Hanna: Arafat to outlaw PFLP?

(CNN) -- The Palestinian Authority is considering the possibility of outlawing the Popular Front for the Liberation of Palestine, which has claimed responsibility for Wednesday's assassination of right-wing tourism minister Rechavam Zeevi.

CNN's Mike Hanna, in Jerusalem, spoke with CNN anchor Aaron Brown on the issue.

HANNA: There's still no complete clarity as to exactly what the Palestinian Authority is doing. Sources within the Palestinian Authority say that they are investigating the possibility of declaring groups like the Popular Front for the Liberation of Palestine, which claimed responsibility for the assassination of the Israeli Cabinet minister yesterday, outlawed.

The Palestinian Authority says it is arresting those who continue to contravene the cease-fire that it says it remains committed to. But within the last hour, another incident that has created major problems for attempts to get a cease-fire: Three Palestinian militants have been killed in an explosion in the West Bank city of Bethlehem. They were traveling in a car. Palestinian security sources say all three were members of the military wing of Yasser Arafat's Fatah movement. Among them was a man who Israel said was wanted for the murder of a Jewish settler last month.

The Palestinian Authority has described this as an Israeli assassination, as an act of state terror. However, the Israeli defense force has declined to comment on what caused the death of the three militants.

BROWN: I just want to clarify something, because what we have been running on the crawl on the screen -- I think, if I read it correctly -- is that the Palestinian Authority had outlawed this group claiming responsibility, the Popular Front. That is not your understanding, is that correct?

HANNA: There's no confirmation that the PFLP has, as a group, been outlawed at this stage. What we are told by Palestinian sources is that an investigation is under way, a process is under way to possibly cast outside the law -- to outlaw the armed wing of that particular group, and also any group or individuals who contravene a cease-fire.

So the movement as a whole may not be outlawed. We have no confirmation that that is, indeed, the case.

BROWN: And Mike, even if that were to happen -- even if the Palestinian Authority were to outlaw the military wing or the entire organization -- would that likely satisfy the Israeli demand in the aftermath of the assassination of the tourism minister?

HANNA: The Israelis have demanded more than action being taken against the PFLP. It has also demanded that those responsible for the killing be handed over to the Israeli authorities.

Now, the Palestinians have never done this. They are unlikely to do it. And, in fact, today they have been absolutely adamant that they will not, under any circumstances, hand over people they capture to the Israelis.

The question of taking action, of arrests, may go some way to satisfying Israeli demands, but the Israeli demand is for those guilty to be handed over to them. That is not going to be satisfied, at least according to the Palestinian Authority.