On the convergence of multi-channel effective interactions

Abstract

A detailed analysis of 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 channel we introduce a simple model in order 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.

7 pages, 6 figures, REVTeX 4, discussion streamlined; accepted version for publication in Phys. Rev. C

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• Comparative study of hyperon-nucleon interactions of quark model and chiral effective field theory by low-momentum equivalent interactions and $G$ matrices
• Hyperon-nucleon single-particle potentials with low-momentum interactions