We used a high-resolution magnetic spectrograph to study neutron pair-correlated states in $^{136}$Ba, produced via the 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 $^{136}$Xe neutrinoless double beta () decay. We demonstrate for the first time an evaluation of part of a decay NME by use of an experimental observable, presenting a new avenue of approach for more accurate calculations of decay matrix elements.
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"value": "We used a high-resolution magnetic spectrograph to study neutron pair-correlated <math><msup><mrow><mn>0</mn></mrow><mrow><mo>+</mo></mrow></msup></math> states in $^{136}$Ba, produced via the <math><mmultiscripts><mrow><mi>Ba</mi></mrow><mprescripts></mprescripts><none></none><mrow><mn>138</mn></mrow></mmultiscripts><mo>(</mo><mi>p</mi><mo>,</mo><mi>t</mi><mo>)</mo></math> 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 $^{136}$Xe neutrinoless double beta (<math><mn>0</mn><mi>\u03bd</mi><mi>\u03b2</mi><mi>\u03b2</mi></math>) decay. We demonstrate for the first time an evaluation of part of a <math><mn>0</mn><mi>\u03bd</mi><mi>\u03b2</mi><mi>\u03b2</mi></math> decay NME by use of an experimental observable, presenting a new avenue of approach for more accurate calculations of <math><mn>0</mn><mi>\u03bd</mi><mi>\u03b2</mi><mi>\u03b2</mi></math> decay matrix elements."
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