Abstract
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 multi-dimensional 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.
Highlights
Advances in the radioactive ion beam facility have revealed the exotic structure of short-lived neutron-rich unstable nuclei, which has never been observed in stable nuclei, such as halo structure [1]
The neutron dripline of carbon isotopes is observed to be at 22 C, which is known to be the heaviest two-neutron halo nucleus found so far
We evaluate the nuclear radius of a twoneutron halo nucleus, 22 C, from the total reaction cross sections on 1 H and 12 C targets and discuss the sensitivity of the halo tail to these cross sections
Summary
Advances in the radioactive ion beam facility have revealed the exotic structure of short-lived neutron-rich unstable nuclei, which has never been observed in stable nuclei, such as halo structure [1]. We focus on the theoretical investigation of the nuclear radius of 22 C with the total reaction cross sections Use of such inclusive observables has some advantages: The theory of describing the cross section is well established, the cross sections can be measured for almost all nuclei as long as the beam intensity is sufficient, and the different sensitivity to the nuclear density profile can be controlled by a choice of a target nucleus and an incident energy. Systematic analyses of nuclear matter radii with the total reaction cross sections on 12 C target incident at 200 MeV/nucleon have revealed structure changes and the role of excess neutrons of light neutron-rich unstable nuclei [14,15,16,17,18,19,20,21]. We further confirm the reliability of our calculations in the reactions involving 20 C and 12 C
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