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Renormalization of the one-pion-exchange interaction

T. Frederico·V. S. Timoteo·Lauro Tomio
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Abstract

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 ($μ$), 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 $μ\to\infty$.

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T. Frederico, V. S. Timoteo, Lauro Tomio. 1999-05-11. Renormalization of the one-pion-exchange interaction. https://doi.org/10.1016/s0375-9474(99)00234-1

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