Recent Development of CDCC

The construction of microscopic reaction theory is one of the most important subjects in nuclear physics. It is a goal of the nuclear reaction theory. Furthermore, the construction is essential for many applications. Particularly for the scattering of unstable nuclei, there is no reliable phenomenological optical potential, since measurements of the elastic scattering are not easy. An important theoretical tool of analyzing inclusive reactions is the Glauber model.1) The theoretical foundation of the model is shown in Ref. 2). The model is based on the eikonal and the adiabatic approximation. It is well known that the adiabatic approximation makes the removal cross section diverge when the Coulomb interaction is included. The Glauber model has thus been applied mainly for lighter targets in which the Coulomb interaction is negligible; see for example Refs. 3)–9) and Refs. 10), 11) for Coulomb corrections to the Glauber model. Meanwhile, the method of continuum discretized coupled channels (CDCC)12),13) is an accurate method of treating exclusive reactions such as the elastic scattering and the elastic breakup reaction in which the target is not excited. The theoretical foundation of CDCC is shown in Refs. 14)–16). Actually, CDCC has succeeded in reproducing data on the scattering of not only stable nuclei but also unstable nuclei; see for example Refs. 17)–28) and references therein. The dynamical eikonal approximation29) is also an accurate method of treating exclusive reactions at intermediate and high incident energies where the eikonal approximation is reliable. The nucleon removal reaction is composed of the exclusive elastic-breakup component and the inclusive nucleon-stripping component. CDCC and the dynamical eikonal approximation can evaluate the elastic-breakup cross section, but not the stripping cross section. The experimental exploration of halo nuclei is moving from lighter nuclei such as He and C isotopes to relatively heavier nuclei such as Ne isotopes. Very recently, Takechi et al. measured the interaction cross section σI for the scattering of 28−32Ne at 240 MeV/nucleon and found that σI is quite large particularly for 31Ne.30) A halo structure of 31Ne was reported with the experiment on the one-neutron removal reaction.31) This is the heaviest halo nucleus in the present stage suggested experi-