Implicit vs Explicit renormalization of the NN force

2013/10/31 by E. Ruiz Arriola, Enrique Ruiz Arriola, S. Szpigel +6
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Nuclear Theory (nucl-th) #Quantum Mechanics and Applications #Relativity and Gravitational Theory #nucl-th

paper · pdf · doi:10.48550/arxiv.1310.8526

Talk given at the 22nd European Conference on Few-Body Problems in Physics - EFB22, Krakow, Poland, September 2013

arxiv created 2013/10/31 · openalex publication_date 2013/10/31 · arxiv updated 2013/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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