Gov. Charlie Crist of Florida, Gov. Bobby Jindal of Louisiana and Mitt Romney, the former governor of Massachusetts and a one-time rival for the Republican nomination, have all accepted invitations to visit with Mr. McCain at his ranch in Sedona, these Republicans said.

After a week of campaigning, Mr. McCain is heading home on Friday for three days without a public schedule. His campaign described this as a social weekend that would include a number of couples, and — as has been its policy it declined to discuss any aspect of the vice presidential search.

“We don’t talk about the V.P. selection process,” said Steve Schmidt a senior adviser.

In addition to Mr. Crist, Mr. Jindal and Mr. Romney, Mr. McCain’s guest list includes some of top his political counselors, among them Charlie Black, a senior strategist, and Senator Lindsay Graham of South Carolina, his frequent traveling companion and probably his closest colleague in the Senate.

If the gathering does not involve actual interviews, as some of Mr. McCain’s associates said Wednesday, it will provide Mr. McCain with a chance to know some potential running mates in a social context. Mr. McCain is known as a social and gregarious candidate and senator, and his associates said personal chemistry would be a key consideration in his choice.

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