U.S. officials hope to know soon whether Saddam Hussein is dead or alive.

A U.S. Central Command spokesman said Tuesday that "it will take some time" to determine whether the Iraqi dictator was killed on Monday when a U.S. Air Force jet dropped four huge bombs on a building where he was believed to be meeting with other regime leaders.

U.S. officials told Fox News there's a chance they could know as soon as Tuesday whether Saddam is dead. They said some "early indications are positive, but they are very preliminary. But we have reason to be optimistic."

We'll get the latest on the coalition's progress from our FOX News correspondents in the field and a battlefield assessment from FNC military analysts retired U.S. Marine Corps. Col. Bill Cowan and retired U.S. Army Col. Joe Repya.

President Bush met with British Prime Minister Tony Blair to discuss rebuilding Iraq and reviving peace efforts in war-torn Northern Ireland and the Middle East. How successful was the meeting? We'll get a read from Winston S. Churchill, former British parliamentarian and grandson of the former British prime minister.

How will a post-Saddam Iraq impact the U.S. economy? Former Speaker of the House Newt Gingrich, FNC contributor, weighs in.

A new message, purportedly from Usama bin Laden, surfaces -- reminding the world that he is still at large. Will the war with Iraq create even more volunteers for his terror network? We'll ask Daniel Pipes, director of the Middle East Forum and author of Militant Islam Reaches America.

Plus, we'll take the market's temperature with Michelle Girard, bond market strategist at Prudential Financial, and Gary Kaltbaum, president of Kaltbaum and Associates.

And, will a State Department-funded Arab magazine help improve the United States' image in the Middle East, or is it a waste of time? We'll ask the editor that will head up this operation, Richard Creighton, and Osama Siblani, editor of Arab-American News in Detroit.

We'll have those stories and more on today's edition of Your World with Cavuto.

About Your World...

More than just facts and figures, Your World with Neil Cavuto gets to the heart of the matter with reports from FOX News correspondent Molly de Ramel and in-depth analysis from our FOX Business News All-Stars:

Terry Keenan, host of Cashin' In
Brenda Buttner, host of Bulls & Bears
David Asman, host of Forbes on Fox