Looking for specific wording on peacoat styling.

Hello! I've had a peacoat I thrifted for a while but it has since become too small for me, I'm looking to get a nicer replacement but I'm having a hard time searching for one with the same specific style The 2 areas I really like are the shoulder stitching that is almost like a cowl? And the waist belt I've attached pictures for what it looks like, is peacoat even the right term for this? Especially since it's lighter weight not wool