Rick Santorum

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** FILE ** In this Nov. 18, 2013, file photo former Pennsylvania Sen. Rick Santorum is seen in New York. (AP Photo/Seth Wenig, File)

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Rick Santorum's new book identifies a new voting demographic and possibly sets the stage for a White House run. (Regnery Publishing)

Former Pennsylvania Sen. Rick Santorum speaks during the leadership forum at the National Rifle Association's annual convention Friday, April 25, 2014, in Indianapolis. Several potential Republican contenders for president were courting gun-rights supporters at the convention Friday. (AP Photo/AJ Mast)

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Former Pennsylvania U.S. Sen. Rick Santorum responds to a question as he meets with reporters at The Citadel in Charleston, S.C., Monday, April 14, 2014. Santorum, who finished third in 2012 in the South Carolina GOP presidential primary, the first in the South, was attending several political events in the state. He said it will be next year before he makes a decision on making another run for the presidency. (AP Photo/Bruce Smith)

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Former Pennsylvania U.S. Sen. Rick Santorum responds to a question as he meets with reporters at The Citadel in Charleston, S.C., Monday, April 14, 2014. Santorum, who finished third in 2012 in the South Carolina GOP presidential primary, the first in the South, was attending several political events in the state. Santorum said it will be next year before he makes a decision on making another run for the presidency. (AP Photo/Bruce Smith)

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Former Pennsylvania Sen. Rick Santorum sits on the set of Iowa Press before taping at the Iowa Public Television studios, Wednesday, March 26, 2014, in Johnston, Iowa. Santorum narrowly won the 2012 Iowa caucuses and has been ambivalent about whether he'll seek the GOP nomination a second time. (AP Photo/Charlie Neibergall)

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Former Pennsylvania Sen. Rick Santorum sits on the set of Iowa Press before taping at the Iowa Public Television studios, Wednesday, March 26, 2014, in Johnston, Iowa. Santorum narrowly won the 2012 Iowa caucuses and has been ambivalent about whether he'll seek the GOP nomination a second time. (AP Photo/Charlie Neibergall)

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Former Pennsylvania Sen. Rick Santorum sits on the set of Iowa Press before taping at the Iowa Public Television studios, Wednesday, March 26, 2014, in Johnston, Iowa. Santorum narrowly won the 2012 Iowa caucuses and has been ambivalent about whether he'll seek the GOP nomination a second time. (AP Photo/Charlie Neibergall)

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Former Pennsylvania Sen. Rick Santorum sits on the set of Iowa Press before taping at the Iowa Public Television studios, Wednesday, March 26, 2014, in Johnston, Iowa. Santorum narrowly won the 2012 Iowa caucuses and has been ambivalent about whether he'll seek the GOP nomination a second time. (AP Photo/Charlie Neibergall)