We discuss the possible search for optical transitions in Sm${}^{13+}$ and Sm${}^{14+}$ using ab initio calculations of differential dynamic polarizability. We calculate dynamic polarizability for $M1$ transition between first and second excited states of Sm${}^{14+}$. Transition amplitudes and energies within the optical range for states that contribute to the polarizability of the mentioned transition are presented. Employing simple analytical formula for polarizability data in the vicinity of a resonance and assuming that several values of the polarizability for different laser frequencies will be measured one can find the accurate position of the resonance. Results of similar calculations of amplitudes and energies of states that contribute to the polarizability of the $M1$ transition between ground and first excited states of Sm${}^{13+}$ are also presented.

• Received 10 September 2013

DOI:https://doi.org/10.1103/PhysRevA.88.062509