Consideration of Nuclear Forces from the Viewpoint of the Renormalization Group Relation of Nuclear Forces between Phenomenological Approach and Nuclear Effective Field Theory

A relation between nuclear forces derived using a phenomenological approach and nuclear effective field theory (NEFT) is proposed from a renormalization group point of view. A phenomenological nuclear force (Vph) and an NEFT-based NN-potential (VEFT ) are satisfactorily related to each other through the Wilsonian renormalization group (WRG) method. It is clearly shown that use of the simple contact interactions in NEFT is adequate to simulate small scale phenomena, and that an NEFT-based NN-potential (VEFT ) is free from dependence on the model used to describe small scale phenomena. We study the characteristics of VEFT from a WRG point of view, emphasizing points that have not previously been fully recognized. We also use the Vlow k method and a unitary transformation method to relate Vph to VEFT . It is found that they are not appropriate for this purpose.