Unless you want to add a bit of de and re construction to this project the barn door type would be the only sliding option i can think of.
Add a door to a room.
A pre hung door is a door that is attached to a frame by the manufacturer saving you the trouble of.
It s not quite wide enough to frame in one side and make a pocket door but i would think if you trimmed the doorway it might work to use two 24 inch french doors.
When you are seeking a quiet study the extra door will allow you to keep the existing door closed and reduce the noise and commotion in the room.
Remove the plaster or drywall to this point and cut a straight line across the studs you want to save.
Nail three pieces of 1 1 boards into the cased opening on the opposite side of the door swing to hide your gaps and keep the door from swinging too far inside the frame.
To preserve the cripple studs calculate where to cut them by adding the jamb height included in the packaging for pre hung doors and the header size calculated below plus inch wiggle room.
The first step is to select the new door you plan.