What's the origin of the Catholic object that is a staff with a crucifix on top? Like I asked in the title, what's the name and origin of a staff with a crucifix on top? Like the one depicted in the picture.
That, in fact is the Papal Cross or Ferula.

It has been used since Pope Paul VI, designed by the Italian artist Lello Scorzelli. It is used in the same manner as a crozier. However, the cross bar is bent much like the paterissa.