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arXiv 2005.07943hep-ph
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具有接触相互作用的Minkowski空间中的三玻色子束缚态

Three-boson bound states in Minkowski space with contact interactions

E. Ydrefors, J. H. Alvarenga Nogueira, V. A. Karmanov, T. Frederico

摘要:

研究了具有接触相互作用的三玻色子束缚态在Minkowski空间中的结构。Faddeev-Bethe-Salpeter方程在Minkowski和Euclidean空间中求解。结果是在公平的协议可比量,如横向振幅时得到的光锋价波函数的纵向组成动量积分了。Minkowski空间的解决方案是通过使用最近提出的方法的基础上的传播和相互作用的四维积分方程的核的奇点直接积分数值。本文以Borromean系统为例,详细研究了类空动量和类时动量的Bethe-Salpeter顶点函数的Faddeev分量的复奇异结构。此外,我们还研究了横向振幅作为一种手段来获得双部分子的横向动量分布。在此之后,我们表明,包含在价波函数中的两体短程关联证明了当对有一个大的相对动量在背靠背的配置,其中一个Faddeev组件的Bethe-Salpeter振幅占主导地位的其他。在这种情况下,幂律行为的推导和数值证实。

英文摘要:

The structure of the three-boson bound state in Minkowski space is studied for a model with contact interaction. The Faddeev-Bethe-Salpeter equation is solved both in Minkowski and Euclidean spaces. The results are in fair agreement for comparable quantities, like the transverse amplitude obtained when the longitudinal constituent momenta of the light-front valence wave function are integrated out. The Minkowski space solution is obtained numerically by using a recently proposed method based on the direct integration over the singularities of the propagators and interaction kernel of the four-dimensional integral equation. The complex singular structure of the Faddeev components of the Bethe-Salpeter vertex function for space and time-like momenta in an example of a Borromean system is investigated in detail. Furthermore, the transverse amplitude is studied as a mean to access the double-parton transverse momentum distribution. Following that, we show that the two-body short-range correlation contained in the valence wave function is evidenced when the pair has a large relative momentum in a back-to-back configuration, where one of the Faddeev components of the Bethe-Salpeter amplitude dominates over the others. In this situation a power-law behavior is derived and confirmed numerically.

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。

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