Paulson's Outfit

 and the matching Sheriff's Hat are pieces of clothing are added to Fallout 3 in the Mothership Zeta add-on. They are worn by Paulson.

The outfit provides a damage resistance of 5 as well as bonuses of 1 to Charisma, 10 to Small Guns and 5 to Speech. The hat has a DR of 1 and a bonus of 1 to Perception. Both cannot be repaired except by merchants.

Obtaining
Paulson's Outfit is worn by Paulson throughout Mothership Zeta, so you'll need to do a little backstabbing to get it. You can loot it off his body if he bites the bullet during the quest, or you can reverse-pickpocket it with a better suit of armor or kill him, loot him, and resurrect him using console.

Appearances
and his Sheriff's Hat appear in the Mothership Zeta add-on for Fallout 3.

Bugs
Whenever Paulson's Outfit is equipped, when you un-holster any weapon, including your fists, in first person view, the Lone Wanderer's arms will disappear with only the right hand and the left hand plus the pipboy visible. The reason for this may be that Bethesda had assumed players would only use the outfit while using the Paulson's .44 Magnum.

If Paulson dies at any point during the add-on and you loot his body, it is possible that when you loot all of his items he sometimes is still wearing his unique outfit and sheriff's hat and still has his revolver equipped. This does not affect the game at all apart from the fact that he is still wearing his clothes but you looted him.

If you drop Paulson's Sheriff Hat it will appear as a regular Sheriff Hat as seen on Lucas Simms. (Confirmed on xbox 360)