Direct decay-energy measurement as a route to the neutrino mass
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abstract
A high-precision measurement of the $^{131}$Cs$ ightarrow ^{131}$Xe ground-to-ground-state electron-capture $Q_{ extrm{EC}}$-value was performed using the ISOLTRAP mass spectrometer at ISOLDE/CERN. The novel PI-ICR technique allowed to reach a relative mass precision $delta m/m$ of $1.4cdot10^{-9}$. A mass resolving power $m/Delta m$ exceeding $1cdot10^7$ was obtained in only $1,$s trapping time. Allowed electron-capture transitions with sub-keV or lower decay energies are of high interest for the direct determination of the $ u_e$ mass. The new measurement improves the uncertainty on the ground-to-ground-state $Q_{ extrm{EC}}$-value by a factor 25 precluding the $^{131}$Cs$ ightarrow ^{131}$Xe pair as a feasible candidate for the direct determination of the $ u_e$ mass.