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Implicit Versus Explicit Renormalization of the NN Force: An S-Wave Toy Model |
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| Authors: | E. Ruiz Arriola S. Szpigel V. S. Timóteo |
| Affiliation: | 1. Departamento de Física Atómica, Molecular y Nuclear and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, 18071, Granada, Spain 2. Faculdade de Computa??o e Informática, Universidade Presbiteriana Mackenzie, S?o Paulo, SP, 01302-907, Brasil 3. Grupo de óptica e Modelagem Numérica-GOMNI, Faculdade de Tecnologia-FT, Universidade Estadual de Campinas-UNICAMP, Limeira, SP, 13484-332, Brazil |
| 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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