Double charge exchange reactions and neutrinoless double beta decay

Abstract

Using the eikonal approximation and small momentum transfer approximation a simple model for differential cross section for double charge exchange has been derived and under those hypothesis a factorization of the reaction part and the nuclear part holds. Moreover, the explicit form for a double charge exchange effective potential has been derived in the closure approximation and also and explicit expression for the nuclear matrix elements that are of the form of Double Gamow-Teller and Double Fermi in the microscopic IBM-2.