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On the convergence of multi-channel effective interactions

M. Wagner·B. -J. Schaefer·J. Wambach·T. T. S. Kuo·G. E. Brown
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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.

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M. Wagner, B. -J. Schaefer, J. Wambach, T. T. S. Kuo, G. E. Brown. 2006-10-31. On the convergence of multi-channel effective interactions. https://doi.org/10.1103/physrevc.74.054003

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