Fixed-Point Few-Body Hamiltonians

Author(s)

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

Affiliation

^[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

• Document type: Journal article
• Source: FEW-BODY SYSTEMS; v. 63, n. 1 MAR 2022.
• Web of Science Citations: 0

Abstract

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)

• FAPESP's process: 19/10889-1 - Dimensional effects in strongly interacting systems
• Grantee: Varese Salvador Timoteo
• Support Opportunities: Regular Research Grants
• FAPESP's process: 17/05660-0 - Theoretical studies of the structure and reactions of exotic nuclei and many-body systems
• Grantee: Brett Vern Carlson
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 19/00153-8 - Dimensional effects in few-body physics in a many-body environment
• Grantee: Marcelo Takeshi Yamashita
• Support Opportunities: Regular Research Grants