Operation Zero Chametz

Is there some way of avoiding the ownership of chametz on Passover without getting rid of your chametz forever?

There is. Since the commandment to rid one's domain of chametz is binding only on a Jew, you can sell your chametz to a non-Jew, and then buy it back from him after Passover. The area where the chametz is held is leased to the non-Jew for the duration of the festival. This sale is not symbolic but a 100% legally binding transaction, and must therefore be conducted by a competent rabbi.