Rearrangement of valence neutrons in the neutrinoless double-$\beta$ decay of ${}^{136}$Xe

Abstract

A quantitative description of the change in ground-state neutron occupancies between ${}^{136}$Xe and ${}^{136}$Ba, the initial and final state in the neutrinoless double-$\beta$ decay of ${}^{136}$Xe, has been extracted from precision measurements of the cross sections of single-neutron adding and -removing reactions. Comparisons are made to recent theoretical calculations of the same properties using various nuclear-structure models. These are the same calculations used to determine the magnitude of the nuclear matrix elements for the process, which at present disagree with each other by factors of 2 or 3. The experimental neutron occupancies show some disagreement with the theoretical calculations.

7 pages, 3 figures, 1 table

References in corpus (6)

• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Disassembling the Nuclear Matrix Elements of the Neutrinoless double beta Decay
• Limit on Neutrinoless ββ Decay of Xe-136 from the First Phase of KamLAND-Zen and Comparison with the Positive Claim in Ge-76
• Nuclear Structure Relevant to Neutrinoless Double Beta Decay: 76Ge and 76Se
• Nuclear Structure Relevant to Neutrinoless Double Beta Decay: the Valence Protons in 76Ge and 76Se
• Shell model studies of the ${}^{130}Te$ neutrinoless double-beta decay

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• An experimental study of the rearrangements of valence protons and neutrons amongst single-particle orbits during double β decay in 100Mo
• Predicting the neutrinoless double-beta decay matrix element of ${}^{136}$Xe using a statistical approach
• Benchmarking ${}^{136}$Xe Neutrinoless $\beta \beta$ Decay Matrix Element Calculations with the ${}^{138}\mathrm{Ba}(p,t)$ Reaction
• Investigation of pair-correlated $0^{+}$ states in ${}^{134}$Ba via the ${}^{136}$Ba($p,t$) reaction
• Spectroscopy of states in ${}^{136}\mathrm{Ba}$ using the ${}^{138}\mathrm{Ba}(\mathrm{p},\mathrm{t})$ reaction
• Neutron-hole strength in N = 81 nuclei
• Neutron occupancies and single-particle energies across the stable tin isotopes