Abstract
The current status of the reaction theory of nuclear collisions involving weakly-bound exotic nuclei is presented. The problem is addressed within the Continuum Discretized Coupled Channel (CDCC) framework, recalling its foundations and applications, as well as its connection with the Faddeev formalism. Recent developments and improvements of the method, such as core and target excitations and the extension to three-body projectiles, are presented. The use of the CDCC wave function in the calculation of inclusive breakup reactions is also introduced.
Highlights
Ongoing and planned radioactive beam facilities will produce in near future accurate reaction data covering unexplored areas of the nuclear chart
In the Continuum Discretized Coupled Channel (CDCC) method the three-body wave function of the system is expanded in terms of the eigenstates of the Hamiltonian Hproj including both bound and unbound states
The standard CDCC method relies on a strict three-body model of the reaction (c + v + A), and has proven to be rather successful to describe elastic and exclusive breakup cross sections of deuterons and other weakly bound two-body nuclei [2]
Summary
Ongoing and planned radioactive beam facilities will produce in near future accurate reaction data covering unexplored areas of the nuclear chart. The problem could be solved from a many-body viewpoint, starting with some effective nucleon-nucleon interaction, in practice one needs to resort to additional approximations, aimed at making the problem numerically tractable These approximate models try NN2015 to emphasize specific degrees of freedom, those which are expected to dominate the reaction dynamics, or those in which one is interested, and recast the problem in terms of an effective Hamiltonian in which these selected degrees of freedom appear explicitly. The functions χβ (R) describe the projectile-target relative motion and are obtained by inserting the expansion (2) into the Schrödinger equation, [H − E]ΨCC = 0 This gives rise to a set of coupled differential equations which, solved with the proper boundary conditions, produce the scattering observables. Rawitscher [3] and later refined by the Pittsburgh-Kyushu collaboration [2, 4]
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