Change of nuclear configurations in the neutrinoless double-$\beta$ decay of ${}^{130}$Te $\to$ ${}^{130}$Xe and ${}^{136}$Xe $\to$ ${}^{136}$Ba

Abstract

The change in the configuration of valence protons between the initial and final states in the neutrinoless double-$\beta$ decay of ${}^{130}$Te $\to$ ${}^{130}$Xe and of ${}^{136}$Xe $\to$ ${}^{136}$Ba has been determined by measuring the cross sections of the ($d$,${}^3$He) reaction with 101-MeV deuterons. Together with our recent determination of the relevant neutron configurations involved in the process, a quantitative comparison with the latest shell-model and interacting-boson-model calculations reveals significant discrepancies. These are the same calculations used to determine the nuclear matrix elements governing the rate of neutrinoless double-$\beta$ decay in these systems.

arXiv comment10 pages, 4 figures, 9 tables

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• Heavy-ion double-charge-exchange and its relation to neutrinoless double-beta decay
• Calculation of Gamow-Teller and Two-Neutrino Double-Beta Decay Properties for 130Te and 136Xe with a realistic nucleon-nucleon potential
• Study of one-proton transfer reaction for the ${}^{18}$O + ${}^{48}$Ti system at 275 MeV
• Neutrinoless $\beta \beta$-decay nuclear matrix elements from two-neutrino $\beta \beta$-decay data
• An experimental study of the rearrangements of valence protons and neutrons amongst single-particle orbits during double β decay in 100Mo
• Rearrangement of valence neutrons in the neutrinoless double-$\beta$ decay of ${}^{136}$Xe
• Early signal of emerging nuclear collectivity in neutron-rich ${}^{129}$Sb
• Nuclear matrix elements of neutrinoless double-$\beta$ decay in the triaxial projected shell model
• 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
• One-neutron transfer reaction in the ${}^{18}$O + ${}^{48}$Ti collision at 275 MeV
• High-$j$ neutron excitations outside ${}^{136}$Xe
• Neutron-hole strength in N = 81 nuclei