Stan is right.
In the mass production world, products are sold that are simply defective because of lack of effort on the part of the manufacturer.
Barrel sets that are simply brazed up in a jig are not 'regulated'. 'Regulation' is a process whereby a gun maker adjusts his product to shoot to point of aim with a specific load.
Patterns do not 'converge'. Barrels converge at the muzzle to make the axes of the bores and thus the flight paths of the shot clouds parallel to each other at bore exit.
A shotgun is a second class lever like a wheelbarrow. Forces during barrel travel cause torque. 'Convergence' compensates for the torque and points the gun at the aiming point at bore exit.
Ideal regulation results in patterns that have centers the same distance apart from the muzzle to infinity. That distance apart is the same as the distance between the muzzles, and is so small that it just gets lost in the noise. Observable cross firing at any distance is an error.
A cursory search found this thread:
http://www.doublegunshop.com/forums/ubbthreads.php?ubb=showflat&Number=88393&page=1Pay particular attention to the posts of Jim Legg and 2-Piper.