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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Three-boson bound states in Minkowski space with contact interactions

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Author(s):
Ydrefors, E. [1, 2] ; Alvarenga Nogueira, J. H. [1, 3] ; Karmanov, V. A. [4] ; Frederico, T. [1]
Total Authors: 4
Affiliation:
[1] Inst Tecnol Aeronaut, DCTA, BR-12228900 Sao Jose Dos Campos - Brazil
[2] Univ Paris Saclay, IJCLab, CNRS IN2P3, F-91405 Orsay - France
[3] Univ Roma La Sapienza, Dipartimento Fis, Ist Nazl Fis Nucl, Sez Roma La Sapienza, Piazzale A Moro 5, I-00187 Rome - Italy
[4] Lebedev Phys Inst, Leninsky Prospekt 53, Moscow 119991 - Russia
Total Affiliations: 4
Document type: Journal article
Source: Physical Review D; v. 101, n. 9 MAY 26 2020.
Web of Science Citations: 0
Abstract

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. (AU)

FAPESP's process: 14/19094-8 - Three-body heavy meson decay and CP violation
Grantee:Jorge Henrique de Alvarenga Nogueira
Support type: Scholarships in Brazil - Doctorate (Direct)
FAPESP's process: 18/21758-2 - Relativistic few-body problems and antiproton reactions
Grantee:Emanuel Arthur Ydrefors
Support type: Scholarships abroad - Research Internship - Post-doctor
FAPESP's process: 16/25143-7 - Relativistic two and three-body problems in Minkowski space in (2+1) and (3+1) dimensions
Grantee:Emanuel Arthur Ydrefors
Support type: Scholarships in Brazil - Post-Doctorate
FAPESP's process: 15/22701-6 - Theory of relativistic few-body systems and its applications to hadrons and nuclei
Grantee:Tobias Frederico
Support type: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 17/05660-0 - Theoretical studies of the structure and reactions of exotic nuclei and many-body systems
Grantee:Brett Vern Carlson
Support type: Research Projects - Thematic Grants