  Motivated by the observation of the decay B to K* gamma by the CLEO
collaboration, we have systematically analyzed the weak radiative decay
Lambda_b to Lambda gamma, evaluating the confined effects of quarks in the
covariant oscillator quark model. This decay process receives both short
distance (electromagnetic penguins at the one loop level) the long distance
contributions in the quark level. The long distance contributions are analyzed
using the vector meson dominance (VMD) method. The estimated branching ratio is
found to be 0.23 times 10^-5.
