You need to have a very close look at Section 57 of the Firearms Act and at the definition of Firearm.
Spartan Law sums this nicely and I quote
What is a ‘Firearm’?
Possession of a firearm is defined in
section 57 (1) of The Firearms Act 1968 as ‘a lethal barrelled weapon of any description from which any shot, bullet or another missile can be discharged. It includes any prohibited weapon, any component part of such a weapon and any accessory to such weapon designed or adapted to diminish the noise or flash caused by firing the weapon.
Possession of a Firearm
It is an offence under section 1 of the Firearms Act 1968 to possess a firearm, certain air weapons and certain ammunition without a certificate. It is an absolute offence and this means that the prosecution only has to show that the defendant knew he has something in his possession. It is irrelevant what he knew or thought it was.
So as OP states he wants to acquire another barrel for a Firearm. Whilst it might be powered by air, it is not legally an “airweapon”. An “airweapon” is defined as having a muzzle energy of less than 12 ft / lbs.
Another barrel is a component part of a rifle and is thus treated effectively as another firearm.
The only way that the OP can change the barrel length without a variation is take the Firearm to an RFD and the RFD swaps over the barrels, and he surrenders the original barrel. Exact same procedure as having any firearm rebarreled in the same calibre.