Exotic mesons at finite temperature and diffusion of heavy quarks in a magnetic field

• Grant number: 23/09097-9
• Support Opportunities: Scholarships abroad - Research Internship - Master's degree
• Effective date (Start): March 01, 2024
• Effective date (End): August 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Roldão da Rocha Junior
• Grantee: Bruno Pinheiro Toniato
• Supervisor: David Dudal
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
• Research place: University of Leuven, Kulak Kortrijk (KU Leuven), Belgium
• Associated to the scholarship: 22/15325-1 - Holographic QCD, exotic mesons and finite temperature corrections, BP.MS

Abstract

This project will develop and implement theoretical and phenomenological aspects of AdS/CFT holographic correspondences and AdS/QCD. We will investigate, in an extended AdS/QCD model, exotic mesons, including hadrocharmonium, hadronic molecules, and tetraquarks. This extended model consists of a deformation to the original soft-wall model dilaton profile. A new parameter beta is introduced in the gravitational action to account for the masses of heavy quarks and thus the nonlinear Regge trajectories appear on heavier mesonic families. As we set beta to zero, we return to the low quark mass (light mesons) description in this model. From this action, the mass spectra and the decay constants of these exotic mesons will be computed. We can add a black hole to the geometrical background of AdS space, dual to the quantum mechanical theory, to investigate the effects of finite temperature on this field theory. So the mass spectra and decay constants also will be computed for the nonquadratic dilaton at a finite temperature. This AdS space described can also be related to a very special fluid called Quark-Gluon Plasma (QGP) produced in heavy ion collision experiments. As experimentally measured, these collisions produce magnetic fields that alter the behavior of the plasma itself. A very important resonance in determining the proprieties of this fluid is the charmonium (quarks cc bound state). This is a heavy meson, so it is interesting to apply the nonquadratic dilaton to its description. Therefore we pretend to study these charmonium states with a nonquadratic dilaton in an external magnetic field. This can be done by using the DBI model, where the electromagnetic tensor F appears in a different way in the action, as in the investigation conducted by Dudal et al. in previous works. (AU)