Measurement of the quadrupole moment of $^{185}\mathrm{Re}$ and $^{187}\mathrm{Re}$ from the hyperfine structure of muonic X rays

The hyperfine splitting of the 5g→4f transitions in muonic 185,187Re 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 185Re and 187Re.