We investigate the rare decay Lambda(b) --> Lambda gamma which receive
s both short and long distance contributions. We estimate the long dis
tance contributions and find them very small. The form factors are obt
ained from Lambda(c) --> Lambda l<(nu)over bar>(l) using heavy quark s
ymmetry and a pole model. The short distance piece opens a window to n
ew physics and we discuss the sensitivity of Lambda(b) --> Lambda gamm
a to such effects.