There is no Arab name they can call themselves because no such Arab nation ever existed. There has never been an Arab state with its capital in Jersualem. There is no difference in culture, religion, language or ethnicity between a "Palestinian" and a Jordanian. The only difference is to whom they swear allegance. Interesting point. I've heard that before but not about them being Jordanian.
The Palestinians like to say that they are the original inhabitents which would make them the people that God told his people to kill every last one including their farm animals and tear down every stone. That land is Isreal ; before that is was somebodies that God wanted dead.
I should have said that God ordered their deaths at the hands of the Isrealis. What he 'wanted' I don't know but he must have known something that the Isrealis didn't. Maybe that's coming about now.