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We propose an experimental setup to observe coherent elastic neutrino-atomscattering (CE$\nu$AS) using electron antineutrinos from tritium decay and aliquid helium target. In this scattering process with the whole atom, that hasnot beeen observed so far, the electrons tend to screen the weak charge of thenucleus as seen by the electron antineutrino probe. The interference betweenthe nucleus and the electron cloud produces a sharp dip in the recoil spectrumat atomic recoil energies of about 9 meV, reducing sizeably the number ofexpected events with respect to the coherent elastic neutrino-nucleusscattering case. We estimate that with a 60 g tritium source surrounded by 500kg of liquid helium in a cylindrical tank, one could observe the existence ofCE$\nu$AS processes at 3$\sigma$ in 5 years of data taking. Keeping the sameamount of helium and the same data-taking period, we test the sensitivity tothe Weinberg angle and a possible neutrino magnetic moment for three differentscenarios: 60 g, 160 g, and 500 g of tritium. In the latter scenario, theStandard Model (SM) value of the Weinberg angle can be measured with astatistical uncertainty of$\sin^2{\vartheta_W^{\mathrm{SM}}}^{+0.015}_{-0.016}$. This would represent thelowest-energy measurement of $\sin^2{\vartheta_W}$, with the advantage of beingnot affected by the uncertainties on the neutron form factor of the nucleus asthe current lowest-energy determination. Finally, we study the sensitivity ofthis apparatus to a possible electron neutrino magnetic moment and we find thatusing 60 g of tritium it is possible to set an upper limit of about$7\times10^{-13}\,\mu_B$ at 90% C.L., that is more than one order of magnitudesmaller than the current experimental limit.

physical review. d/physical review. d.

Potentialities of a low-energy detector based on $^4$He evaporation to  observe atomic effects in coherent neutrino scattering and physics  perspectives