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Solving the Bethe-Salpeter equation in Minkowski space for a fermion-scalar system

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Author(s):
Nogueira, J. H. Alvarenga ; Gherardi, V. ; Frederico, T. ; Salme, G. ; Colasante, D. ; Pace, E.
Total Authors: 6
Document type: Journal article
Source: PHYSICAL REVIEW D; v. 100, n. 1, p. 21-pg., 2019-07-29.
Abstract

The ladder Bethe-Salpeter equation of a bound (1/2)(+) system, composed by a fermion and a scalar boson, is solved in Minkowski space, for the first time. The formal tools are the same already successfully adopted for two-scalar and two-fermion systems, namely the Nakanishi integral representation of the Bethe-Salpeter amplitude and the light-front projection of the fulfilled equation. Numerical results are presented and discussed for two interaction kernels: (i) a massive scalar exchange and (ii) a massive vector exchange, illustrating both the correlation between binding energies and the interaction coupling constants, as well as the valence content of the interacting state, through the valence probabilities and the light-front momentum distributions. In the case of the scalar exchange, an interesting side effect, to be ascribed to the repulsion generated by the small components of the Dirac spinor, is pointed out, while for the vector exchange the manifestation of the helicity conservation opens new interesting questions to be addressed within a fully nonperturbative framework, as well as the onset of a scale-invariant regime. (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: 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)
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)