Add split peas, ham, onion, carrots, celery, garlic, herbs, salt, and pepper to the slow cooker.
Pour in the broth and give everything a gentle stir.
Cover and cook on low for 8 hours or high for 4 hours.
Remove ham hock or ham bone, shred meat, and return it to the soup.
Stir well until the soup reaches a thick, creamy consistency.
Taste and adjust seasonings before serving.