Adiabatic approximation versus exact Faddeev method for (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mo>,</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:math>) and (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>d</mml:mi></mml:mrow></mml:math>) reactions

Nunes, F. M.; Deltuva, A.

doi:10.1103/physrevc.84.034607

Cited by 59 publications

(104 citation statements)

References 38 publications

(61 reference statements)

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“…There is an understanding that DWBA does not provide an accurate description of this reaction (e.g., [38]) and that an effective deuteron optical potential that does not explicitly account for np breakup is unreliable [2]. The strong variation of the minimum found between the uncorrelated and correlated cases can be a symptom of the reaction model simplification.…”

Section: Discussionmentioning

confidence: 99%

“…However, these investigations typically rely on the comparison of two models or parameterizations. Concerning (a), for example, methods such as the adiabatic approximation or continuum-discretized coupled channels method have been benchmarked against the Faddeev method [2][3][4]. To address (b), the uncertainty from the effective interactions used, the standard procedure is to use two different parameterizations of the optical model within the same reaction theory framework, with the percent errors coming from the difference between the results obtained with these two parameterizations.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Uncertainty quantification for optical model parameters

et al. 2017

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“…The work of Lotay et al [9,10] identified [23]. This three-body method incorporates deuteron breakup and has been proven to provide a good description of the transfer process when compared to exact solutions of the three-body problem [24]. For the nucleontarget optical potentials we use CH89 [25] and for the NN interaction ref.…”

Section: Resultsmentioning

confidence: 99%

Angle-integrated measurements of the 26Al (d, n)27Si reaction cross section: a probe of spectroscopic factors and astrophysical resonance strengths

et al. 2016

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Abstract. Measurements of angle-integrated cross sections to discrete states in27 Si have been performed studying the 26 Al(d, n) reaction in inverse kinematics by tagging states by their characteristic γ-decays using the GRETINA array. Transfer reaction theory has been applied to derive spectroscopic factors for strong single-particle states below the proton threshold, and astrophysical resonances in the 26 Al(p, γ) 27 Si reaction. Comparisons are made between predictions of the shell model and known characteristics of the resonances. Overall very good agreement is obtained, indicating this method can be used to make estimates of resonance strengths for key reactions currently largely unconstrained by experiment.

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“…Over the last decade, much work has gone into establishing the methods used to solve the three-body scattering problem. Examples are the benchmarks of the adiabatic wave approximation method and the continuum discretized coupled-channel method against the exact Faddeev approach for transfer reactions [4,5]. In those studies, the system was treated as n + p + A, and no excitation was allowed for A.…”

Section: Core Excitation In (Dp) Reactionsmentioning

confidence: 99%

“…In Fig.2 the symbols show the results obtained for the three-body binding energy of 6 Li for a variety of NN interactions commonly used in our field, as a function of their prediction for the probability of the deuteron d-state. Note that only the NN interaction is varied, the 4 He-N system is kept fixed with the parameters described in Ref. [10].…”

Section: Toward a Faddeev Theory For (Dp) On Heavy Nucleimentioning

confidence: 99%

New developments in reaction theory: preparing for the FRIB era

et al. 2018

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Abstract. This is a brief report on the progress made towards an exact theory for (d,p) on heavy nuclei, which is important to determine neutron capture rates for r-process nuclei. We first discuss the role of core excitation in the framework of Faddeev equations. Following that, we provide the status of the Faddeev theory being developed in the Coulomb basis with separable interactions. We then present some recent developments on nonlocal nucleon optical potentials. Finally, the progress on the theory transfer to the continuum is summarized.

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Adiabatic approximation versus exact Faddeev method for (d,p) and (p,d) reactions

Cited by 59 publications

References 38 publications

Uncertainty quantification for optical model parameters

Uncertainty quantification for optical model parameters

Angle-integrated measurements of the 26Al (d, n)27Si reaction cross section: a probe of spectroscopic factors and astrophysical resonance strengths

New developments in reaction theory: preparing for the FRIB era

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