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Bethe-Salpeter approach to three-body bound states with zero-range interaction

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Author(s):
Ydrefors, E. ; Nogueira, J. H. Alvarenga ; Karmanov, V. A. ; Frederico, T. ; Guimaraes, V ; Genezini, F ; Lubian, J ; Assuncao, M ; Delgado, A ; Trevisan, LA
Total Authors: 10
Document type: Journal article
Source: WAKE CONFERENCE 2021; v. 1291, p. 6-pg., 2019-01-01.
Abstract

The Bethe-Salpeter equation for three scalar bosons, with zero-range interaction, is solved in Minkowski space by direct integration of the four-dimensional integral equation. The singularities occuring in the propagators are treated properly by standard analytical and numerical methods, without relying on any ansatz for the Bethe-Salpeter amplitude. The results for the binding energies and transverse amplitudes are compared with the results computed in Euclidean space. A fair agreement between the calculations is obtained. (AU)

FAPESP's process: 13/26258-4 - Superdense matter in the universe
Grantee:Manuel Máximo Bastos Malheiro de Oliveira
Support Opportunities: Research Projects - Thematic Grants
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 Opportunities: Research Projects - Thematic Grants
FAPESP's process: 14/19094-8 - Three-body heavy meson decay and CP violation
Grantee:Jorge Henrique de Alvarenga Nogueira
Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
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 Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 15/22701-6 - Theory of relativistic few-body systems and its applications to hadrons and nuclei
Grantee:Tobias Frederico
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 17/14695-1 - Exploring the hadron structure through the Bethe-Salpeter Equation in Minkowski space
Grantee:Jorge Henrique de Alvarenga Nogueira
Support Opportunities: Scholarships abroad - Research Internship - Doctorate (Direct)