Please help with identifying the following short story.
The story plot goes as follows: scientists discover a way to transfer sick people who are on their deathbed to the future and cure them of their illness. They look for somebody who is important enough to be worth bringing to the future and yet young enough to be interesting after being brought in and healed. They choose specifically the italian composer Giovanni Battista Pergolesi (in real world, died at 26 form tuberculosis). After they bring him in, he proceeds to quickly become a successful rockstar.
Unfortunately, do not know the author or the time when it was published.