What is the meaning of baba joon in Arabic?

"Baba Joon" is not an Arabic phrase. It is a Persian phrase, and it means "dear father" or "my darling father".

* Baba means "father" in Persian.

* Joon is a term of endearment meaning "soul" or "darling".

So, "Baba Joon" is a very affectionate and loving way to address one's father in Persian.