  We investigate the radiative process of the $\Lambda_b\rightarrow \Lambda
\gamma$ in the standard model as well as models with one or two compact
universal extra dimensions. Using the form factors entered to the low energy
matrix elements, calculated via light cone QCD in full theory, we calculate the
total decay width and branching ratio of this decay channel. We compare the
results of the extra dimensional models with those of the standard model on the
considered physical quantities and look for the deviations of the results from
the standard model predictions at different values of the compactification
scale (1/R).
