Fixed-Point Few-Body Hamiltonians in Quantum Mechanics
- URL: http://arxiv.org/abs/2111.05954v1
- Date: Wed, 10 Nov 2021 21:28:44 GMT
- Title: Fixed-Point Few-Body Hamiltonians in Quantum Mechanics
- Authors: Lauro Tomio, Tobias Frederico, Varese S. Tim\'oteo, Marcelo T.
Yamashita
- Abstract summary: We revisit how Weinberg's ideas in Nuclear Physics influenced our own work.
We update the discussion on the relevant scales in the limit of short-range interactions.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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