Measurement of Quadrupole Deformations from E2 and E2+M1 Transitions

A non-zero electric dipole moment (EDM) indicates new sources of CP violations and offers insights into new physics beyond the Standard Model. We aim to characterize nuclear deformation as atomic EDM and magnetic quadrupole moment (MQM), which are amplified in nuclei with octupole and quadrupole deformations. Using National Nuclear Data Center data, we examine the nuclear level scheme by analyzing the energy levels pertinent to electric quadrupole (E2) transitions from the ground state, ensuring non-degenerate ground state parity doublets. To analyze quadrupole deformation in nuclei with mass numbers from A=150 to 250, we create a Weisskopf plot where transition lifetime is plotted against transition energy. We identify likely deformed nuclei by comparing existing experimental data to Weisskopf estimates. While the Weisskopf plot provides qualitative information on nuclear deformation, we explicitly calculate quadrupole deformation using transition lifetimes, Weisskopf estimates, and Clebsch–Gordan coefficients. Our extractions of quadrupole deformation from E2 transitions align with those of E2 + M1 (magnetic dipole) transitions. We offer insights into the limitations of Weisskopf estimates and single-particle approximations, and we present preliminary results on the experimental determination of quadrupole deformation in specific nuclei.