A nuclear radius of 22 C is investigated with the total reaction cross sections at medium-to high-incident energies in order to resolve the radius puzzle in which two recent interaction cross-section measurements using 1 H and 12 C targets show the quite different radii. The cross sections of 22 C are calculated consistently for these target nuclei within a reliable microscopic framework, the Glauber theory. To describe appropriately such a reaction involving a spatially extended nucleus, the multiple scattering processes within the Glauber theory are fully taken into account, that is, the multidimensional integration in the Glauber amplitude is evaluated using a Monte Carlo technique without recourse to the optical-limit approximation. We discuss the sensitivity of the spatially extended halo tail to the total reaction cross sections. The root-mean-square matter radius obtained in this study is consistent with that extracted from the recent cross-section measurement on 12 C target. We show that the simultaneous reproduction of the two recent measured cross sections is not feasible within this framework.

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