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Description
Recent Monte Carlo Shell Model (MCSM) calculations made by T. Togashi et. al. [Phys. Rev. Lett. 121, 062501 (2018)] attempt to account for discrepancies observed between measurements and previous theoretical calculations of the reduced transition probability B(E2;$2^{+}_{1} \rightarrow 0^{+}_{1}$) in the neutron deficient Sn isotopes. One of the predictions of the MCSM calculation is that a shape change should occur for the $2^{+}_{1}$ state between ${}^{108}$Sn and ${}^{110}$Sn. In this work we present the first experimental results for the quadrupole moment for this state in ${}^{108}$Sn and ${}^{110}$Sn, along with a more precise determination of the reduced transition probability B(E2;$2^{+}_{1} \rightarrow 0^{+}_{1}$) in order to address this question.The measurement results were obtained through a safe Coulomb excitation experiment at HIE-ISOLDE, using the Miniball setup. A novel analysis approach combining GOSIA and GOSIA2 codes with a DSAM measurement was used to calculate both diagonal and transitional matrix elements. Preliminary results are compared to MCSM calculations and observations regarding a shape change in the $2^{+}_{1}$ state are discussed.
