Direct <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>Q</mml:mi></mml:mrow></mml:math>-Value Determination of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>β</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math> Decay of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>Re</mml:mi></mml:mrow><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>187</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow></mml:math>
P. Filianin, Chunhai Lyu, Menno Door, K. Blaum, W. J. Huang, M. W. Haverkort, P. Indelicato, Christoph H. Keitel, Kathrin Kromer, Daniel Lange, Yu. N. Novikov, Alexander Rischka, R. X. Schüssler, Christoph Schweiger, S. Sturm, S. Ulmer, Z. Harman, S. Eliseev
Abstract
The cyclotron frequency ratio of ${^{187}\mathrm{Os}}^{29+}$ to ${^{187}\mathrm{Re}}^{29+}$ ions was measured with the Penning-trap mass spectrometer PENTATRAP. The achieved result of $R=1.000\text{ }000\text{ }013\text{ }882(5)$ is to date the most precise such measurement performed on ions. Furthermore, the total binding-energy difference of the 29 missing electrons in Re and Os was calculated by relativistic multiconfiguration methods, yielding the value of $\mathrm{\ensuremath{\Delta}}E=53.5(10)\text{ }\text{ }\mathrm{eV}$. Finally, using the achieved results, the mass difference between neutral $^{187}\mathrm{Re}$ and $^{187}\mathrm{Os}$, i.e., the $Q$ value of the ${\ensuremath{\beta}}^{\ensuremath{-}}$ decay of $^{187}\mathrm{Re}$, is determined to be 2470.9(13) eV.