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.
Double charge exchange reactions and neutrinoless double beta decay
E. Santopinto, J. Ferretti, R. Magana Vsevolodovna, H. García-Tecocoatzi, within the NUMEN project; Double charge exchange reactions and neutrinoless double beta decay. AIP Conf. Proc. 25 October 2019; 2165 (1): 020022. https://doi.org/10.1063/1.5130983
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