Relativistic mean field calculation of parity-violating observables in francium

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 ²¹⁰Fr. Because of the recent success in trapping Fr atoms, parity-violation experiments for Fr seem feasible. The nuclear spin-dependent parameters η and η′ are calculated using the anapole moment parameters κ_p, and κ_n. They are used to calculate the hyperfine transition amplitudes for the 65→75 transition in ¹³⁴Cs and 75 →8S in ²¹⁰Fr. The calculated hyperfine transition amplitudes in Fr are one order of magnitude larger than those in Cs.