Published January 1, 2021 | Version v1
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Studies of quantum-mechanical coherency effects in neutrino-nucleus elastic scattering

  • 1. Institute of Physics, Academia Sinica, Taipei 11529, Taiwan
  • 2. Department of Physics, CTS and LeCosPA, National Taiwan University, Taipei 10617, Taiwan
  • 3. Department of Physics, Dokuz Eylül University, Buca, İzmir 35160, Turkey
  • 4. Department of Physics, National Dong Hwa University, Shoufeng, Hualien 97401, Taiwan
  • 5. Department of Physics, Institute of Science, Banaras Hindu University, Varanasi 221005, India

Description

Neutrino-nucleus elastic scattering ($\nu {A}_{el}$) 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 $\alpha \left({q}^{2}\right)$. The relations between $\alpha $ and the underlying nuclear physics in terms of nuclear form factors are derived. The dependence of cross section on $\alpha \left({q}^{2}\right)$ for the various neutrino sources is presented. The $\alpha \left({q}^{2}\right)$ 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 ${q}^{2}=3.1×{10}^{3}\text{}\text{}{\mathrm{MeV}}^{2}$ and $p=0.016$ at ${q}^{2}=2.3×{10}^{3}\text{}\text{}{\mathrm{MeV}}^{2}$, respectively, verifying that both QM superpositions and nuclear many-body effects contribute to $\nu {A}_{el}$ interactions.

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PhysRevD.103.092002.pdf

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