OKLAHOMA CITY — Mayor Bloomberg and other potential independent presidential candidates are joining prominent Republican and Democratic centrists at a meeting that will consider the merits of a third-party bid for the White House.

The January 7 event was organized by two former Democratic senators, David Boren and Sam Nunn, and about a dozen prominent figures are expected to participate, including Mr. Bloomberg, a former Republican senator, John Danforth of Missouri, and Senator Hagel, Republican of Nebraska, each of whom has been mentioned as a possible independent candidate.

Mr. Boren said the meeting will serve as a form of “shock therapy” to the major-party candidates to stop bickering and provide Americans with a blueprint for bipartisanship in Washington. The event will be at the Norman campus of the University of Oklahoma, where he is president.

“We used to work together across party lines, and we used to cooperate with each other,” Mr. Boren said of his relationships with current and former senators who plan to attend. “It is a message to the two parties: Please rise to the occasion. If you don’t, there is always a possibility out there of an independent.”

The meeting comes one day before the New Hampshire primary.

“We need statesmanship, not politics,” Mr. Boren said. “The meeting in itself implies there could be other possibilities” than a two-party contest.

Plans for the meeting were first reported by The Washington Post.

A December 18 letter from Messrs. Boren and Nunn to participants asserts that the political system is “at the least, badly bent, and many are concluding that it is broken at a time where America must lead boldly at home and abroad. Partisan polarization is preventing us from uniting to meet the challenges that we must face if we are to prevent further erosion of America’s power of leadership and example.”

“As the letter says, we’ve literally become a house divided,” Mr. Boren said. “We really need a government of national unity.”

Mr. Bloomberg, once a Democrat, then a Republican, and now an independent, has denied any interest in running for the presidency even while keeping speculation alive that he might.

Like the meeting’s organizers, the mayor has criticized the tone of the campaign as one of overbearing partisanship. He said last month the country “needs somebody that says, ‘I’m going to get the best from both parties.'”

Mr. Boren said some of the presidential candidates want to embrace a bipartisan platform but fear being attacked politically if they do so.

“Many of the major issues are just not being addressed,” he said.