期刊
PHYSICAL REVIEW D
卷 101, 期 9, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.101.096018
关键词
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资金
- Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq) of Brazil
- Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior (CAPES) of Brazil
- Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) [2014/19094-8, 2015/22701-6, 2016/25143-7, 2018/21758-2]
- FAPESP Thematic Project [17/05660-0]
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 timelike 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.
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