Low-momentum interaction in few-nucleon systems

2004/05/06 by A. Nogga, Andreas Nogga, Scott K. Bogner +3 · 5 citations
Physics and Astronomy · #Atomic and Molecular Physics #Binding energy #Classical mechanics #Cutoff #Effective field theory #Few-body systems #Momentum (technical analysis) #Nuclear force #Nuclear physics #Nuclear physics research studies #Nucleon #Observable #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Range (aeronautics) #Statistical physics #Theoretical physics #nucl-th

paper · pdf · doi:10.1103/physrevc.70.061002

published as Phys.Rev. C70 (2004) 061002 · 4 pages, 4 figures

arxiv created 2004/05/06 · openalex publication_date 2004/12/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The low-momentum nucleon-nucleon interaction V_low\phantom\rule0.3em0exk is applied to three- and four-nucleon systems. We investigate the ³H, ³He, and ⁴He binding energies for a wide range of the momentum cutoffs. By construction, all low-energy two-body observables are cutoff independent, and therefore, any cutoff dependence is due to missing three-body or higher-body forces. We argue that for reasonable cutoffs V_low\phantom\rule0.3em0exk is similar to high-order interactions derived from chiral effective field theory. This motivates augmenting V_low\phantom\rule0.3em0exk by corresponding three-nucleon forces. The set of low-momentum two- and three-nucleon forces can be used in calculations of nuclear structure and reactions. We find that three-nucleon force contributions are perturbative for small cutoffs.

Citations

• Low-momentum nucleon-nucleon interaction and its application to few-nucleon systems
• Towards a model-independent low momentum nucleon–nucleon interaction
• High-precision, charge-dependent Bonn nucleon-nucleon potential
• Renormalization group approach to neutron matter: quasiparticle interactions, superfluid gaps and the equation of state

Cited by

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• Ab initiocoupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions
• Ab initiono-core Gamow shell model calculations with realistic interactions
• The shell model as a unified view of nuclear structure
• Improved nuclear matter calculations from chiral low-momentum interactions
• Similarity renormalization group for nucleon-nucleon interactions
• Dependence of the BCS 1S0 superfluid pairing gap on nuclear interactions