Fast, efficient calculations of the two-body matrix elements of the transition operators for neutrinoless double-β decay

Andrei Neacsu, Sabin Stoica, Mihai Horoi

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29 Scopus citations

Abstract

We present a new, fast algorithm and computing code developed to efficiently calculate the two-body matrix elements (TBMEs) of the neutrinoless double-beta decay transition operator, which are necessary for the shell model calculation of the double-beta decay matrix elements in the closure approximation. The improvement consists of a rearrangement of the expression of the TBMEs that allows us to do the radial integrals analytically, and thus only the integration over the momentum remains to be performed numerically. This fast algorithm is an important step forward in investigating quenching effects of the transition operator by considering their evolution in increasingly larger shell model spaces.

Original languageEnglish
Article number067304
JournalPhysical Review C - Nuclear Physics
Volume86
Issue number6
DOIs
StatePublished - Dec 17 2012

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