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Low-momentum nucleon-nucleon interaction and its application to few-nucleon systems

2004/04/30 by S. Fujii, Shin‐ichiro Fujii, E. Epelbaum +6 · 33 citations
Physics and Astronomy · #Atomic and Molecular Physics #Business #Momentum (technical analysis) #Nuclear physics #Nuclear physics research studies #Nucleon #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #nucl-th

paper · pdf · doi:10.1103/physrevc.70.024003

published in Physical Review C 70(2), 024003-1-024003-8 (American Institute of Physics) · 9 pages, 10 figures, 1 table

arxiv created 2004/05/01 · openalex publication_date 2004/08/26 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Low-momentum nucleon-nucleon interactions are derived within the framework of a unitary-transformation theory, starting with realistic nucleon-nucleon interactions. A cutoff momentum \ensuremathΛ is introduced to specify a border between the low- and high-momentum spaces. By Faddeev-Yakubovsky calculations the low-momentum interactions are investigated with respect to the dependence of ground-state energies of 3H and 4He on the parameter \ensuremathΛ. It is found that we need the momentum cutoff parameter \ensuremathΛ\ensuremath\geqslant5\phantom\rule0.3em0exfm^\ensuremath-1 in order to reproduce satisfactorily the exact values of the binding energies for 3H and 4He. The calculation with \ensuremathΛ=2\phantom\rule0.3em0exfm^\ensuremath-1 recommended by Bogner et al. leads to considerable overbinding at least for few-nucleon systems.

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