Examination of the ${}^{22}$C radius determination with interaction cross sections

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.

11 pages, 9 figures, to appear in Phys. Rev. C

References in corpus (6)

• Direct mass measurements of 19B, 22C, 29F, 31Ne, 34Na and other light exotic nuclei
• ${}^{22}$C: $S$-Wave Two-Neutron Halo
• Elastic and total reaction cross sections of oxygen isotopes in Glauber theory
• Role of deformation in odd-even staggering in reaction cross sections for ${}^{30,31,32}$Ne and ${}^{36,37,38}$Mg isotopes
• Mean-field analysis of ground state and low-lying electric dipole strength in ${}^{22}$C
• Low-lying electric-dipole strengths of Ca, Ni, and Sn isotopes imprinted on total reaction cross sections

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