What do you need to know.
Depth – typically .008 on dia for our sizes such as 30 cal = .308 groove to groove ..303 =.311 groove to groove. .303 land to land. .270/277 etc.If you look up SAAMI they will give you all the tolerances etc
Typical steel in US nomenclature is 4130. There will be a UK equivalent. Its not a “special” gun steel. (there isn’t such a thing really) Its just a medium carbon, workhardening engineering steel like many others.
Twist rate depends on velocity and projectile length. The longer the proj (length to diameter ratio) the greater the twist rate. The higher the MV the lower the twist rate, so you need to get this right. It varies considerably, so you would need to look at something in your class. Long arms with an MV of about 2500-300fps are about 1:9 – 1:10 twist rate.
How to make – well you can hammer forge onto an externally rifled mandrel with a rotary hammer if you are a professional, or for a one off you’d be best off making a broach of the right size with offset cutters, and a guided tail of the right twist. Or you can single point cut and index. The cutter is on the end of a rod, and the rod is externally” “rifled” and passes through a stationary “nut”. Whip it up and down the barrel.
If you want to make an accelerating twist, then you have to cut the rifling with a cutter moving down an externally rifled guide connected to a cam, and at a point part way down the bore the cam comes in and turns the guide, accelerating the twist towards the muzzle. ADEN guns had that.
In principle its not that difficult. The barrel doesn’t even have to be terribly straight. You don’t want it lumpy along the bore, but a (little) bit of a banana doesn’t matter, so long at it remains consistent (tank barrels warp by whole inches along their length due to differential heating in a breeze). For the initial drilling op you want a deep worm gun drill, which are easily bought on special order – I have several, not for guns I might add, but for drilling various deep straight holes in milling machine quills etc.The automotive industry uses them a lot for doing oil holes etc.They are in the catalogues of people like Dormer – specialist, hardly rare, but not the easiest of things to use.
In this country at least, if it were recognisably a pistol, and rifled, you might have a difficulty with the legalities. And proof? However, thats an area I am simply not competent to comment on and you would need to ask an expert. (never tried, got no interest)
A word of warning, or a suggestion. If you are going to make one of these things and actually fire it using a nitro propellant, be aware that loading a pressure vessel up to 19tons/sq inch near ones face is a potentially hazardous activity. Worth making sure you have the maffs right before proceeding? (Especially with things like locking lugs on which the integrity of the whole affair depends)