Breakup reaction models for two- and three-cluster projectiles

Abstract

Breakup reactions are one of the main tools for the study of exotic nuclei, and in particular of their continuum. In order to get valuable information from measurements, a precise reaction model coupled to a fair description of the projectile is needed. We assume that the projectile initially possesses a cluster structure, which is revealed by the dissociation process. This structure is described by a few-body Hamiltonian involving effective forces between the clusters. Within this assumption, we review various reaction models. In semiclassical models, the projectile-target relative motion is described by a classical trajectory and the reaction properties are deduced by solving a time-dependent Schroedinger equation. We then describe the principle and variants of the eikonal approximation: the dynamical eikonal approximation, the standard eikonal approximation, and a corrected version avoiding Coulomb divergence. Finally, we present the continuum-discretized coupled-channel method (CDCC), in which the Schroedinger equation is solved with the projectile continuum approximated by square-integrable states. These models are first illustrated by applications to two-cluster projectiles for studies of nuclei far from stability and of reactions useful in astrophysics. Recent extensions to three-cluster projectiles, like two-neutron halo nuclei, are then presented and discussed. We end this review with some views of the future in breakup-reaction theory.

Will constitute a chapter of "Clusters in Nuclei - Vol.2." to be published as a volume of "Lecture Notes in Physics" (Springer)

References in corpus (33)

• The R-matrix theory
• Coulomb and nuclear breakup of a halo nucleus 11Be
• Momentum-space treatment of Coulomb interaction in three-nucleon reactions with two protons
• Reaction cross sections of carbon isotopes incident on a proton
• Continuum-discretized coupled-channels method for four-body nuclear breakup in ${}^6$He+${}^{12}$C scattering
• Coulomb breakup effects on the elastic cross section of ${}^6$He+${}^{209}$Bi scattering near Coulomb barrier energies
• Four-body continuum-discretized coupled-channels calculations using a transformed harmonic oscillator basis
• Probing the weakly-bound neutron orbit of ${}^{31}$Ne with total reaction and one-neutron removal cross sections
• Three-body description of direct nuclear reactions: Comparison with the continuum discretized coupled channels method
• Four-body continuum-discretized coupled-channels calculations
• Three-body continuum states on a Lagrange mesh
• Electromagnetic strength of neutron and proton single-particle halo nuclei
• A non-perturbative approach to halo breakup
• The 14C(n,g) cross section between 10 keV and 1 MeV
• Low-energy cross section of the 7Be(p,g)8B solar fusion reaction from Coulomb dissociation of 8B
• Relativistic continuum-continuum coupling in the dissociation of halo nuclei
• Electromagnetic dissociation of 8B and the astrophysical S factor for 7Be(p,gamma)8B
• Coulomb corrected eikonal description of the breakup of halo nuclei
• New description of four-body breakup reaction
• Dipole excitation and geometry of borromean nuclei
• Determination of S17 from 8B breakup by means of the method of continuum-discretized coupled-channels
• Analysis of Coulomb breakup experiments of 8B with a dynamical eikonal approximation
• Core Transitions in the Breakup of Exotic Nuclei
• Influence of the projectile description on breakup calculations
• Peripherality of breakup reactions
• A New Glauber Theory based on Multiple Scattering Theory
• All orders breakup of heavy exotic nuclei in a semiclassical model
• Dissociation of Relativistic Projectiles with the Continuum-Discretized Coupled-Channels Method
• Continuum discretization methods in a composite-particle scattering off a nucleus: the benchmark calculations
• Green's function method for strength function in three-body continuum
• Description of Four-Body Breakup Reaction with the Method of Continuum-Discretized Coupled-Channels
• Sensitivity of 8B breakup cross section to projectile structure in CDCC calculations
• Coulomb excitation at intermediate energies

Cited by in corpus (9)

• Microscopic analysis of ${}^{10,11}$Be elastic scattering on protons and nuclei and breakup processes of ${}^{11}$Be within the ${}^{10}$Be+$n$ cluster model
• Simulating core excitation in breakup reactions of halo nuclei using an effective three-body force
• Perspectives on few-body cluster structures in exotic nuclei
• Combining Halo-EFT descriptions of nuclei and precise models of nuclear reactions
• Extension of the ratio method to proton-rich nuclei
• Open issues in extracting nuclear structure information from the breakup of exotic nuclei
• Recent developments in the eikonal description of the breakup of exotic nuclei
• Near-Far Description of Elastic and Breakup Reactions of Halo Nuclei
• Study of clustering structures through breakup reactions