01 - Heat a large skillet over medium-high heat. Add the ground beef and cook, breaking it up with a spoon, until browned, approximately 5 minutes. Drain any excess fat if necessary.
02 - Add the onion, green bell pepper, and garlic to the skillet. Sauté for 4 to 5 minutes until the vegetables are softened.
03 - Stir in the tomato sauce, tomato paste, ketchup, Worcestershire sauce, brown sugar, mustard, smoked paprika, salt, pepper, and water. Mix well to combine all ingredients.
04 - Reduce the heat to low and simmer uncovered for 10 to 15 minutes, stirring occasionally, until the sauce has thickened and is flavorful. Taste and adjust seasoning if needed.
05 - Heat a separate skillet or griddle over medium heat. Spread butter on the cut sides of the buns and toast them until golden brown.
06 - Spoon the hot sloppy joe mixture generously over the bottom halves of the toasted buns. Top with pickles and cheese if desired. Cover with the top halves and serve immediately.