Problems in the derivations of the renormalization group equation for the low momentum nucleon interactions

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Abstract

We carefully examine one of the derivations of the renormalization group equation (RGE) for the so-called Vlow k potential, given by Bogner et al. [nucl-th/0111042]. The derivation, based on the completeness relation of the model space, must be modified if there are bound states. It is however shown that the RGE is unchanged if the bound state wavefunctions in the reduced theory are required to have the same low-momentum components as those in the original theory. Several aspects of the Vlow k approach are also discussed. harada@phys.kyushu-u.ac.jp.

Original languageEnglish
Pages (from-to)741-749
Number of pages9
JournalProgress of Theoretical Physics
Volume120
Issue number4
DOIs
Publication statusPublished - Oct 1 2008

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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