Precision studies of the properties of nuclei are essential both for
understanding nuclear physics at low energy, and for confronting experiment and
theory in simple atomic systems. Such comparisons advance our understanding of
bound-state quantum electrodynamics and are useful for searching for new
physics beyond the Standard Model. The energy levels of muonic atoms are highly
susceptible to nuclear structure, especially to the RMS charge radius. The
radii of the lightest nuclei (Z=1,2) have been determined with high accuracy
via laser spectroscopy in muonic atoms, while those of medium mass and above,
from X-ray spectroscopy with semiconductor detectors. In this communication we
present a new experiment aiming at precision measurements of the radii of light
nuclei 3≤Z≤10 via single-photon energy measurements with cryogenic
microcalorimeters; a quantum sensing technology capable of high efficiency and
outstanding resolution for low-energy X-rays