However there is a constitutional basis pointing out an acquittal in the senate cannot be tried twice. The odd part is if he had been found guilty he could have been tried again. Note it says Party convicted. Trump was not convicted.
Browse the Constitution Annotated
Article I
Section 3 Senate
Clause 7 Impeachment Judgments
Judgment in Cases of Impeachment shall not extend further than to removal from Office, and disqualification to hold and enjoy any Office of honor, Trust or Profit under the United States: but the Party convicted shall nevertheless be liable and subject to Indictment, Trial, Judgment and Punishment, according to Law.