Renormalizing the double-beta operator for the shell model

We review work, much of it by the author and collaborators, to take omitted levels into account in shell-model calculations of neutrinoless double-beta decay. Previous work on this type of problem deals mainly with corrections to the shell-model Hamiltonian. Here we focus on corrections to the two-b...

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Bibliographic Details
Published in:Journal of physics. G, Nuclear and particle physics Nuclear and particle physics, 2012-12, Vol.39 (12), p.124001-16
Main Author: Engel, Jonathan
Format: Article
Language:English
Subjects:
Decay
Decay rate
Mathematical models
Operators
Particle physics
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Summary:We review work, much of it by the author and collaborators, to take omitted levels into account in shell-model calculations of neutrinoless double-beta decay. Previous work on this type of problem deals mainly with corrections to the shell-model Hamiltonian. Here we focus on corrections to the two-body transition operator that governs the rate of neutrinoless decay. Corrections in the form of two-body effective operators appear to be significant but have yet to be fully pinned down. Three-body effective operators may be significant as well.
ISSN:0954-3899
1361-6471
DOI:10.1088/0954-3899/39/12/124001