Parity-nonconserving interaction-induced light shifts in the $$f{7S}_{1/2}$$ 7 S 1 / 2 –$$f{6D}_{3/2}$$ 6 D 3 / 2

We present an experimental technique to measure light shifts due to the nuclear spin independent (NSI) parity-nonconserving (PNC) interaction in the 7S(1/2)-6D(3/2) transition in ultracold Fr-210 atoms. The approach we propose is similar to the one by Fortson (Phys Rev Lett 70: 2383, 10) to measure the PNC-induced light shift which arises from the interference of parity nonconserving electric dipole transition and electric quadrupole transition amplitudes. Its major advantage is that it can treat more than 10(4) ultracold Fr-210 atoms to enhance the shot noise limit. A relativistic coupled-cluster method has been employed to calculate the electric dipole transition amplitudes arising from the PNC interaction. Based on these calculations, we have evaluated the PNC-induced light shifts for transitions between the hyperfine levels of the 7S(1/2) and 6D(3/2) states and suitable transitions are identified for carrying out PNC measurements. It is possible in principle to probe new physics beyond the standard model with our proposed experimental scheme.