V. SharmaL. SinghH. T. WongM. AgartiogluJIUNN-WEI CHENM. DenizS. KermanH. B LiC. -P. LiuK. SaraswatM. K. SinghV. Singh2022-12-232022-12-232020-10-142470-0010https://scholars.lib.ntu.edu.tw/handle/123456789/626746V2 Published Version, 10 pages, 10 figuresNeutrino-nucleus elastic scattering ($\nu {\rm A}_{el}$) 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 $\alpha ( q^2 )$. The relations between $\alpha$ and the underlying nuclear physics in terms of nuclear form factors are derived. The dependence of cross-section on $\alpha ( q^2 )$ for the various neutrino sources is presented. The $\alpha ( q^2 )$-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 $q^2 {=} 3.1 {\times} 10^{3} ~ {\rm MeV^2}$ and with $p {=} 0.016$ at $q^2 {=} 2.3 {\times} 10^{3} ~ {\rm MeV^2}$, respectively, verifying that both QM superpositions and nuclear many-body effects contribute to $\nu {\rm A}_{el}$ interactions.High Energy Physics - Experiment; High Energy Physics - Experiment; High Energy Physics - Phenomenology; Nuclear Experimentjournal article10.1103/PhysRevD.103.0920022-s2.0-85105949753WOS:000649438300001http://arxiv.org/abs/2010.06810v2