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

• Main Authors: Entwisle, J. P, Kay, B. P, Tamii, A, Adachi, S, Aoi, N, Clark, J. A, Freeman, S. J, Fujita, H, Fujita, Y, Furuno, T, Hashimoto, T, Hoffman, C. R, Ideguchi, E, Ito, T, Iwamoto, C, Kawabata, T, Liu, B, Miura, M, Ong, H. J, Schiffer, J. P, Sharp, D. K, Süsoy, G, Suzuki, T, Szwec, S. V, Takaki, M, Tsumura, M, Yamamoto, T
• Format: Journal Article
• Language: English
• Published: 13-06-2016
• Subjects: Physics - Nuclear Experiment; Physics - Nuclear Theory
• DOI: 10.48550/arxiv.1606.04028

Phys. Rev. C 93, 064312 (2016) The change in the configuration of valence protons between the initial and
final states in the neutrinoless double-$\beta$ decay of $^{130}$Te
$\rightarrow$ $^{130}$Xe and of $^{136}$Xe $\rightarrow$ $^{136}$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.