Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2009-06-09
Phys.Rev.C80:041302,2009
Physics
Nuclear Physics
Nuclear Theory
4 pages, to be published in Physical Review C
Scientific paper
10.1103/PhysRevC.80.041302
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.
Faessler Amand
Rodin Vadim
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