High-precision, charge-dependent Bonn nucleon-nucleon potential

2000/06/09 by R. Machleidt · 81 citations
Physics and Astronomy · #Amplitude #Atomic and Molecular Physics #Charge (physics) #Covariant transformation #Mathematical physics #Neutron #Nuclear physics #Nuclear physics research studies #Nucleon #Particle physics #Physics #Proton #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #hep-ph #nucl-ex #nucl-th

paper · pdf · doi:10.1103/physrevc.63.024001

published as Phys.Rev. C63 (2001) 024001 · 69 pages (RevTex) including 20 tables and 9 figures (ps files)

arxiv created 2000/06/09 · openalex publication_date 2001/01/11 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present a charge-dependent one-boson-exchange nucleon-nucleon (NN) potential that fits the world proton-proton data below 350 MeV available in the year 2000 with a \ensuremathχ² per datum of 1.01 for 2932 data and the corresponding neutron-proton data with \ensuremathχ²/datum =1.02 for 3058 data. This reproduction of the NN data is more accurate than by any phase-shift analysis and any other NN potential. This is achieved by the introduction of two effective \ensuremathσ mesons the parameters of which are partial-wave dependent. The charge dependence of the present potential (which we call ``CD-Bonn'') is based upon the predictions by the Bonn full model for charge symmetry and charge-independence breaking in all partial waves with J<~4. The potential is represented in terms of the covariant Feynman amplitudes for one-boson exchange which are nonlocal. Therefore, the off-shell behavior of the CD-Bonn potential differs in a characteristic way from commonly used local potentials and leads to larger binding energies in nuclear few- and many-body systems, where underbinding is a persistent problem.

Citations

• The Low-Energy Neutron-Proton Scattering Parameters and the Deuteron
• Constraints on the momentum dependence of rho-omega mixing
• Extraction of the πNNcoupling constant fromNNscattering data
• Isospin symmetry breaking nucleon-nucleon potentials and nuclear structure
• Charge dependence of the nucleon-nucleon interaction
• A Relativistic Equation for Bound-State Problems
• Momentum dependence of the ρ-ω mixing amplitude in a hadronic model
• Review of Particle Physics

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