Analysis of corrections to the eikonal approximation

Hebborn, Chloë; Capel, Pierre

doi:10.1103/physrevc.96.054607

Cited by 16 publications

(21 citation statements)

References 35 publications

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“…The excellent results obtained within this framework confirms the interest of coupling a halo-EFT description of the nucleus to existing precise models of reactions [26]. They also drive us to extend this idea to other reactions, such as knockout [47]. Hopefully, the model developed herein and in Ref.…”

Section: Discussionsupporting

confidence: 68%

“…Our value is within the uncertainty band of the ANC extracted from knockout measurements in Ref. [36], which is not surprising because that reaction is mostly peripheral [47]. Compared to the value extracted from the width of the 1 2 + ground state of the proton-unbound mirror nucleus 15 F, our C 1/2 + seems too low.…”

Section: B Extraction Of the Anc Of The 15 C Bound States From The Asupporting

confidence: 45%

“…This result is not surprising in a reaction that is strongly dominated by an E1 transition from the s bound state towards the p continuum. The existence of a d state in the low-energy spectrum of the projectile is more clearly seen in nuclear-dominated reactions, where quadrupole transitions are more significant [26,47]. Therefore, for this Coulombdominated reaction, a halo-EFT expansion limited to NLO is sufficient: the d bound state would actually appear only at the next order (i.e., next-to-next-to-leading order, N 2 LO), and it has nearly no influence in our breakup calculations.…”

Section: A Breakup Of 15 C On Lead At 605 Mev/nucleonmentioning

confidence: 99%

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C15 : From halo effective field theory structure to the study of transfer, breakup, and radiative-capture reactions

2019

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Background: Aside from being a one-neutron halo nucleus, 15 C is interesting because it is involved in reactions of relevance for several nucleosynthesis scenarios. Purpose: The aim of this work is to analyze various reactions involving 15 C, using a single structure model based on halo effective field theory (halo EFT) following the excellent results obtained in [P. Capel et al., Phys. Rev. C 98, 034610 (2018)]. Method: To develop a halo-EFT model of 15 C at next to leading order (NLO), we first extract the asymptotic normalization coefficient (ANC) of its ground state by analyzing 14 C(d, p) 15 C transfer data at low energy using the method developed in [J. Yang and P. Capel, Phys. Rev. C 98, 054602 (2018)]. Using the halo-EFT description of 15 C constrained with this ANC, we study the 15 C Coulomb breakup at high (605 MeV/nucleon) and intermediate (68 MeV/nucleon) energies using eikonal-based models with a consistent treatment of nuclear and Coulomb interactions at all orders, and which take into account proper relativistic corrections. Finally, we study the 14 C(n, γ) 15 C radiative capture. Results: Our theoretical cross sections are in good agreement with experimental data for all reactions, thereby assessing the robustness of the halo-EFT model of this nucleus. Since a simple NLO description is enough to reproduce all data, the only nuclear-structure observables that matter are the 15 C binding energy and its ANC, showing that all the reactions considered are purely peripheral. In particular, it confirms the value we have obtained for the ANC of the 15 C ground state: C 2 1/2 + = 1.59 ± 0.06 fm −1. Our model of 15 C provides also a new estimate of the radiative-capture cross section at astrophysical energy: σ n,γ (23.3 keV) = 4.66 ± 0.14 μb. Conclusions: Including a halo-EFT description of 15 C within precise models of reactions is confirmed to be an excellent way to relate the reaction cross sections and the structure of the nucleus. Its systematic expansion enables us to establish how the reaction process is affected by that structure and deduce which nuclear-structure observables are actually probed in the collision. From this, we can infer valuable information on both the structure of 15 C and its synthesis through the 14 C(n, γ) 15 C radiative capture at astrophysical energies.

