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Published 2011 | Published
Book Section - Chapter Open

Relation between the 2νββ and 0νββ nuclear matrix elements

Abstract

A formal relation between the GT part of the nuclear matrix elements M_(GT)^(0ν) of 0νββ decay and the closure matrix elements M_(cl)^(2ν) of 2νββ 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 2νββ decay matrix elements.

Additional Information

© 2011 American Institute of Physics. The authors would like to thank the organizers of MEDEX'11 for an opportunity to present their result. The work of P.V. was partially supported by the US Department of Energy under Contract No. DE-FG02-88ER40397. F.Š acknowledges the support by the VEGA Grant agency under the contract No. 1/0249/03.

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