6533b7d9fe1ef96bd126ce76

RESEARCH PRODUCT

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

Juan Luis Nieves

subject

PhysicsNuclear and High Energy PhysicsNuclear TheoryGeneralizationPartial wave analysisFísicaFOS: Physical sciencesRenormalizationNuclear Theory (nucl-th)Dimensional regularizationHigh Energy Physics - PhenomenologyLow energyPionHigh Energy Physics - Phenomenology (hep-ph)Derivative (finance)Quantum electrodynamicsNuclear theoryMathematical physics

description

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.

10.1016/j.physletb.2003.05.009http://arxiv.org/abs/nucl-th/0301080