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Convergence of multi-channel effective interactions

2006/08/31 by Mathias Wagner, M. Wagner, Brennan Schaefer +5
Mathematics · Physics and Astronomy · #Algorithm #Applied mathematics #Channel (broadcasting) #Computer science #Convergence (economics) #Cutoff #Generalization #High-Energy Particle Collisions Research #Mathematical analysis #Mathematical optimization #Mathematics #Momentum (technical analysis) #Nuclear physics research studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Simple (philosophy) #Statistical physics #Telecommunications #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.1103/physrevc.74.054003

published as Phys.Rev.C74:054003,2006 · 7 pages, 6 figures, REVTeX 4, discussion streamlined; accepted version for publication in Phys. Rev. C

arxiv created 2006/10/31 · openalex publication_date 2006/11/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A detailed analysis of the convergence properties of the Andreozzi-Lee-Suzuki iteration method, which is used for the calculation of low-momentum effective potentials Vlowk, is presented. After summarizing different modifications of the iteration method for one-flavor channels we introduce a simple model to study the generalization of the iteration method to multi-flavor channels. The failure of a straightforward generalization is discussed. The introduction of a channel-dependent cutoff cures the conceptual and technical problems. This novel method has already been applied successfully for realistic hyperon-nucleon interactions.

Citations