Café com Física

Scaling invariance breaking in Four-boson systems and beyond

by Prof. Tobias Frederico (ITA - Instituto Tecnológico de Aeronáutica, Brasil)

Portugal
Sala de Conferências (Departamento de Física)

Sala de Conferências

Departamento de Física

Universidade de Coimbra
Description



We show that the homogeneous Faddeev-Yakubovski equations for the bound state of four identical bosons, in the unitary limit and attractive zero-range interaction present scale invariance in the ultraviolet (UV) region, which is broken. By resorting to an approximate form of the integral equations in the UV limit, we demonstrate that a pair of log-periodic solutions, with a cycle distinct from the three-boson one, exists and a four-body scale is required to define the phase between them. The breaking of the scale invariance is also found in the context of relativistic bound states described as the solution of the Bethe-Salpeter equation in ladder approximation, which will be also briefly discussed.

Organised by

Filipe Veloso e Pedro Costa