Intermediate energy four-body breakup calculations for 22C

Abstract

The heaviest particle-bound carbon isotope, ${}^{22}$C, is thought to have a Borromean three-body structure. We discuss and compare four-body, i.e. three-body projectile plus target, reaction model calculations of reaction cross sections for such systems that use the fast adiabatic approximation. These methods are efficient and well-suited for quantitative analyses of reactions of neutron-rich nuclei with light target nuclei at secondary beam energies of $\approx$300 MeV/nucleon, as are now becoming available. We compare the predictions of the adiabatic model of the reaction both without and when including the additional eikonal approximation that has been used extensively. We show that the reaction cross section calculations have only limited sensitivity to the size and structure of ${}^{22}$C and that the differences arising from use of the eikonal approximation of the reaction mechanism are of a similar magnitude.

8 pages, 2 figures

References in corpus (4)

• Direct mass measurements of 19B, 22C, 29F, 31Ne, 34Na and other light exotic nuclei
• Four-body continuum-discretized coupled-channels calculations using a transformed harmonic oscillator basis
• ${}^{22}$C: $S$-Wave Two-Neutron Halo
• Four-body continuum-discretized coupled-channels calculations

Cited by in corpus (8)

• Evolution of shell structure in exotic nuclei
• Shrunk halo and quenched shell gap at $N=16$ in ${}^{22}$C: Inversion of $sd$ states and deformation effects
• Study of ground state properties of carbon isotopes with deformed relativistic Hartree-Bogoliubov theory in continuum
• Examination of the ${}^{22}$C radius determination with interaction cross sections
• Single-neutron knockout from ${}^{20}\text{C}$ and the structure of ${}^{19}\text{C}$
• Coulomb breakup of 22C in a four-body model
• Two-neutron correlations in a Borromean ${}^{20}\mathrm{C}+n+n$ system: Sensitivity of unbound subsystems
• Deformation, halo, and bubble structure: A paradigm shift of exotic phenomena in light to medium mass nuclei