Why are private fields on an enum type visible to the containing class?

public class Parent {

    public enum ChildType {

        FIRST_CHILD("I am the first."),
        SECOND_CHILD("I am the second.");

        private String myChildStatement;

        ChildType(String myChildStatement) {
            this.myChildStatement = myChildStatement;
        }

        public String getMyChildStatement() {
            return this.myChildStatement;
        }
    }

    public static void main(String[] args) {

        // Why does this work?
        System.out.println(Parent.ChildType.FIRST_CHILD.myChildStatement);
    }
}

Are there any additional rules with regard to access control for Parent subclasses, classes within the same package, etc., in reference to this enum? Where might I find those rules in the spec?