$\rho$-$\omega$ mixing and spin dependent CSV potential

Abstract

We construct the charge symmetry violating (CSV) nucleon-nucleon potential induced by the ${\rho }^0$-$ø$ mixing due to the neutron-proton mass difference driven by the $NN$ loop. Analytical expression for for the two-body CSV potential is presented containing both the central and non- central $NN$ interaction. We show that the $\rho$$NN$ tensor interaction can significantly enhance the charge symmetry violating $NN$ interaction even if momentum dependent off-shell ${\rho }^0$-$\omega$ mixing amplitude is considered. It is also shown that the inclusion of form factors removes the divergence arising out of the contact interaction. Consequently, we see that the precise size of the computed scattering length difference depends on how the short range aspects of the CSV potential are treated.

Accepted for publication in Phys. Rev. C

References in corpus (8)

• Rho-omega mixing, vector meson dominance and the pion form-factor
• A New Measurement of the 1S0 Neutron-Neutron Scattering Length using the Neutron-Proton Scattering Length as a Standard
• The Momentum Dependence of the $\rho -\omega$ Mixing Amplitude in a Hadronic Model
• Constraints on the momentum dependence of rho-omega mixing
• The Off Shell $\rho$-$\omega$ Mixing in the QCD Sum Rules
• Charge-Symmetry Breaking, Rho-Omega Mixing and the Quark Propagator
• Charge symmetry breaking of the nucleon-nucleon interaction: $\rho$-$\omega$ mixing VERSUS nucleon mass splitting
• Rho-omega mixing in asymmetric nuclear matter via QCD sum rule approach

Cited by in corpus (5)

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• ${\rho }^0-\omega$ mixing in the presence of a weak magnetic field
• Matter induced charge symmetry violating NN potential
• $\pi$-$\eta$ mixing and charge symmetry violating NN potential in matter