%0 Journal Article
%T Can one measure nuclear matrix elements of neutrinoless double beta decay?
%A Vadim Rodin
%A Amand Faessler
%J Physics
%D 2009
%I arXiv
%R 10.1103/PhysRevC.80.041302
%X By making use of the isospin conservation by strong interaction, the Fermi $0\nu\beta\beta$ nuclear matrix element $M_{F}^{0\nu}$ is transformed to acquire the form of an energy-weighted double Fermi transition matrix element. This useful representation allows reconstruction of the total $M_{F}^{0\nu}$ provided a small isospin-breaking Fermi matrix element between the isobaric analog state in the intermediate nucleus and the ground state of the daughter nucleus could be measured, e.g. by charge-exchange reactions. Such a measurement could set a scale for the $0\nu\beta\beta$ nuclear matrix elements and help much to discriminate between different nuclear structure models in which calculated $M_{F}^{0\nu}$ may differ by as much as the factor of 5.
%U http://arxiv.org/abs/0906.1759v2