THE BURNED OVER DISTRICT

So one of the questions on the Republican side is who the most likely candidate for president will pick as his Vice President. The other question is will whoever he might pick actually agree to run with him.

It’s a time-honored tradition for politicians to deny any interest in the vice presidency. But this year, with the possibility of Donald J. Trump as the Republican nominee, they really mean it.

“Never,” said Chris Schrimpf, a spokesman for Gov. John Kasich of Ohio, who is still running against Mr. Trump. “No chance.”

“Hahahahahahahahaha,” wrote Sally Bradshaw, a senior adviser to Jeb Bush, when asked if he would consider it.

“Scott Walker has a visceral negative reaction to Trump’s character,” said Ed Goeas, a longtime adviser to the Wisconsin governor.

Or, as Senator Lindsey Graham put it, “That’s like buying a ticket on the Titanic.”

A remarkable range of leading Republicans, including Gov. Nikki Haley of South Carolina and Senator Jeff Flake of Arizona, have been emphatic publicly or with their advisers and allies that they do not want to be considered as Mr. Trump’s running mate. The recoiling amounts to a rare rebuke for a front-runner: Politicians usually signal that they are not interested politely through back channels, or submit to the selection process, if only to burnish their national profiles.

But Mr. Trump has a singular track record of picking fights with obvious potential running mates like Senator Marco Rubio of Florida, who has indicated a lack of interest in the vice presidency generally and has yet to reconcile with Mr. Trump publicly. Ms. Haley and another potential pick, Gov. Susana Martinez of New Mexico, have sharply criticized Mr. Trump at recent party gatherings and do not want to be associated with his sometimes-angry tone, according to advisers and close associates who have spoken with these Republicans.

Several Republican consultants said their clients were concerned that Mr. Trump’s unusually high unfavorable ratings with all voters and his unpopularity among women and Hispanics could doom him as a general election candidate and damage their own future political prospects if they were on his ticket.

Worse than running and losing with Trump, being seen within fifty feet of him is now the new poison in the Republican Party.