Nuclear spin-independent and dependent parity non-conservation in $^{171}$Yb$^+$ using perturbed relativistic coupled-cluster theory

Abstract: We present nuclear spin-independent and dependent parity non-conservation amplitudes for the $[4f^{14}]6s\;^2S_{1/2}-[4f^{14}]5d\;^2D_{3/2}$ transition of $^{171}$Yb$^+$, calculated using perturbed relativistic coupled-cluster theory. As a proxy to estimate theoretical uncertainty of these results we calculate the excitation energies, hyperfine structure constants and E1 transition amplitudes for the important low lying states. The PNC results presented in paper shall be useful in the propose PNC experiments.