Fixed-Point Few-Body Hamiltonians

Autor(es)

Tomio, Lauro ^[1] ; Frederico, T. ^[2] ; Timoteo, V. S. ^[3] ; Yamashita, M. T. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Paulista, Inst Fis Teor, BR-01405900 Sao Paulo, SP - Brazil

^[2] Inst Tecnol Aeronaut, DCTA, BR-12228900 Sao Jose Dos Campos, SP - Brazil

^[3] Univ Estadual Campinas, UNICAMP, GOMNI FT, Grp Opt & Modelagem Numer, Fac Tecnol, BR-13484332 Limeira, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: FEW-BODY SYSTEMS; v. 63, n. 1 MAR 2022.
• Citações Web of Science: 0

Resumo

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. (AU)

• Processo FAPESP: 19/10889-1 - Efeitos dimensionais em sistemas fortemente interagentes
• Beneficiário: Varese Salvador Timoteo
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 17/05660-0 - Estudos teóricos da estrutura e reações de núcleos exóticos e sistemas de muitos corpos
• Beneficiário: Brett Vern Carlson
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 19/00153-8 - Efeitos dimensionais na física de poucos corpos em um ambiente de muito corpos
• Beneficiário: Marcelo Takeshi Yamashita
• Modalidade de apoio: Auxílio à Pesquisa - Regular