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Promising searches for new physics beyond the current Standard Model (SM) ofparticle physics are feasible through isotope-shift spectroscopy, which issensitive to a hypothetical fifth force between the neutrons of the nucleus andthe electrons of the shell. Such an interaction would be mediated by a newparticle which could in principle be associated with dark matter. In so-calledKing plots, the mass-scaled frequency shifts of two optical transitions areplotted against each other for a series of isotopes. Subtle deviations from theexpected linearity could reveal such a fifth force. Here, we studyexperimentally and theoretically six transitions in highly charged ions of Ca,an element with five stable isotopes of zero nuclear spin. Some of thetransitions are suitable for upcoming high-precision coherent laserspectroscopy and optical clocks. Our results provide a sufficient number ofclock transitions for -- in combination with those of singly charged Ca$^+$ --application of the generalized King plot method. This will allow futurehigh-precision measurements to remove higher-order SM-related nonlinearitiesand open a new door to yet more sensitive searches for unknown forces andparticles.

Sensitivity to New Physics of Isotope Shift Studies using the Coronal Lines of Highly Charged Calcium Ions