, that would otherwise be less elegantly carried out with the original version. Using the same model, we have calculated the twist-$3$ GPD that corresponds to Orbital Angular Momentum à la Ji, through the Penttinen--Polyakov--Shuvaev--Strikman sum rule. Recently, a new relation between the two definitions of the quark Orbital Angular Momentum at the density level has been proposed, which we illustrate here within the model. The sum rule is fulfilled. Still within the framework of the MIT bag model, we analyze the Wandzura--Wilczek expression for the GPD of interest. The genuine quark-gluon contribution is evaluated directly thanks to the equation of motion of the bag, which allows for a direct control of the kinematical contributions to the twist-3 GPD.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