Searching signature of neutrino-nucleus coherent scattering with Mössbauer Spectroscopy

The Mössbauer spectroscopy is proposed as an alternative experimental technique to be pursued in the detection of Coherent Elastic ν-Nucleus Scattering (CENNS). The neutrino transferred energy in the neutrino-nucleus interaction causes a perturbation at the nuclear level structure of the Mössbauer isotope, leading to a displacement of the isomeric peak of the electromagnetic resonance. We calculate this isomeric shift correction due to the occurrence of CENNS and show that this quantity can be measured with enough precision in a typical Mössbauer spectroscopic experiment. We also shown that a reasonable number of events is expected and allow to extract the correction in the isomeric shift in a typical neutrino reactor flux. This isomeric shift correction is pointed out as a figure of merit for signature of CENNS in our proposal. (paper)