Measurements of the $g$-factors of the 2$^+_1$ states in $^{82}$Sr (25.3 d) and $^{90}Sr$ (28.8 y)

Magnetic moments and lifetimes of the 2$^+_1$ states in $^{84-88}$Sr isotopes were measured via the transient field technique and Coulomb excitation in inverse kinematics. The pending experiment will use $^{78,86}$Kr beams from the TAMU Cyclotron to induce ${\alpha}$-capture reactions on a $^{12}$C target and produce the unstable isotopes of interest, $^{82,90}$Sr. A new beam line, consisting of a target chamber, target cooling device, and external magnetic field, is being assembled at Rutgers. The $^{12}$C target was evaporated on a substrate of gadolinium backed by a copper foil. A PIPS Si detector will detect ${\alpha}$-particles exiting the target after the $^8$Be breakup, and ${\gamma}$-rays will be detected by four Ge clover detectors. A digital data acquisition system will record ${\alpha}$-${\gamma}$ coincidences. The angular correlation of the emitted ${\gamma}$-rays with respect to the beam direction will be determined from appropriate combinations of ${\gamma}$-ray intensities observed in various elements of the clover detectors. The measurement of the precession angles of the 2$^+_1$ magnetic moments yield the experimental $g$-factors. The results will be compared to shell model calculations based on $^{88}$Sr as a core nucleus.