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Theory of relativistic few-body systems and its applications to hadrons and nuclei

Grant number: 15/22701-6
Support type:Research Grants - Visiting Researcher Grant - International
Duration: March 01, 2016 - December 31, 2016
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal Investigator:Tobias Frederico
Grantee:Tobias Frederico
Visiting researcher: Vladimir Karmanov
Visiting researcher institution: Russian Academy of Sciences (RAS), Russia
Home Institution: Divisão de Ciências Fundamentais (IEF). Instituto Tecnológico de Aeronáutica (ITA). Ministério da Defesa (Brasil). São José dos Campos , SP, Brazil


The main aim of the project is to apply the methods developed for solving the Bethe-Salpeter equation in Minkwoski space, as well as the light-front dynamics, to the bound and scattering states, both for two- and three-body systems. In the Bethe-Salpeter framework, two main approaches will be used: (i) direct integration in Minkowski four-dimensional momentum space and (ii) the Nakanishi perturbative integral representation of the Bethe-Salpeter amplitudes, which simplifies the analytic structure of the kernel. The Nakanishi representation will be used also forthe light-front wave function. The ladder approximation will be considered, andpossibly other two-body irreducible contributions will be included in the kernel. Inthe context of hadronic and nuclear physics, this will enable applications to meson-meson, meson-nucleon and nucleon-nucleon scattering. In the three-body systems, the three-body forces of relativistic origin will be studied non-perturbatively. The stability of the three-body system with the zero range interaction will be investigated in the BSE framework as well as influence of relativistic dynamics on theEfimov physics. (AU)

Scientific publications (6)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
YDREFORS, E.; ALVARENGA NOGUEIRA, J. H.; KARMANOV, V. A.; FREDERICO, T. Solving the three-body bound-state Bethe-Salpeter equation in Minkowski space. Physics Letters B, v. 791, p. 276-280, APR 10 2019. Web of Science Citations: 1.
KARMANOV, V. A.; CARBONELL, J.; FREDERICO, T. Equation for the Nakanishi Weight Function Using the Inverse Stieltjes Transform. FEW-BODY SYSTEMS, v. 59, n. 3 MAY 2018. Web of Science Citations: 0.
YDREFORS, E.; ALVARENGA NOGUEIRA, J. H.; GIGANTE, V.; FREDERICO, T.; KARMANOV, V. A. Three-body bound states with zero-range interaction in the Bethe-Salpeter approach. Physics Letters B, v. 770, p. 131-137, JUL 10 2017. Web of Science Citations: 3.
CARBONELL, J.; FREDERICO, T.; KARMANOV, V. A. Bound state equation for the Nakanishi weight function. Physics Letters B, v. 769, p. 418-423, JUN 10 2017. Web of Science Citations: 7.
GIGANTE, V.; ALVARENGA NOGUEIRA, J. H.; YDREFORS, E.; GUTIERREZ, C.; KARMANOV, V. A.; FREDERICO, T. Bound state structure and electromagnetic form factor beyond the ladder approximation. Physical Review D, v. 95, n. 5 MAR 10 2017. Web of Science Citations: 8.
CARBONELL, J.; FREDERICO, T.; KARMANOV, V. A. Euclidean to Minkowski Bethe-Salpeter amplitude and observables. EUROPEAN PHYSICAL JOURNAL C, v. 77, n. 1 JAN 28 2017. Web of Science Citations: 7.

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