Renormalization of the one-pion-exchange interaction

Details Renormalization of the one-pion-exchange interaction Renormalization of the one-pion-exchange interaction

1999-02-22

arxiv.org/abs/nucl-th/9902052v2

Nucl.Phys. A653 (1999) 209-221

Physics

Nuclear Physics

Nuclear Theory

16 pages, 4 eps figures, to appear in Nuclear Physics A

Scientific paper

10.1016/S0375-9474(99)00234-1

A renormalization scheme for the nucleon-nucleon (NN) interaction based on a subtracted T-matrix equation is proposed and applied to the one-pion-exchange potential supplemented by contact interactions. The singlet and triplet scattering lengths are given to fix the renormalized strengths of the contact interactions. With only one scaling parameter ($\mu$), the results show an overall very good agreement with neutron-proton data, particularly for the observables related to the triplet channel. The agreement is qualitative in the $^1S_0$ channel. Between the low-energy NN observables we have examined, the mixing parameter of the $^3S_1-^3D_1$ states is the most sensible to the scale. The scheme is renormalization group invariant for $\mu\to\infty$.

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