  Through inelastic scattering cross section measurements for $^{42-51}$Ca on a
carbon target at 280 MeV/nucleon recently, Tanaka {\it et al.} [
arXiv:1911.05262 [nucl-ex]], in a very significant experiment, have
demonstrated large swelling of doubly magic $^{48}$Ca core in calcium isotopes
beyond N=28. The matter radii observed in these experiments, are surprisingly
much larger than the corresponding, already amazingly large charge radii of the
same calcium isotopes, by Garcia {\it et al.} [Nat. Phys. 12 (2016) 594]. Here
we propose a novel solution, wherein the breathing mode states $0^{+}$ of
$^{48}$Ca, provide a global and consistent solution of this matter radii
conundrum.
