一個法律理論的邏輯問題：

I intend to ask a theoretical legal logic: if the prosecutor were certain that at least one of the two suspects were involved in a crime, but failed to prove who exactly was the perpetrator or both of them were; however at the same time, two suspects could neither exonerate themselves nor did they confess, can the judge find both or either of them guilty?

In a hypothetic case, the police found DNA were the only but solid evidence in a murder case. The DNA unfortunately belonged to twin brothers – thus they shared the same DNA. Neither of the brothers could provide a watertight alibi; both claimed their own innocence. Can any or both of them be found guilty? Is there any legal doctrine particularly set for this kind of situation under American legal system?