Speaker
Lauro Tomio
(Federal University of ABC, Sao Paolo)
Description
Renormalized fixed-point Hamiltonians are formulated for systems described by interactions that originally contain point-like singularities (as the Dirac-delta and/or its derivatives). They express the renormalization group invariance of quantum mechanics. The approach has been applied in the study low-energy scattering observables, such as the nucleon-nucleon interaction with one pion exchange potentials, as well as bound-state systems. In case of low-energy bound-state systems, this subtractive procedure was found convenient to introduce the scales in formalisms with zero-range interactions, when renormalizing the theory. Of particular interest in recent years has been the studies of neutron-rich light nuclei, with two-neutron halos and a core, dominated by s-wave short-range two-body interactions. In this case, the observables are expressed by universal scaling laws obtained in the limit of a renormalized zero-range force, expected to be model independent for large halos. The corresponding scaling functions are determined by the neutron-neutron and neutron-core low-energy information, such as scattering lengths and short-range parameters. By using recent experimental data, which constrain the two-neutron separation energy, we study the core momentum distribution for large halo nuclei, like Lithium-11, Carbon-20 and Carbon-22.
Primary author
Lauro Tomio
(Federal University of ABC, Sao Paolo)
Co-author
Prof.
Tobias Frederico
(Instituto Tecnologico de Aeronautica)
