Measurement of the quadrupole moment of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Re</mml:mi><mml:mprescripts/><mml:none/><mml:mn>185</mml:mn></mml:mmultiscripts></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Re</mml:mi><mml:mprescripts/><mml:none/><mml:mn>187</mml:mn></mml:mmultiscripts></mml:math> from the hyperfine structure of muonic X rays
Aldo Antognini, N. Berger, T. E. Cocolios, R. Dressler, R. Eichler, A. Eggenberger, P. Indelicato, K. Jungmann, Christoph H. Keitel, K. Kirch, A. Knecht, Niklas Michel, J. Nuber, Natalia S. Oreshkina, Ahmed Ouf, A. Papa, Randolf Pohl, Maxim Pospelov, E. Rapisarda, N. Ritjoho, S. Roccia, N. Severijns, A. Skawran, Stergiani Marina Vogiatzi, Frederik Waûters, Lorenz Willmann
Abstract
The hyperfine splitting of the $5g\ensuremath{\rightarrow}4f$ transitions in muonic $^{185,187}\mathrm{Re}$ has been measured using high resolution high purity germanium detectors and compared to state-of-the-art atomic theoretical predictions. The spectroscopic quadrupole moment has been extracted using modern fitting procedures and compared to the values available in literature obtained from muonic x rays of natural rhenium. The extracted values of the nuclear spectroscopic quadrupole moment are 2.07(5) b and 1.94(5) b, respectively for $^{185}\mathrm{Re}$ and $^{187}\mathrm{Re}$.