Implications of anomalous isospin violation for the low energy nucleon-nucleon interaction

Paul George Langacker, D. A. Sparrow

Research output: Contribution to journalArticle

39 Scopus citations

Abstract

Quark mass differences are used to derive an anomalous (i.e., due to the strong interactions) isospin violating potential. The potential includes the effects of pseudoscalar (π-η-η′) and vector meson (ρ-ω) mixing. The finite ρ width is included. Low energy nn, pp, and np phase shift differences are calculated in terms of the fundamental coupling constants. Despite considerable uncertainty in the coupling constants, it is possible to understand the very small nn and pp scattering length differences. Furthermore, it appears that effects in the l>0 partial waves at finite energies are large enough to be observable in the next few years. Estimates of effects in bound nuclei are presented. These include calculations of the contributions to mirror nuclei binding energy differences and to isospin mixing for a few characteristic cases. In most of those cases the anomalous isospin breaking contributions are of roughly the same size as observed discrepancies. However, inclusion of short range correlations substantially reduces the calculated effects in these cases. NUCLEAR REACTIONS pp, pn, and nn elastic scattering, E=0-350 MeV, calculated phase shift differences due to anomalous isospin breaking. Effects in finite nuclei estimated.

Original languageEnglish (US)
Pages (from-to)1194-1214
Number of pages21
JournalPhysical Review C
Volume25
Issue number3
DOIs
StatePublished - Jan 1 1982

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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