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Relativistic few-body problems and antiproton reactions

Grant number: 18/21758-2
Support type:Scholarships abroad - Research Internship - Post-doctor
Effective date (Start): May 01, 2019
Effective date (End): April 30, 2020
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal Investigator:Tobias Frederico
Grantee:Emanuel Arthur Ydrefors
Supervisor abroad: Jaume Carbonell
Home Institution: Divisão de Ciências Fundamentais (IEF). Instituto Tecnológico de Aeronáutica (ITA). Ministério da Defesa (Brasil). São José dos Campos , SP, Brazil
Local de pesquisa : Institut de Physique Nucléaire Orsay (IPN Orsay), France  
Associated to the scholarship:16/25143-7 - Relativistic two and three-body problems in Minkowski space in (2+1) and (3+1) dimensions, BP.PD

Abstract

The project to be developed during the one year research stay in the Institut de Physique Nucleaire d'Orsay (INPO), under supervision of Prof. Jaume Carbonell, has two general goals: (i) perform theoretical studies of antiprotonic atoms, and (ii) solve the two- and three-body Bethe-Salpeter equations in Minkowski space. For the first goal, we will compute the annihilation rates and widths of protonium for different antinucleon-nucleon interactions by solving the coupled-channel Schroedinger equation. Furthermore, we plan to study light antiprotonic atoms by solving the Faddeev-Yakubovski equations.This study has important implications for experiments, e.g.~ the proposed PUMA (anti-Proton Unstable Matter Annihilation) experiment at CERN, aiming at using antiprotons for studies of neutron skin and halo nuclei. For the second goal, we will extend our studies of the two- and three-body Bethe-Salpeter equations in Minkowski space exploring both numerically and formally the associated singular integral equations. A special effort will be devoted to study both the bound and scattering states of the two-fermion or fermion-antifermion systems. In the scattering regime this framework could be used to study the relativistic effects on nucleon-antinucleon interactions. Additionally, we plan to explore the relativistic bound-state system of three spinless bosons with finite-range interaction, which is connected with important phenomena in nuclear and atomic physics.The project aims thus to cover applications in low energy anti-proton physics, but also in high energy relativistic physics, e.g for the description of hadrons and light nuclei. The fully relativistic treatment of few-nucleon systems will allow us, among other things, to improve the description of the neutrino-deuteron scattering cross sections in the high-energy regime.