Evidence for the exchange effect in the β decay of $^{241}$Pu - Archive ouverte HAL Access content directly
Journal Articles Physical Review A : Atomic, molecular, and optical physics Year : 2012

## Evidence for the exchange effect in the β decay of $^{241}$Pu

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Xavier Mougeot
• Function : Correspondent author
• PersonId : 1064626

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Marie-Martine Bé
• Function : Author
• PersonId : 1032509
Charlène Bisch
• Function : Author
• PersonId : 1064660
Martin Loidl
• Function : Author
• PersonId : 973156

#### Abstract

The exchange effect has been previously given as a possible explanation for a significant deviation from an allowed shape observed at low energy in the $^{241}$Pu β spectrum. Calculations set out here confirm that this atomic effect explains a large part of this deviation. The equations needed to calculate the exchange effect are detailed, as well as the evaluation of the confluent hypergeometric function for complex arguments of large magnitudes. After a review of the possible other effects that could explain the remaining discrepancy at low energy, the screening correction using effective nuclear charges seems to be the best explanation. For radionuclides with high Z, this work has demonstrated the necessity to take into account the spatial variation of the nuclear charge experienced by the ejected electron to accurately correct for the screening effect.

### Dates and versions

cea-02475354 , version 1 (21-06-2022)

### Identifiers

• HAL Id : cea-02475354 , version 1
• DOI :

### Cite

Xavier Mougeot, Marie-Martine Bé, Charlène Bisch, Martin Loidl. Evidence for the exchange effect in the β decay of $^{241}$Pu. Physical Review A : Atomic, molecular, and optical physics, 2012, 86 (4), pp.042506. ⟨10.1103/PhysRevA.86.042506⟩. ⟨cea-02475354⟩

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