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Ongoing experimental efforts to measure with unprecedented precision electroncapture probabilities will challenge the current theoretical models. The shortrange of the weak interaction necessitates an accurate description of theatomic structure down to the nucleus region. In this study, an atomic modelinghas been developed in the framework of the relativistic density functionaltheory within which several exchange-correlation functionals andself-interaction-corrected models have been explored. A recent electron capturemodel has been modified in order to only test the influence of the atomicmodeling on the calculated decay probabilities. In particular, two importantpossibilities have been tested, the "no vacancy" and the "frozen orbital"approximations. Results have been compared to experimental values evaluatedfrom available published data. New high-precision measurements are stronglyencouraged as the accuracy of the current experimental values does not allow todraw a firm conclusion on the theoretical modeling to be employed.

Influence of the atomic modeling on the electron capture process