Four PCs based in Glasgow - Paul Keenan, Jamie Easton, Craig Brooks and Stephen Marlin - recorded a song called Won't Forget, which features Jai on vocals.
The song - written by Paul with the help of his colleagues - was recorded at the SAE Institute music school in Kinning Park, where the finishing touches are still being applied to the track.
Jai, who won BGT in 2011, heard about their efforts on Twitter and volunteered his services. A day later he was in the studio recording vocals for the track, which the officers hope will raise a lot of money for the appeal on behalf of the victims and survivors of the tragic helicopter crash.
Jai, 27, said: "People went out to listen to music that night and never came home. Their families have to live with that pain.
"Hopefully the efforts of The Clutha Appeal will help ease their suffering a little bit."
Paul is producing the track, which is being performed under the artist name, The Clutha Appeal.
All proceeds from the song will go to the Clutha Appeal Fund, set up by Glasgow City Council.