Atomic corrections for the unique first forbidden transition of Re
arXiv:2309.15918 · doi:10.1103/PhysRevC.109.025501
Abstract
In this paper, we reexamine one of the most promising candidates for determining the neutrino mass scale -- the unique first forbidden transition from Re() to Os(). With the lowest-known ground-state to ground-state -value for a transition at keV, rhenium's decay can offer insights into the neutrino mass scale puzzle. However, understanding its electron spectrum is a complex task. Besides involving a mixture of -state and -state electrons, the rhenium spectrum could be strongly influenced by various atomic corrections. In addition to our previous paper, we have incorporated finite nuclear size, diffuse nuclear surface, screening, and exchange corrections into the rhenium decay model. We have accounted for the last two effects within the framework of the Dirac-Hartree-Fock-Slater self-consistent method. We have discovered that both screening and exchange effects significantly alter the partial decay rates for the - and -state emission channels, while still maintaining the experimentally confirmed dominance of the -state emission. The ratio between the respective decay rates has been found to be approximately . When compared to the other corrections, the exchange effect stands out due to the modification it induces in the spectrum shape. We demonstrate that calculations with and without the exchange effect lead to entirely different shape factors for the decay spectrum. Finally, we illustrate that to preserve the linearity of the Kurie plot, it is essential to include the exchange correction in its definition. We conclude that atomic effects, especially the exchange effect, should be taken into account in current and future investigations of the neutrino mass scale from decays.
arXiv comment13 pages, 8 figures
References in corpus (23)
- Nuclear ground-state masses and deformations: FRDM(2012)
- The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological Implications from two Decades of Spectroscopic Surveys at the Apache Point observatory
- Massive neutrinos and cosmology
- Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
- Final Results from phase II of the Mainz Neutrino Mass Search in Tritium Decay
- Final Results of GERDA on the Search for Neutrinoless Double- Decay
- An upper limit on electron antineutrino mass from Troitsk experiment
- DESI and other dark energy experiments in the era of neutrino mass measurements
- Search for the Majorana Nature of Neutrinos in the Inverted Mass Ordering Region with KamLAND-Zen
- Direct Measurement of the Mass Difference of Ho163 and Dy163 Solves the Q-Value Puzzle for the Neutrino Mass Determination
- LevelScheme: A level scheme drawing and scientific figure preparation system for Mathematica
- High precision analytical description of the allowed spectrum shape
- Beyond six parameters: extending CDM
- Direct Measurements of Neutrino Mass
- Deconstructing the neutrino mass constraint from galaxy redshift surveys
- Radiative Corrections in Precision Electroweak Physics: a Historical Perspective
- -Decay Spectrum, Response Function and Statistical Model for Neutrino Mass Measurements with the KATRIN Experiment
- Development of holmium-163 electron-capture spectroscopy with transition-edge sensors
- Improved calculations of beta decay backgrounds to new physics in liquid xenon detectors
- Updated evaluation of potential ultra-low Q value -decay candidates
- Exchange correction for allowed -decay
- The absolute mass of neutrino and the first unique forbidden beta-decay of 187Re