Two and three nucleons in a trap, and the continuum limit

2011/12/01 by J. Rotureau, Ionel Stetcu, I. Stetcu +2 · 38 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Deuterium #Effective field theory #Isospin #Nuclear physics #Nuclear physics research studies #Nucleon #Particle physics #Physics #Quantum electrodynamics #Quantum mechanics #Scattering #nucl-th

paper · pdf · doi:10.1103/physrevc.85.034003

published in Physical Review C 85(3) (American Institute of Physics) · 19 pages, 15 figures

arxiv created 2011/12/01 · openalex publication_date 2012/03/14 · arxiv updated 2015/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We describe systems of two and three nucleons trapped in a harmonic-oscillator potential with interactions from the pionless effective field theory up to next-to-leading order (NLO). We construct the two-nucleon interaction using two-nucleon scattering information. We calculate the trapped levels in the three-nucleon system with isospin T=1/2 and determine the three-nucleon force needed for stability of the triton. We extract neutron-deuteron phase shifts, and show that the quartet scattering length is in good agreement with experimental data.

Citations

• No-core shell model in an effective-field-theory framework
• Higher partial waves in an effective field theory approach to scattering
• Nucleon-nucleon scattering in a harmonic potential
• Properties of12Cin theAb InitioNuclear Shell Model
• Effective interactions for light nuclei: an effective (field theory) approach
• Improved convergence in the three-nucleon system at very low energies

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