Fixed-Point Few-Body Hamiltonians

• Autor(a) principal: Tomio, Lauro [UNESP]
• Data de Publicação: 2022
• Outros Autores: Frederico, T., Timóteo, V. S., Yamashita, M. T. [UNESP]
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1007/s00601-021-01714-0; http://hdl.handle.net/11449/230037

We revisited how Weinberg’s ideas in Nuclear Physics influenced our own work and lead to a renormalization group invariant framework within the quantum mechanical few-body problem, and we also update the discussion on the relevant scales in the limit of short-range interactions. In this context, it is revised the formulation of the subtracted scattering equations and fixed-point Hamiltonians applied to few-body systems, in which the original interaction contains point-like singularities, such as Dirac-delta and/or its derivatives. The approach is being illustrated by considering two-nucleons described by singular interactions. This revision also includes an extension of the renormalization formalism to three-body systems, which is followed by an updated discussion on the applications to four particles.