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Parameterization of the statistical rate function for select superallowed transitions

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arxiv 1412.0727 v1 pith:3OO4E4JF submitted 2014-12-01 nucl-th nucl-ex

Parameterization of the statistical rate function for select superallowed transitions

classification nucl-th nucl-ex
keywords transitionsparameterizationsuperallowedanalogfunctionprecisionratestates
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present a parameterization of the statistical rate function, f, for 20 superallowed 0+-to-0+ nuclear beta transitions between T=1 analog states, and for 18 superallowed "mirror" transitions between analog T=1/2 states. All these transitions are of interest in the determination of V_{ud}. Although most of the transition Q_{EC} values have been measured, their precision will undoubtedly be improved in future. Our parameterization allows a user to easily calculate the corresponding new f value to high precision (+/-0.01%) without complicated computing.

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    Chiral EFT predictions at N2LO for the tritium Gamow-Teller matrix element, with parameters fixed from scattering, overestimate the empirical value and indicate large higher-order corrections.