$ρ$-$ω$ mixing and spin dependent CSV potential

Details $ρ$-$ω$ mixing and spin dependent CSV potential $ρ$-$ω$ mixing and spin dependent CSV potential

2008-05-20

arxiv.org/abs/0805.3046v3

Phys.Rev.C78:045207,2008

Physics

Nuclear Physics

Nuclear Theory

Accepted for publication in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.78.045207

We construct the charge symmetry violating (CSV) nucleon-nucleon potential induced by the $\rho^0$-$\o$ 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.

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