Electron-antineutrino spectrum from precision measurements of ${}^{144}$Pr-decay

Abstract

The ${}^{144}$Ce -- ${}^{144}$Pr electron antineutrino source is one of the most suitable radiochemical sources for experiments searching for the oscillations of active neutrinos to the light sterile state. In the current work the $\beta$-spectra of ${}^{144}\mathrm{Ce}$ -- ${}^{144}\mathrm{Pr}$ source have been measured by two types of $\beta$-spectrometers based on silicon Si(Li) detectors in order to determine the energy spectrum of electron anti-neutrino emitted in the $\beta$-decay of ${}^{144}\mathrm{Pr}$ nuclei. The nuclear shape factor of the ground state beta transition in ${}^{144}\mathrm{Pr}-{}^{144}\mathrm{Nd}$ has been obtained with high precision: $C(W)=1+(-0.0301\pm 0.0007)W+(-0.101\pm 0.006)W^{-1}$. The reduced cross section for the inverse beta decay reaction on hydrogen for the ${}^{144}\mathrm{Pr}$ electron anti-neutrino source has been defined as $(4.7344\pm 0.0006_{\mathrm{stat}}\pm 0.013_{\mathrm{syst}})\times 10^{-44}\mathrm{c}{\mathrm{m}}^2{\mathrm{decay}}^{-1}$ that provides sufficient sensitivity to search for a sterile neutrino with a mass of $m_4\sim 1$~eV and a mixing angle $Si{n}^2(2{\theta }_{14})\sim 0.005$ using standard disappearance method.

11 pages, 9 figures

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