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Renormalization of equations governing nucleon dynamics and nonlocality in time of the NN interaction

Renat Kh. Gainutdinov·Aigul A. Mutygullina
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Abstract

We discuss the problem of renormalization of dynamical equations which arises in an effective field theory description of nuclear forces. By using a toy model of the separable NN potential leading to logarithmic singularities in the Born series, we show that renormalization gives rise to nucleon dynamics which is governed by a generalized dynamical equation with a nonlocal-in-time interaction operator. We show that this dynamical equation can open new possibilities for applying the EFT approach to the description of low-energy nucleon dynamics.

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Renat Kh. Gainutdinov, Aigul A. Mutygullina. 2001-08-28. Renormalization of equations governing nucleon dynamics and nonlocality in time of the NN interaction. https://arxiv.org/abs/nucl-th/0108063

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