Nucleon EDM and rare decays of eta mesons

Details Nucleon EDM and rare decays of eta mesons Nucleon EDM and rare decays of eta mesons

2008-03-19

arxiv.org/abs/0803.2906v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, revtex4

Scientific paper

I consider rare CP-violating decay modes $\eta(\eta')\to\pi\pi$ and note that an interaction that leads to such decays would necessarily induce a nucleon electric dipole moment (EDM). The experimental limits for the corresponding branching ratios are quite soft. I relate these decay branching ratios to the value of the induced nucleon EDM and translate the experimental limits on the neutron EDM into much more stringent constraints on these decay rates: $\frac{\Gamma_{\eta\to\pi\pi}}{\Gamma_\eta}\lesssim3.5\times10^{-14}$ and $\frac{\Gamma_{\eta'\to\pi\pi}}{\Gamma_\eta'}\lesssim1.8\times10^{-17}$.

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