Studies of quantum-mechanical coherency effects in neutrino-nucleus elastic scattering
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Abstract
Neutrino-nucleus elastic scattering ($\ensuremath{\nu}{\mathrm{A}}_{el}$) provides a unique laboratory to study the quantum-mechanical (QM) coherency effects in electroweak interactions. The deviations of the cross sections from those of completely coherent systems can be quantitatively characterized through a coherency parameter $\ensuremath{\alpha}({q}^{2})$. The relations between $\ensuremath{\alpha}$ and the underlying nuclear physics in terms of nuclear form factors are derived. The dependence of cross section on $\ensuremath{\alpha}({q}^{2})$ for the various neutrino sources is presented. The $\ensuremath{\alpha}({q}^{2})$ values are evaluated from the measured data of the COHERENT CsI and Ar experiments. Complete coherency and decoherency conditions are excluded by the CsI data with $p=0.004$ at ${q}^{2}=3.1\ifmmode\times\else\texttimes\fi{}{10}^{3}\text{ }\text{ }{\mathrm{MeV}}^{2}$ and $p=0.016$ at ${q}^{2}=2.3\ifmmode\times\else\texttimes\fi{}{10}^{3}\text{ }\text{ }{\mathrm{MeV}}^{2}$, respectively, verifying that both QM superpositions and nuclear many-body effects contribute to $\ensuremath{\nu}{\mathrm{A}}_{el}$ interactions.
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