2000/11/15 by R. Machleidt, H. Müther · 1 citation
Physics and Astronomy · #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #nucl-ex #nucl-th
paper · pdf · doi:10.1103/physrevc.63.034005
published as Phys.Rev. C63 (2001) 034005 · 21 pages including 4 figures, Revtex
arxiv created 2000/11/15 · openalex publication_date 2001/02/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We investigate three models for the charge symmetry breaking (CSB) of the nucleon-nucleon (NN) interaction (based upon \ensuremathρ\ensuremath-\ensuremathω mixing, nucleon mass splitting, and phenomenology) that all reproduce the empirical value for the CSB of the 1S0 scattering length (\ensuremathΔaCSB) accurately. We reveal that these models make very different predictions for CSB in 3PJ waves and examine the impact of this on some observable quantities of A>~3 nuclear systems. It turns out that the 3H\ensuremath-3He binding energy difference is essentially ruled by \ensuremathΔaCSB and not very sensitive to CSB from P waves. However, the Coulomb displacement energies (which are the subject of the Nolen-Schiffer anomaly) receive about 50% of their CSB contribution from NN partial waves beyond 1S0. Consequently, the predictions by the various CSB models differ here substantially (10%--20%). Unfortunately, the evaluation of the leading Coulomb contributions carries a large uncertainty such that no discrimination between the competing CSB models can presently be made. To decide the issue we suggest looking into nuclear few-body reactions that are sensitive to CSB of the nuclear force.