Antiproton Limits on Decaying Gravitino Dark Matter
  We derive 95% CL lower limits on the lifetime of decaying dark matter in the
channels $Z\nu$, $W\ell$ and $h\nu$ using measurements of the cosmic-ray
antiproton flux by the PAMELA experiment. Performing a scan over the allowed
range of cosmic-ray propagation parameters we find lifetime limits in the range
of $8 \times 10^{28}$s to $5 \times 10^{25}$s for dark matter masses from
roughly 100 GeV to 10 TeV. We apply these limits to the well-motivated case of
gravitino dark matter in scenarios with bilinear violation of R-parity and find
a similar range of lifetime limits for the same range of gravitino masses.
Converting the lifetime limits to constraints on the size of the R-parity
violating coupling we find upper limits in the range of $10^{-8}$ to $8 \times
10^{-13}$.
