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It is in principle possible to measure directly the electron neutrino mass (or masses and mixing angles) in weak electron-capture decays. The optimal nuclide in this respect is $^{163}$Ho. The favoured experimental technique, currently pursued in various experiments (ECHo, HOLMES and NuMECS) is calorimetric. The calorimetric energy spectrum is a sum over the unstable vacant orbitals, or holes, left by the electrons weakly captured by the nucleus. We discuss the current progress in this field and analize the preliminary data. Our conclusion is that, as pointed out by Robertson, the contribution of two-hole states is not negligible. But --in strong contradistinction with the tacit conclusion of previous comparisons of theory and observations-- we find a quite satisfactory agreement. A crucial point is that, in the creation of secondary holes, electron shakeoff and not only electron shakeup must be taken into account.
The electron-neutrino mass (or masses and mixing angles) may be directly measurable in weak electron-capture decays. The favoured experimental technique is calorimetric. The optimal nuclide is $^{163}$Ho, and several experiments (ECHo, HOLMES and NuM
The isotope $^{163}$Ho undergoes an electron capture process with a recommended value for the energy available to the decay, $Q_{rm EC}$, of about 2.5 keV. According to the present knowledge, this is the lowest $Q_{rm EC}$ value for electron capture
The determination of the absolute scale of the neutrino masses is one of the most challenging questions in particle physics. Different approaches are followed to achieve a sensitivity on neutrino masses in the sub-eV range. Among them, experiments ex
The determination of the electron neutrino mass by electron capture in $^{163}$Ho relies on a precise understanding of the deexcitation of a core hole after an electron capture event. We here present an textit{ab intio} calculation of the electron ca
The determination of the absolute scale of the neutrino masses is one of the most challenging present questions in particle physics. The most stringent limit, $m(bar{ u}_{mathrm{e}})<2$eV, was achieved for the electron anti-neutrino mass cite{numass}