  Recent measurements of cosmic gamma ray intensities up to TeV energies have
been used to estimate the spectral shape of the parent cosmic ray particles
present in the interstellar medium. The case is made for the particle spectrum
in the Inner Galaxy being flatter than locally and in the Outer Galaxy. Of
various possible explanations we make the case for the propagation of the
particles being different in the more turbulent interstellar medium of the
Inner Galaxy. The characteristic parameter alpha for the so called anomalous
diffusion is expected to be less in the Inner Galaxy than that locally and the
corresponding power law spectral exponent of the cosmic ray particles gamma
will differ from that locally. Arguments are presented favouring a value of
alpha lower than the local one by about Delta alpha = 0.2, the consequence is
that Delta gamma = 0.1 for the parent particles.
