Erratum: Extended continuum discretized coupled channels method: Core excitation in the breakup of exotic nuclei [Phys. Rev. C<b>74</b>, 014606 (2006)]

Summers, N. C.; Nunes, F. M.; Thompson, I. J.

doi:10.1103/physrevc.89.069901

Cited by 38 publications

(114 citation statements)

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“…Excitations of the target nucleus have been directly or indirectly accounted for in the CDCC [8] approach, adiabatic threebody models [9] and, recently, in the distorted-wave Born approximation model [10]. Important core excitations effects have also been found in Faddeev-type calculations for nuclear reactions [11].…”

Section: Introductionmentioning

confidence: 99%

“…In the NCSM, such SD eigenstates are given by the product of the translationally invariant ones with the 0 Ω HO wave function of the target c.m. In the case of the 7 Li(d,p) 8 Li transfer reaction we have…”

Section: Formalismmentioning

confidence: 99%

“…The index ν = {A t α t I πt t T t ; A p α p I πp p T p ; sℓ} [with A t = A − a, A p = a, and I p(t) , π p(t) , T p(t) , α p(t) , s, and ℓ denoting, respectively, the projectile (target) angular momentum, parity, isospin, and energy quantum numbers, the channel spin and the relative orbital angular momentum] runs over the set of all the possible channels included in the calculation. For the 7 Li(d,p) 8 Li transfer reaction, these include both the d- 7 Li entrance and the p-8 Li exit channels. The auxiliary variable r in Eq.…”

Section: Formalismmentioning

confidence: 99%

“…The more general formalism of the NCSM/RGM and NCSMC approaches is presented in Appendix A, while some useful algebraic expressions for the Hamiltonian kernels in the case of deuteron-induced reactions are collected in Appendix B. We show in Section III the calculated eigenphase shifts, p− 8 Li and d− 8 Li processes. We then discuss some features of the 9 Be energy spectrum above the d+ 7 Li threshold.…”

Section: Introductionmentioning

confidence: 99%

“…As first interesting application, we compute the 7 Li(d,p) 8 Li transfer reaction at energies below the deuteron breakup threshold (see cartoons of Fig. 1).…”

Section: Introductionmentioning

confidence: 99%

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Deuteron-induced nucleon transfer reactions within anab initioframework: First application top-shell nuclei

et al. 2016

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Background: Low-energy transfer reactions in which a proton is stripped from a deuteron projectile and dropped into a target play a crucial role in the formation of nuclei in both primordial and stellar nucleosynthesis, as well as in the study of exotic nuclei using radioactive beam facilities and inverse kinematics. Ab initio approaches have been successfully applied to describe the 3 H(d, n) 4 He and 3 He(d, p) 4 He fusion processes.Purpose: An ab initio treatment of transfer reactions would also be desirable for heavier targets. In this work, we extend the ab initio description of (d, p) reactions to processes with light p-shell nuclei. As a first application, we study the elastic scattering of deuterium on 7 Li and the 7 Li(d,p) 8 Li transfer reaction based on a two-body Hamiltonian. Methods:We use the no-core shell model to compute the wave functions of the nuclei involved in the reaction, and describe the dynamics between targets and projectiles with the help of microscopic-cluster states in the spirit of the resonating group method.Results: The shape of the excitation functions for deuteron impinging on 7 Li are qualitatively reproduced up to the deuteron breakup energy. The interplay between d-7 Li and p-8 Li particle-decay channels determines some features of the 9 Be spectrum above the d+ 7 Li threshold. Our prediction for the parity of the 17.298 MeV resonance is at odds with the experimental assignment.Conclusions: Deuteron stripping reactions with p-shell targets can now be computed ab initio, but calculations are very demanding. A quantitative description of the 7 Li(d,p) 8 Li reaction will require further work to include the effect of three-nucleon forces and additional decay channels, and improve the convergence rate of our calculations.

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Section: Introductionmentioning

confidence: 99%

Section: Formalismmentioning

confidence: 99%

Section: Formalismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…As first interesting application, we compute the 7 Li(d,p) 8 Li transfer reaction at energies below the deuteron breakup threshold (see cartoons of Fig. 1).…”

Section: Introductionmentioning

confidence: 99%

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Deuteron-induced nucleon transfer reactions within anab initioframework: First application top-shell nuclei

et al. 2016

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Introduction to Nuclear-Reaction Theory

Capel

2019

Springer Proceedings in Physics

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These notes summarise the lectures I gave during the summer school "International Scientific Meeting on Nuclear Physics" at La Rábida in Spain in June 2018. They offer an introduction to nuclear-reaction theory, starting with the basics in quantum scattering theory followed by the main models used to describe breakup reactions: the Continuum Discretised Coupled Channel method (CDCC), the Time-Dependent approach (TD) and the eikonal approximation. These models are illustrated on the study of the exotic structure of halo nuclei.

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Breakup Reaction Models for Two- and Three-Cluster Projectiles

Baye

Capel

2012

Clusters in Nuclei, Vol.2

107

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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 Schrödinger 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 Schrödinger 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 threecluster 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. D. Baye Physique Quantique, C.P. 165/82 and Physique Nucléaire Théorique et Physique Mathématique, C.P. 229, Université Libre de Bruxelles,

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Erratum: Extended continuum discretized coupled channels method: Core excitation in the breakup of exotic nuclei [Phys. Rev. C74, 014606 (2006)]

Abstract: Erratum: Extended continuum discretized coupled channels method: Core excitation in the breakup of exotic nuclei [Phys. Rev. C 74, 014606 (2006)]

Cited by 38 publications

References 2 publications

Deuteron-induced nucleon transfer reactions within anab initioframework: First application top-shell nuclei

Deuteron-induced nucleon transfer reactions within anab initioframework: First application top-shell nuclei

Introduction to Nuclear-Reaction Theory

Breakup Reaction Models for Two- and Three-Cluster Projectiles

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