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Searches for new physics in the coherent elastic neutrino-nucleus scatteringrequire a precise knowledge of the neutrino flux and energy spectrum. In thispaper we investigate the feasibility and the performances of an experimentbased on a $^{51}$Cr source, whose neutrino spectrum is known and whoseactivity can be heat-monitored at few permil level. With a 5 MCi source placedat ~ 25 cm from the detector, under an exposure of two $^{51}$Cr half-lives(55.4 days), we evaluate 3900 (900) counts on a 2000 cm$^3$ target of germanium(sapphire) featuring an energy threshold of 8 (20) eV. To further increase theexposure, multiple activations of the same source could be possible.

Coherent elastic nuclear scattering of $^{51}$Cr neutrinos