Pair correlations in the neutrinoless double-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>β</mml:mi></mml:mrow></mml:math>decay candidate<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Te</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>130</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>

Pair correlations in the ground state of $^{130}\mathrm{Te}$ have been investigated using pair-transfer experiments to explore the validity of approximations in calculating the matrix element for neutrinoless double-$\ensuremath{\beta}$ decay. This nucleus is a candidate for the observation of such decay, and a good understanding of its structure is crucial for eventual calculations of the neutrino mass, should such a decay indeed be observed. For proton-pair adding, strong transitions to excited 0${}^{+}$ states had been observed in the Te isotopes by Alford et al. [Nucl. Phys. A 323, 339 (1979)], indicating a breaking of the BCS approximation for protons in the ground state. We measured the neutron-pair removing ($p$,$t$) reaction on $^{130}\mathrm{Te}$ and found no indication of a corresponding splitting of the BCS nature of the ground state for neutrons.

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