The brewing paternity dispute involving U.S. model Anna Nicole Smith's new daughter now involves a sterile real estate mogul.

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Real estate magnate Ted Thompson has signed an affidavit in which he claims that the former Playboy model attempted to convince him that he was her daughter's father -- despite the fact he had undergone a vasectomy in the past, said TMZ.com.

Thompson alleges that after he turned down Smith, who he had an affair with last year, the 38-year-old actress eventually had her lawyer, Howard K. Stern, named as the official father of her new child.

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In the affidavit, Thompson said Smith had confessed to him that the true father of Dannielynn Hope Marshall Stern was actually her former boyfriend, Larry Birkhead -- who has been fighting to be recognized as the father.

People magazine reported that Smith was released Monday from a Bahamas hospital where she had been treated for pneumonia for the last week.