Status of reaction theory for studying rare isotopes

Nunes, F. M.; Upadhyay, N. J.

doi:10.1088/1742-6596/403/1/012029

Cited by 13 publications

(14 citation statements)

References 17 publications

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“…is the short-ranged half-shell t-matrix satisfying Eq. (7). For our analysis, and the comparison with coordinatespace calculations, we consider the partial-wave S-matrix elements, which are obtained from the on-shell t-matrix elements by the relation S l (E p0 ) = 1 − 2πiµp 0 p 0 |τ CN l (E p0 )|p 0 .…”

Section: B Est Representation Of the Proton-nucleus T-matrix In The mentioning

confidence: 99%

Separable representation of proton-nucleus optical potentials

et al. 2014

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Recently, a new approach for solving the three-body problem for (d,p) reactions in the Coulombdistorted basis in momentum space was proposed. Important input quantities for such calculations are the scattering matrix elements for proton (neutron) nucleus scattering. We present a generalization of the the Ernst-Shakin-Thaler scheme in which a momentum space separable representation of proton-nucleus scattering matrix elements in the Coulomb basis can be calculated. The success of this method is demonstrated by comparing S-matrix elements and cross sections for proton scattering from 12 C, 48 Ca, and 208 Pb with the corresponding coordinate space calculations.

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Section: B Est Representation Of the Proton-nucleus T-matrix In The mentioning

confidence: 99%

Separable representation of proton-nucleus optical potentials

et al. 2014

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“…The method introduced in [10] treats the Coulomb interaction with a screening and renormalization procedure as detailed in [12,13]. While the current implementation of the Faddeev-AGS equations with screening is computationally effective for light systems, as the charge of the nucleus increases technical difficulties arise in the screening procedure [14]. Indeed, for most of the new exotic nuclei to be produced at the Facility of Rare Isotope Beams, the current method is not adequate.…”

Section: Introductionmentioning

confidence: 99%

Separable Potentials for (d,p) Reaction Calculations

Elster

Hlophe

Eremenko

et al. 2016

J. Phys.: Conf. Ser.

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An important ingredient for applications of nuclear physics to e.g. astrophysics or nuclear energy are the cross sections for reactions of neutrons with rare isotopes. Since direct measurements are often not possible, indirect methods like (d, p) reactions must be used instead. Those (d, p) reactions may be viewed as effective three-body reactions and described with Faddeev techniques. An additional challenge posed by (d, p) reactions involving heavier nuclei is the treatment of the Coulomb force. To avoid numerical complications in dealing with the screening of the Coulomb force, recently a new approach using the Coulomb distorted basis in momentum space was suggested. In order to implement this suggestion, one needs not only to derive a separable representation of neutron-and proton-nucleus optical potentials, but also compute the Coulomb distorted form factors in this basis.

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“…continuum discretized couple channel method (CDCC)) and through an exact treatment of the coupling of transfer and breakup channels, as done in the Faddeev formalism [1][2][3][4]. However, the connection of these advanced methods to data for states that do not fall into the pure singleparticle category is rather obscure.…”

Section: Introductionmentioning

confidence: 99%

Theoretical and Experimental Perspectives of Nuclear Reaction Studies with Radioactive Ion Beams

Cizewski¹,

Nunes²

2015

Acta Phys. Pol. B

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Nuclear reactions are one of the most powerful probes to study the properties of nuclei, in particular nuclei at the limits of stability. Reactions also play an important role in astrophysics and other applications. In order to extract useful information from reaction measurements, experiment goes hand-in-hand with reaction theory. While the last five decades have provided very good qualitative understanding of the processes, the challenge in the field of reaction theory is to have a grasp on the systematic uncertainties, such that predictions can be truly quantitative. Here, we provide some examples of ongoing efforts aimed at advancing the theory for (d, p) reactions and reducing the associated uncertainties. We present the status of using the 86 Kr(d, p) reaction and the combined method to control the uncertainties introduced by the overlap function. We also discuss the ambiguities of using only data to constrain the optical potential and will show recent results on the role of non-locality in transfer reactions.

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Status of reaction theory for studying rare isotopes

Cited by 13 publications

References 17 publications

Separable representation of proton-nucleus optical potentials

Separable representation of proton-nucleus optical potentials

Separable Potentials for (d,p) Reaction Calculations

Theoretical and Experimental Perspectives of Nuclear Reaction Studies with Radioactive Ion Beams

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