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Section: Discussionsupporting

confidence: 68%

Section: B Extraction Of the Anc Of The 15 C Bound States From The Asupporting

confidence: 45%

Section: A Breakup Of 15 C On Lead At 605 Mev/nucleonmentioning

confidence: 99%

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C15 : From halo effective field theory structure to the study of transfer, breakup, and radiative-capture reactions

2019

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“…[42]. This description of 11 Be leads to excellent descriptions of breakup [42,48], transfer [49], and knockout [50,51] reactions.…”

Section: A Two-body Interactionsmentioning

confidence: 99%

Detailed study of the eikonal reaction theory for the breakup of one-neutron halo nuclei

Hebborn

Capel

2021

Phys. Rev. C

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Background: One-neutron removal reactions are used to study the single-particle structure of unstable nuclei, and in particular the exotic halo nuclei. The eikonal reaction theory (ERT) has been developed by Yahiro, Ogata, and Minomo [Prog. Theor. Phys. 126, 167 (2011)] to include dynamical effects, which are missing in the usual eikonal description of these reactions. Encouraging results have been obtained for total breakup cross sections in comparison to more elaborate reaction models. Purpose: We extend these comparisons to more differential breakup cross sections expressed as functions of the relative energy or parallel momentum between the core and halo neutron. Method: ERT predictions of these cross sections are compared to state-of-the-art calculations. Results: The hypotheses upon which the ERT is based are confirmed and their range of validity is made clearer. The actual ordering of the evolution operators affects ERT differential cross sections and a specific choice leads to excellent agreement with the reference calculation. Dynamical effects in the treatment of the neutron-target interaction can be significant in the parallel-momentum observable. Conclusions: The role of the different interactions in the dynamics of breakup reactions of one-neutron halo nuclei are better understood and improvements to the ERT are suggested.

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“…We have shown in Ref. [24] that it also provides very precise results for the elastic scattering of one-neutron halo nuclei down to 10 MeV/nucleon. In the present work, we investigate its efficiency to describe breakup observables on light targets with the hope to obtain in such a way a unified correction of the eikonal approximation for all types of targets.…”

Section: Introductionmentioning

confidence: 96%

Low-energy corrections to the eikonal description of elastic scattering and breakup of one-neutron halo nuclei in nuclear-dominated reactions

Hebborn

Capel

2018

Phys. Rev. C

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Background The eikonal approximation is a high-energy reaction model which is very computationally efficient and provides a simple interpretation of the collision. Unfortunately, it is not valid at energies around 10 MeV/nucleon, the range of energy of HIE-ISOLDE at CERN and the future ReA12 at MSU. Fukui et al. [Phys. Rev. C 90, 034617 (2014)] have shown that a simple semiclassical correction of the projectile-target deflection could improve the description of breakup of halo nuclei on heavy targets down to 20 MeV/nucleon. PurposeWe study two similar corrections, which aim at improving the projectile-target relative motion within the eikonal approximation, with the goal to extend its range of validity down to 10 MeV/nucleon in nuclear-dominated collisions, viz. on light targets. The semiclassical correction substitutes the impact parameter by the distance of closest approach of the corresponding classical trajectory. The exact continued S-matrix correction replaces the eikonal phase by the exact phase shift. Both corrections successfully describe the elastic scattering of one-neutron halo nuclei. MethodWe extend these corrections and study their efficiency in describing the breakup channel. We evaluate them in the case of 11 Be impinging on 12 C at 20 and 10 MeV/nucleon.Results Albeit efficient to reproduce the elastic channel, these corrections do not improve the description of the breakup of halo nuclei within the eikonal approximation down to 20 MeV/nucleon. ConclusionsOur analysis of these corrections shows that improving the projectile-target relative motion is not the ultimate answer to extend the eikonal approximation down to low energies. We suggest another avenue to reach this goal.

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Analysis of corrections to the eikonal approximation

Cited by 16 publications

References 35 publications

C15 : From halo effective field theory structure to the study of transfer, breakup, and radiative-capture reactions

C15 : From halo effective field theory structure to the study of transfer, breakup, and radiative-capture reactions

Detailed study of the eikonal reaction theory for the breakup of one-neutron halo nuclei

Low-energy corrections to the eikonal description of elastic scattering and breakup of one-neutron halo nuclei in nuclear-dominated reactions

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