The most accurate gun I have ever owned got a barrel polish by the guy who helped me aquire the gun. It was a .22 and capable of groups like this one:

He had a guide to polishing barrels as well, although it's in Swedish. But I ran it through Google translate and here it is, let me know if the translator messed something up:
- Clean the barrel as you normally do.
- Take a VFG felt plug (http://skytteservicealmhult.se/visa_produkt.asp?t=VFG+Filtrenare&id=491&lang=sv) and lubricate sparingly surface with VFG paste (http://skytteservicealmhult.se/visa_produkt.asp?t=VFG+Pasta&id=540&lang=sv). Thrifty is the word here, the surface should only be evenly blue so no bearing on the plug.
- For air rifle I use PatchWorm as I pull up / back through the barrel of 5-6 times. No matter how clean you think the barrel is after your newly made cleansing becomes substantially plug dirty.
- Switch to a clean blanket stopper and pull through the barrel again like that 5-6 times (front / tillbax). This is when you polish, the first step was to obtain a uniform layer VFG polishing paste in the race on its entire length.
- Change to either a well oiled patch or a felt plug and pull through the barrel. Replace with a new oiled patch / plug and repeat a few times. The oil will dissolve the paste and remove the remains from the barrel.
- Change to a clean, dry PATCH and pull through the barrel. Repeat until patches come out reasonably clean.
- Now, repeat the whole procedure with JB Bore Paste (http://skytteservicealmhult.se/visa_produkt.asp?t=JB+Pasta&id=222&lang=sv), which in turn gives a mirror finish.
Once you've done it all over again, you take dry patch or blankets and pulls (change to a clean patch after each move, or the saving can contact patch)
until the notes (or blankets) comes out white and clean.
If you are not going to use this gun in the near future a layer of lead is a good protection against rust, it is bare steel in the barrel now after all.

He had a guide to polishing barrels as well, although it's in Swedish. But I ran it through Google translate and here it is, let me know if the translator messed something up:
- Clean the barrel as you normally do.
- Take a VFG felt plug (http://skytteservicealmhult.se/visa_produkt.asp?t=VFG+Filtrenare&id=491&lang=sv) and lubricate sparingly surface with VFG paste (http://skytteservicealmhult.se/visa_produkt.asp?t=VFG+Pasta&id=540&lang=sv). Thrifty is the word here, the surface should only be evenly blue so no bearing on the plug.
- For air rifle I use PatchWorm as I pull up / back through the barrel of 5-6 times. No matter how clean you think the barrel is after your newly made cleansing becomes substantially plug dirty.
- Switch to a clean blanket stopper and pull through the barrel again like that 5-6 times (front / tillbax). This is when you polish, the first step was to obtain a uniform layer VFG polishing paste in the race on its entire length.
- Change to either a well oiled patch or a felt plug and pull through the barrel. Replace with a new oiled patch / plug and repeat a few times. The oil will dissolve the paste and remove the remains from the barrel.
- Change to a clean, dry PATCH and pull through the barrel. Repeat until patches come out reasonably clean.
- Now, repeat the whole procedure with JB Bore Paste (http://skytteservicealmhult.se/visa_produkt.asp?t=JB+Pasta&id=222&lang=sv), which in turn gives a mirror finish.
Once you've done it all over again, you take dry patch or blankets and pulls (change to a clean patch after each move, or the saving can contact patch)
until the notes (or blankets) comes out white and clean.
If you are not going to use this gun in the near future a layer of lead is a good protection against rust, it is bare steel in the barrel now after all.