We develop an analytical theory of reconnection between colliding, twi
sted magnetic flux tubes. Our analysis is restricted to direct collisi
ons between parallel tubes and is based on the collision dynamics work
ed out by Bogdan (1984). We show that there is a range of collision ve
locities for which neutral point reconnection of the Parker-Sweet type
can occur, and a smaller range for which reconnection leads to coales
cence. Mean velocities within the solar convection zone are probably s
ignificantly greater than the upper limit for coalescence. This sugges
ts that the majority of flux tube collisions do not result in merging,
unless the frictional coupling of the tubes to the background flow is
extremely strong.