A Method for Measuring the $6S_{1/2} \leftrightarrow 5D_{3/2}$ Magnetic Dipole Transition Moment in {Ba}$^{+}$

摘要

We propose a method for measuring the magnetic dipole (M1) transition momentof the $6S_{1/2} \big(\mathrm{m}=-1/2\big)\leftrightarrow5D_{3/2}\big(\mathrm{m}=-1/2\big)$ transition in single trapped Ba$^{+}$ byexploiting different symmetries in the electric quadrupole (E2) and M1couplings between the states. The technique is adapted from a previouslyproposed method for measuring atomic parity nonconservation in a single trappedion [Norval Fortson, Phys. Rev. Lett. \textbf{70}, 17 (1993)]. Knowledge of M1is crucial for any parity nonconservation measurement in Ba$^{+}$, as lasercoupling through M1 can mimic the parity-violating signal. The magnetic momentfor the transition has been calculated by atomic theory and found to bedominated by electron-electron correlation effects [B.K. Sahoo et. al., Phys.Rev. A \textbf{74}, 6 (2006)]. To date the value has not been verifiedexperimentally. This proposed measurement is therefore an essential step towarda parity nonconservation experiment in the ion that will also test currentmany-body theory. The technique can be adapted for similar paritynonconservation experiments using other atomic ions, where the magnetic dipolemoment could present similar complications.