Analysis of a low-energy correction to the eikonal approximation

Fukui, Tokuro; Ogata, Kazuyuki; Capel, Pierre

doi:10.1103/physrevc.90.034617

Cited by 23 publications

(42 citation statements)

References 29 publications

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“…The prescription to calculate the profile function in this case consists in a replacement of the straight-line trajectory impact parameter (b) by the distance of the closest approach (b c ) in the Coulomb field, or by the respective distance (r cn ) in the presence of nuclear field (ReOP). Recently, the eikonal description of the breakup of exotic nuclei has been developed at low energies by including the Coulomb deflection of the projectile off the target [68,69]. In principle, this correction is based on the same replacement of the impact parameter b by b c mentioned above and the results obtained in Ref.…”

Section: Results Of Calculations Of Breakup Reactionsmentioning

confidence: 99%

Probing the exotic structure of 8B by its elastic scattering and breakup reaction on nuclear targets

et al. 2017

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Abstract. The structure of the exotic 8 B nucleus is studied by means of elastic scattering, as well as its breakup on nuclear targets. We present microscopic calculations of the optical potentials (OPs) and cross sections of elastic scattering of 8 B on 12 C, 58 Ni, and 208 Pb targets at energies 20 < E < 170 MeV. The density distributions of 8 B obtained within the variational Monte Carlo (VMC) model and the three-cluster model (3CM) are used to construct the potentials. The real part of the hybrid OP is calculated using the folding model with the direct and exchange terms included, while the imaginary part is obtained on the base of the high-energy approximation (HEA) and also taken to be equal to the microscopic real part of the OP. In this model the only free parameters are the depths of the real and imaginary parts of OP obtained by fitting the elastic scattering experimental data. It is found a dependence of their values on the model density of 8 B. In addition, cluster model, in which 8

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Section: Results Of Calculations Of Breakup Reactionsmentioning

confidence: 99%

Probing the exotic structure of 8B by its elastic scattering and breakup reaction on nuclear targets

et al. 2017

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“…This correction applied to the sole Coulomb interaction has already given interesting results for Coulombdominated reactions in Refs. [23,31]. In this case, the distance of closest approach b ′ C can be derived analytically [15,23] …”

Section: Semiclassical Correctionmentioning

confidence: 99%

“…However, since it provides excellent results at intermediate energies [17][18][19][20][21], it would be interesting to extend its domain of validity to lower energies. A first step has been made in that direction when a Coulomb correction [15,22] has been proved to successfully correct the eikonal treatment of the projectile-target Coulomb interaction at low energy [23]. In the present study, we analyze several existing corrections to the eikonal approximation to extend its domain of validity down to low energies for nucleardominated reactions.…”

Section: Introductionmentioning

confidence: 99%

Analysis of corrections to the eikonal approximation

Hebborn

Capel

2017

Phys. Rev. C

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Various corrections to the eikonal approximations are studied for two-and three-body nuclear collisions with the goal to extend the range of validity of this approximation to beam energies of 10 MeV/nucleon. Wallace's correction does not improve much the elastic-scattering cross sections obtained at the usual eikonal approximation. On the contrary, a semiclassical approximation that substitutes the impact parameter by a complex distance of closest approach computed with the projectile-target optical potential efficiently corrects the eikonal approximation. This opens the possibility to analyze data measured down to 10 MeV/nucleon within eikonal-like reaction models.

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“…The spinorbit potential is also parameterized by the derivative of a Woods-Saxon shape; however, to limit the number of free parameters for this introductory work, we keep all the spin-orbit parameters fixed at the original values from the parameterizations referenced in Table I. The Coulomb potential is included in the usual way (e.g., [19]) and is parameterized by a single Coulomb radius, which is also kept fixed throughout this work.…”

Section: Optical Modelmentioning

confidence: 99%

Uncertainty quantification for optical model parameters

et al. 2017

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Background: Although uncertainty quantification has been making its way into nuclear theory, these methods have yet to be explored in the context of reaction theory. For example, it is well known that different parameterizations of the optical potential can result in different cross sections, but these differences have not been systematically studied and quantified.Purpose: The purpose of this work is to investigate the uncertainties in nuclear reactions that result from fitting a given model to elastic-scattering data, as well as to study how these uncertainties propagate to the inelastic and transfer channels.Method: We use statistical methods to determine a best fit and create corresponding 95% confidence bands. A simple model of the process is fit to elastic-scattering data and used to predict either inelastic or transfer cross sections. In this initial work, we assume that our model is correct, and the only uncertainties come from the variation of the fit parameters.Results: We study a number of reactions involving neutron and deuteron projectiles with energies in the range of 5-25 MeV/u, on targets with mass A=12-208. We investigate the correlations between the parameters in the fit. The case of deuterons on 12 C is discussed in detail: the elastic-scattering fit and the prediction of 12 C(d,p) 13 C transfer angular distributions, using both uncorrelated and correlated χ 2 minimization functions. The general features for all cases are compiled in a systematic manner to identify trends.Conclusions: Our work shows that, in many cases, the correlated χ 2 functions (in comparison to the uncorrelated χ 2 functions) provide a more natural parameterization of the process. These correlated functions do, however, produce broader confidence bands. Further optimization may require improvement in the models themselves and/or more information included in the fit.

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Analysis of a low-energy correction to the eikonal approximation

Cited by 23 publications

References 29 publications

Probing the exotic structure of 8B by its elastic scattering and breakup reaction on nuclear targets

Probing the exotic structure of 8B by its elastic scattering and breakup reaction on nuclear targets

Analysis of corrections to the eikonal approximation

Uncertainty quantification for optical model parameters

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