A study of break-up processes in neutron-deuteron scattering

Kloet, W.M.; Tjon, J.A.

doi:10.1016/0375-9474(73)90309-6

Cited by 79 publications

(5 citation statements)

References 15 publications

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“…Our results show that, 3NF effects remain thereby small. As we have seen at 13 MeV and what we found at other energies below about 25 MeV, theory overshoots the experimental QFS maxima by about 20%. This dicreases but remains still significant at 65 MeV with about 13%.…”

Section: B Energy 65 Mevmentioning

confidence: 49%

“…In FIGS. [13][14][15][16][17][18][19][20][21][22][23][24][25] those data are compared to our theoretical predictions.…”

Section: B Energy 65 Mevmentioning

confidence: 99%

“…Unfortunately the access to the data is no longer possible and the documentation in [12] is insufficient to analyse the data newly. At that time they were analysed based on pioneering calculations by Kloet and Tjon [13]. They used very simple spin dependent S-wave forces, which are highly insufficient by present day standards.…”

Section: Introductionmentioning

confidence: 99%

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Three-nucleon force effects in nucleon induced deuteron breakup. II. Comparison to data

et al. 2002

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Selected Nd breakup data over a wide energy range are compared to solutions of Faddeev equations based on modern high precision NN interactions alone and adding current three-nucleon force models. Unfortunately currently available data probe phase space regions for the final three nucleon momenta which are rather insensitive to 3NF effects as predicted by current models. Overall there is good to fair agreement between present day theory and experiment but also some cases exist with striking discrepancies. Regions in the phase space are suggested where large 3NF effects can be expected.

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Section: B Energy 65 Mevmentioning

confidence: 49%

“…In FIGS. [13][14][15][16][17][18][19][20][21][22][23][24][25] those data are compared to our theoretical predictions.…”

Section: B Energy 65 Mevmentioning

confidence: 99%

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Three-nucleon force effects in nucleon induced deuteron breakup. II. Comparison to data

et al. 2002

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“…This method of contour deformation was introduced for separable potentials by Hetherington and Schick [7] and perfected by Cahill and Sloan [8]. The need to use realistic forces, which are predominantly local, led to methods integrating the singularities on the real momentum axis [9]. It took until the 1980's until the Faddeev equations were solved in the continuum with a realistic nucleon-nucleon (NN) force as input [10,11].…”

Section: Introductionmentioning

confidence: 99%

A New Approach to the 3D Faddeev Equation for Three-body Scattering

2008

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A novel approach to solve the Faddeev equation for three-body scattering at arbitrary energies is proposed. This approach disentangles the complicated singularity structure of the free threenucleon propagator leading to the moving and logarithmic singularities in standard treatments. The Faddeev equation is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. In its simplest form the Faddeev equation for identical bosons, which we are using , is an integral equation in five variables, magnitudes of relative momenta and angles. The singularities of the free propagator and the deuteron propagator are now both simple poles in two different momentum variables, and thus can both be integrated with standard techniques.

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“…In order to avoid this obstacle the path of integration in the kernel is moved into the complex plane (contour deformation), which imposes of course conditions on the analytical properties of the two-body separable forces. The need, however, for using the realistic two-body forces, which are dominantly local, enforced their expansion into a series of finite rank forces [4], which was tedious and finally overcome by integrating the logarithmic singularities directly on the real momentum axis [5]. It took until the eighties [6] that fully realistic two-body forces could be handled, now in a set of coupled integral equations in two variables.…”

Section: Introductionmentioning

confidence: 99%

A new form of three-body Faddeev equations in the continuum

Witała

Glöckle

2008

Eur. Phys. J. A

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We propose a novel approach to solve the three-nucleon (3N) Faddeev equation which avoids the complicated singularity pattern going with the moving logarithmic singularities of the standard approach. In this new approach the treatment of the 3N Faddeev equation becomes essentially as simple as the treatment of the two-body Lippmann-Schwinger equation. Very good agreement of the new and old approaches in the application to nucleon-deuteron elastic scattering and the breakup reaction is found.

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A study of break-up processes in neutron-deuteron scattering

Cited by 79 publications

References 15 publications

Three-nucleon force effects in nucleon induced deuteron breakup. II. Comparison to data

Three-nucleon force effects in nucleon induced deuteron breakup. II. Comparison to data

A New Approach to the 3D Faddeev Equation for Three-body Scattering

A new form of three-body Faddeev equations in the continuum

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