Relativistic mean field calculation of parity-violating observables in francium

Abstract

A formalism developed previously to study the smaller nuclear spin-dependent parity-violating effects using the relativistic mean field theory has been generalized to the case of odd-odd nuclear systems such as Fr-210. Because of the recent success in trapping Fr atoms, parity-violation experiments for Fr seem feasible. The nuclear spin-dependent parameters eta and eta' are calculated using the anapole moment parameters kappa(p) and kappa(n). They are used to calculate the hyperfine transition amplitudes for the 6S-->7S transition in Cs-134 and 7S -->8S in Fr-210. The calculated hyperfine transition amplitudes in Fr are one order of magnitude larger than those in Cs.