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Implicit Versus Explicit Renormalization of the NN Force: An S-Wave Toy Model

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Abstract

We use an S-wave toy model for the two-nucleon system to show that the implicit renormalization of a contact theory matches the explicit renormalization through a flow equation which integrates out the high momentum components. By fitting the low-momentum interaction with a new contact theory, we show that the running of the contact strengths in both original and fitted contact theories match over a wide cutoff range.

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Authors and Affiliations

  1. Departamento de Física Atómica, Molecular y Nuclear and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, 18071, Granada, Spain

    E. Ruiz Arriola

  2. Faculdade de Computação e Informática, Universidade Presbiteriana Mackenzie, São Paulo, SP, 01302-907, Brasil

    S. Szpigel

  3. Grupo de Óptica e Modelagem Numérica-GOMNI, Faculdade de Tecnologia-FT, Universidade Estadual de Campinas-UNICAMP, Limeira, SP, 13484-332, Brazil

    V. S. Timóteo

Authors
  1. E. Ruiz Arriola
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  2. S. Szpigel
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  3. V. S. Timóteo
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Correspondence to V. S. Timóteo.

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Arriola, E.R., Szpigel, S. & Timóteo, V.S. Implicit Versus Explicit Renormalization of the NN Force: An S-Wave Toy Model. Few-Body Syst 55, 989–992 (2014). https://doi.org/10.1007/s00601-014-0811-9

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  • DOI: https://doi.org/10.1007/s00601-014-0811-9

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