Renormalization of the 1S0 One-Pion-Exchange NN Interaction in Presence of Derivative Contact Interactions

Details Renormalization of the 1S0 One-Pion-Exchange NN Interaction in Presence of Derivative Contact Interactions Renormalization of the 1S0 One-Pion-Exchange NN Interaction in Presence of Derivative Contact Interactions

2003-01-27

arxiv.org/abs/nucl-th/0301080v2

Phys.Lett. B568 (2003) 109-117

Physics

Nuclear Physics

Nuclear Theory

7 pages, revtex4, Phys. Lett. B in print

Scientific paper

10.1016/j.physletb.2003.05.009

We use standard distorted wave theory techniques and dimensional regularization to find out solutions of the nucleon-nucleon Lippman--Schwinger equation with a kernel determined by the Weinberg's next-to-leading potential, which consists of one--pion exchange and additional contact terms with derivatives. Though for simplicity, we restrict the discussion to the $^1S_0$ channel and to contact terms containing up to two derivatives, the generalization to higher waves and/or number of derivatives is straightforward. The undetermined low energy constants emerging out of the renormalization procedure are fitted to data.

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