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# Relativistic two and three-body problems in Minkowski space in (2+1) and (3+1) dimensions

 Grant number: 16/25143-7 Support type: Scholarships in Brazil - Post-Doctorate Effective date (Start): April 01, 2017 Effective date (End): March 31, 2021 Field of knowledge: Physical Sciences and Mathematics - Physics - Nuclear Physics Cooperation agreement: Coordination of Improvement of Higher Education Personnel (CAPES) Principal Investigator: Tobias Frederico Grantee: Emanuel Arthur Ydrefors Home Institution: Divisão de Ciências Fundamentais (IEF). Instituto Tecnológico de Aeronáutica (ITA). Ministério da Defesa (Brasil). São José dos Campos , SP, Brazil Associated research grant: 13/26258-4 - Superdense matter in the universe, AP.TEM Associated scholarship(s): 18/21758-2 - Relativistic few-body problems and antiproton reactions, BE.EP.PD Abstract This project aims to study relativistic two-and three-body problems in the context of hadron and condensed matter physics.We will address hadronic systems in the non-perturbative regime and applications to high-energy neutrino physics.Our study will be based on solution of the two- and three-body Bethe-Salpeter equations in Minkowski space, either by using direct methods or light-front dynamics. We will explore the properties of bound and scattering states, developing theoretical and numerical tools in order to solve the corresponding systems of integral equations.A special effort will be devoted to studies of two-fermion systems and, in particular, the deuteron. As one application,we intend to compute the electroweak elastic and transition form factors of the deuteron and also the neutrino response. The project will thus have important applications in neutrino physics as well as in astrophysics. As a part of the studies we will investigate the response of relativistic systems to different contributions to the interaction kernel, e.g. ladder and cross-ladder contributions as well as self-energy insertions.Furthermore, we plan to explore the stability of the three-boson system with a zero-range interaction ($\varphi^4$ theory) within the relativistic approach to the Faddeev decomposition of the light-front dynamics and Bethe-Salpeter equations, investigating effects on the observables due to three-body forces and contributions from higher Fock sectors, beyond the valence component. We also plan to use the techniques developed in the project to study the two-fermion systems in 2+1 dimensions envisaging applications to excitons in condensed matter problems. (AU)

Scientific publications (8)
(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. Three-boson bound states in Minkowski space with contact interactions. Physical Review D, v. 101, n. 9 MAY 26 2020. Web of Science Citations: 0.
ALMOSLY, W.; CARLSSON, B. G.; SUHONEN, J.; YDREFORS, E. Neutral-current supernova-neutrino cross sections for Pb-204,Pb-206,Pb-208 calculated by Skyrme quasiparticle random-phase approximation. Physical Review C, v. 99, n. 5 MAY 1 2019. Web of Science Citations: 1.
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: 2.
PIRINEN, P.; SUHONEN, J.; YDREFORS, E. Charged-current neutrino-nucleus scattering off Xe isotopes. Physical Review C, v. 99, n. 1 JAN 25 2019. Web of Science Citations: 1.
NOGUEIRA, J. H. ALVARENGA; YDREFORS, E.; FREDERICO, T.; SALME, G. Relativistic Studies of Few-Body Systems Using the Bethe-Salpeter Approach. FEW-BODY SYSTEMS, v. 59, n. 5 SEP 2018. Web of Science Citations: 0.
ALVARENGA NOGUEIRA, J. H.; JI, CHUENG-RYONG; YDREFORS, E.; FREDERICO, T. Color-suppression of non-planar diagrams in bosonic bound states. Physics Letters B, v. 777, p. 207-211, FEB 10 2018. Web of Science Citations: 2.
PIRINEN, P.; SUHONEN, J.; YDREFORS, E. Neutral-Current Neutrino-Nucleus Scattering off Xe Isotopes. Advances in High Energy Physics, 2018. Web of Science Citations: 9.
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.

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