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As shown in Ref.\cite{Rod09}, the Fermi nuclear matrix element $M^{0\nu}_F$of neutrinoless double beta ($0\nu\beta\beta$) decay can be reconstructed ifone is able to measure the isospin-forbidden single Fermi transition matrixelement from the ground state of the final nucleus to the isobaric analog state(IAS) of the initial nucleus, for instance by means of charge-exchangereactions of the $(n,p)$-type. Here, simple estimates for $^{82}$Se are madewhich show that indeed the tiny cross section $\sigma_{np}(0_f^+\to IAS)$ isdominated by the admixture of the double IAS in the ground state of the finalnucleus provided that the isospin mixing is weak and can be treatedperturbatively. A measurement of such a cross section would definitely be avery difficult task, but it can advance a lot our knowledge of the$0\nu\beta\beta$ nuclear matrix element.

On the possibility to measure nuclear matrix elements of neutrinoless double beta decay in charge-exchange reactions