Formulas do exist for approximating the minimum advisable air gap depending upon the motor's physical size and number of poles. Thes values aren't based on precise theory but reflect actual design and mfg experiance. Most motors use somewhat larger gaps for mechanical reasons and tolerance. Here's one commonly used formula:
GAP, inch= 0.005+ 0.0003 D+ 0.001 L+ 0.003 V
In which D is the stator bore diameter in inches, V is the rotor peripheral speed in thousands of feet per minute, and L is the core stack length inches. For example, assume an 1800 rpm motor with a 10 inch bore and 8 inch stack length. The minimum gap equals 0.005+0.003+0.008+0.014, or 0.03 inch on a side.
2-pole motors are very sensitive and require precision repair practices when recondition is being performed for smooth operation. Having high 2x could be several problems which most you have ruled out. Troubleshooting these bad boys, what I would try now if possible, uncouple the motor from the pump and perform vibration analysis. If this is not possible due to the motor and pump are one unit? Have your data collector on the motor and turn off the power to the motor. If vibration stops instantly when power is off, we know we have an electrical problem. If vibration comes down gradually with rpm slow down, we know we have a mechancal problem. Most common would be a bearing housing worn our of tolerance, which could cause air gap problems, alignment problems, premature bearing failure etc.. Or it could be a worn casing ring, worn bearing housing on the pump side sending resonance down to the motor. Where you are seeing multiple applications that resemble each other, I think this is an internal mechanical problem with these motor pump combos and will probably find this vibration to come down with the motor and pump when the power is shut off.
Don't quote me on this, I am not an Engineer, just a motorhead.
Kind Regards,