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Singlet NN Regularization using a Boundary Condition for OPE and TPE potentials

M. Pavon Valderrama, E. Ruiz Arriola

nucl-tharXiv:nucl-th/0410020

Abstract

Boundary conditions provide a simple and physically compelling Wilsonian renormalization method in coordinate space in the framework of effective field theory as applied to nucleon-nucleon interaction in the non perturbative regime, enabling to remove unphysical regularization cut-offs while keeping physical low energy threshold parameters such as the scattering length and effective range invariant. We illustrate how the method successfully works in the 1S0 channel for the One Pion Exchange (OPE) and Two Pion Exchange (TPE) potentials

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