Faddeev and Glauber calculations at intermediate energies in a model for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mi>d</mml:mi></mml:mrow></mml:math>scattering

Elster, Ch.; Lin, Ting; Glöckle, W.; Jeschonnek, Sabine

doi:10.1103/physrevc.78.034002

Cited by 19 publications

(3 citation statements)

References 45 publications

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“…At larger angles multiple scattering effects, which are not included, are likely to become more important. This is a well known phenomenon in, e.g., three-body scattering, where higher-order Faddeev terms are needed to build up the backward angles in neutron-deuteron scattering [48,49]. The vertical dashed line marks the momentum transfer q = 2.45 fm −1 which corresponds to the laboratory kinetic energy of 125 MeV in the np system, up to which the chiral NNLO opt interaction was fitted.…”

mentioning

confidence: 99%

Ab initio Folding Potentials for Nucleon-Nucleus Scattering based on NCSM One-Body Densities

Burrows,

Elster,

Weppner

et al. 2018

Preprint

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Background: Calculating microscopic optical potentials for elastic nucleon-nucleus scattering has already led to large body of work in the past. For folding first-order calculations the nucleon-nucleon (NN) interaction and the one-body density of the nucleus were taken as input to rigorous calculations in a spectator expansion of the multiple scattering series.Purpose: Based on the Watson expansion of the multiple scattering series we employ a nonlocal translationally invariant nuclear density derived from a chiral next-to-next-to-leading order (NNLO) and the very same interaction for consistent full-folding calculation of the effective (optical) potential for nucleon-nucleus scattering for light nuclei.Results: We calculate scattering observables, such as total, reaction, and differential cross sections as well as the analyzing power and the spin-rotation parameter, for elastic scattering of protons and neutrons from 4 He, 6 He, 12 C, and 16 O, in the energy regime between 100 and 200 MeV projectile kinetic energy, and compare to available data.Conclusions: Our calculations show that the effective nucleon-nucleus potential obtained from the first-order term in the spectator expansion of the multiple scattering expansion describes experiments very well to about 60 degrees in the center-of-mass frame, which coincides roughly with the validity of the NNLO chiral interaction used to calculate both the NN amplitudes and the one-body nuclear density.

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mentioning

confidence: 99%

Ab initio Folding Potentials for Nucleon-Nucleus Scattering based on NCSM One-Body Densities

Burrows,

Elster,

Weppner

et al. 2018

Preprint

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“…As we learned from 3-boson scattering driven by a 2-body force of Malfliet-Tjion type [13] which incorporates typical properties of the NN force, namely an intermediate range attraction and a short range repulsion, the convergence of the series from Eq. ( 4) improves with increasing energy [23].…”

Section: The Formal Ingredientsmentioning

confidence: 90%

3N scattering in a three-dimensional operator formulation

et al. 2010

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A recently developed formulation for a direct treatment of the equations for two-and three-nucleon bound states as set of coupled equations of scalar functions depending only on vector momenta is extended to three-nucleon scattering. Starting from the spin-momentum dependence occurring as scalar products in two-and three-nucleon forces together with other scalar functions, we present the Faddeev multiple scattering series in which order by order the spin-degrees can be treated analytically leading to 3D integrations over scalar functions depending on momentum vectors only. Such formulation is especially important in view of awaiting extension of 3N Faddeev calculations to projectile energies above the pion production threshold and applications of chiral perturbation theory 3N forces, which are to be most efficiently treated directly in such three-dimensional formulation without having to expand these forces into a partial wave basis.

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“…At larger angles multiple scattering effects, which are not included, are likely to become more important. This is a well known phenomenon in, e.g., three-body scattering, where higher-order Faddeev terms are needed to build up the backward angles in neutron-deuteron scattering [51,52]. The vertical dashed line marks the momentum transfer q = 2.45 fm −1 which corresponds to the laboratory kinetic energy of 125 MeV in the np system, up to which the chiral NNLO opt interaction was fitted.…”

Section: A Elastic Scattering Observables For 4 He and 16 Omentioning

confidence: 99%

Ab initio folding potentials for nucleon-nucleus scattering based on no-core shell-model one-body densities

et al. 2019

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Background: Calculating microscopic optical potentials for elastic nucleon-nucleus scattering has already led to large body of work in the past. For folding first-order calculations the nucleon-nucleon (NN) interaction and the one-body density of the nucleus were taken as input to rigorous calculations in a spectator expansion of the multiple scattering series.Purpose: Based on the Watson expansion of the multiple scattering series we employ a nonlocal translationally invariant nuclear density derived from a chiral next-to-next-to-leading order (NNLO) and the very same interaction for consistent full-folding calculation of the effective (optical) potential for nucleon-nucleus scattering for light nuclei.Methods: The first order effective (optical) folding potential is computed by integrating over the nonlocal, translationally invariant NCSM one-body density and the off-shell Wolfenstein amplitudes A and C. The resulting nonlocal potential serves as input for a momentum-space Lippmann-Schwinger equation, whose solutions are summed to obtain the nucleon-nucleus scattering observables. Results:We calculate scattering observables, such as total, reaction, and differential cross sections as well as the analyzing power and the spin-rotation parameter, for elastic scattering of protons and neutrons from 4 He, 6 He, 12 C, and 16 O, in the energy regime between 100 and 200 MeV projectile kinetic energy, and compare to available data.Conclusions: Our calculations show that the effective nucleon-nucleus potential obtained from the first-order term in the spectator expansion of the multiple scattering expansion describes experiments very well to about 60 degrees in the center-of-mass frame, which coincides roughly with the validity of the NNLO chiral interaction used to calculate both the NN amplitudes and the one-body nuclear density.

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Faddeev and Glauber calculations at intermediate energies in a model forn+dscattering

Cited by 19 publications

References 45 publications

Ab initio Folding Potentials for Nucleon-Nucleus Scattering based on NCSM One-Body Densities

Ab initio Folding Potentials for Nucleon-Nucleus Scattering based on NCSM One-Body Densities

3N scattering in a three-dimensional operator formulation

Ab initio folding potentials for nucleon-nucleus scattering based on no-core shell-model one-body densities

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