Relation between the $2νββ$ and $0νββ$ nuclear matrix elements

Details Relation between the $2νββ$ and $0νββ$ nuclear matrix elements Relation between the $2νββ$ and $0νββ$ nuclear matrix elements

2011-08-08

arxiv.org/abs/1108.1770v1

Physics

Nuclear Physics

Nuclear Theory

Talk at the MEDEX'11 workshop, Prague, June 2011

Scientific paper

A formal relation between the GT part of the nuclear matrix elements $M^0\nu}_{GT}$ of $0\nu\beta\beta$ decay and the closure matrix elements $M^{2\nu}_{cl}$ of $2\nu\beta\beta$ decay is established. This relation is based on the integral representation of these quantities in terms of their dependence on the distance $r$ between the two nucleons undergoing transformation. We also discuss the difficulties in determining the correct values of the closure $2\nu\beta\beta$ decay matrix elements.

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