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Renormalization group analysis of nuclear force

Satoshi X. Nakamura

nucl-tharXiv:nucl-th/0610034

Abstract

We study a relation between nuclear forces based on phenomenological approach (Vph) and nuclear effective field theory (VEFT) from a viewpoint of renormalization group. We find the relation between these two types of nuclear force using Wilsonian renormalization group equation. Considering the fact that VEFT is defined in a certain small model space, we show that a simple contact interaction accurately simulates short-distance physics, and that VEFT is free from dependence on modelling the details of the short-distance physics. Based on our result, we discuss some features of nuclear effective field theory.

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