TY - JOUR

T1 - Implications of anomalous isospin violation for the low energy nucleon-nucleon interaction

AU - Langacker, Paul George

AU - Sparrow, D. A.

PY - 1982/1/1

Y1 - 1982/1/1

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevC.25.1194

DO - 10.1103/PhysRevC.25.1194

M3 - Article

AN - SCOPUS:0039324936

VL - 25

SP - 1194

EP - 1214

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 3

ER -