Relativistic Coupled-Cluster Theory of Atomic Parity Nonconservation: Application to ${}^{137}\mathrm{Ba}^{+}$

We report the result of our ab initio calculation of the $6s^2{S}_{1/2}\to 5d^2{D}_{3/2}$ parity nonconserving electric dipole transition amplitude in ${}^{137}\mathrm{Ba}^{+}$ based on relativistic coupled-cluster theory. Considering single, double, and partial triple excitations, we have achieved an accuracy of less than 1%. If the accuracy of our calculation can be matched by the proposed parity nonconservation experiment in ${\mathrm{Ba}}^{+}$ for the above transition, then the combination of the two results would provide an independent nonaccelerator test of the standard model of particle physics.

Figure 1

Important Goldstone diagrams corresponding PNC amplitudes.