Abstract

We used a high-resolution magnetic spectrograph to study neutron pair-correlated 0+0^+ states in 136^{136}Ba, produced via the 138Ba(p,t)^{138}{\rm Ba}(p,t) reaction. In conjunction with state-of-the-art shell model calculations, these data benchmark part of the dominant Gamow-Teller component of the nuclear matrix element (NME) for 136^{136}Xe neutrinoless double beta (0νββ0νββ) decay. We demonstrate for the first time an evaluation of part of a 0νββ0νββ decay NME by use of an experimental observable, presenting a new avenue of approach for more accurate calculations of 0νββ0νββ decay matrix elements.

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