The recent discovery of diffuse , VHE \gamma radiation from the Galactic center ridge by the H.E.S.S .
telescope allow for the first time the direct determination of parameters of galactic cosmic ray propagation models .
In this paper we show that the diffuse \gamma -radiation near the Galactic center may be explained by the interaction of VHE cosmic ray ( CR ) protons with the interstellar gas located in several giant molecular clouds leading to a measurement of the cosmic ray diffusion coefficient for the galactic center region of \kappa = 1.3 kpc ^ { 2 } Myr ^ { -1 } for a mean proton energy of \sim 3 TeV , if we assume that the CR protons originated from a supernova event ( Sgr A East ) , which took off about 10 kyr ago .
This value of \kappa is \sim 5 to 10 times smaller than the locally measured value .