Dimensional aspects in few-body physics and applications in light exotic nuclei

• Grant number: 23/02261-8
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: June 01, 2023
• End date: February 29, 2024
• Field of knowledge: Physical Sciences and Mathematics - Physics - Nuclear Physics
• Principal Investigator: Tobias Frederico
• Grantee: Dérick dos Santos Rosa
• Host Institution: Divisão de Ciências Fundamentais (IEF). Instituto Tecnológico de Aeronáutica (ITA). Ministério da Defesa (Brasil). São José dos Campos , SP, Brazil
• Associated research grant: 19/07767-1 - Nuclear reactions with weakly-bound or cluster-structured radioactive and stable nuclei, AP.TEM

Abstract

Our proposal aims to continue the FAPESP postdoctoral project under the process number 2020/00560-0 including now, the study of light exotic nuclei applying the analytical methods developed in the exploration of few-body physics in non-integer dimensions, where the dependence on the binding energy of the Efimov states was obtained in an explicit way, generalizing the known log-periodic form, allowing its application beyond the atomic context, where we can compute structure observables like radii, momentum distributions and density of light exotic nuclei characterized by a core and two neutrons, as for example 11Li, 14Be,19B, 20C and 22C. Another new aspect that will be addressed is the extension of the analytical methods based on the solution of the Faddeev equations in hyperspherical coordinates with the introduction of Bethe-Peierls boundary conditions to explore the three-body continuum, aiming the application in D-dimensional systems with different mass configurations, which simulate ultracold atoms in deformed traps, as well as, in the three-dimensional case to investigate the final state interaction in the fragmentation of exotic nuclei into neutron-neutron-core at low excitation energies. In addition, we arefaced with a challenge that can impact the study of the dynamics of ultracold atoms, which is the transition between discrete scale symmetry regime, dominated by the Efimov effect, to the continuous scale symmetry regime, where the Efimov effect disappears. This occurs when the non-integer dimension is decreased from three to two dimensions, suggesting the possibility of creating ultracold "unatomic" systems, possibly through a large deformation of the magneto-optical trap.