Benchmark solutions for a model three-nucleon scattering problem

A big spectrum of processes induced by real and virtual photons on the 3 He and 3 H nuclei is theoretically investigated through many examples based on nonrelativistic Faddeev calculations for bound and continuum states. The modern nucleon-nucleon potential AV18 together with the threenucleon force UrbanaIX is used. The single nucleon current is augmented by explicit π-and ρ-like two-body currents which fulfill the current continuity equation together with the corresponding parts of the AV18 potential. We also employ the Siegert theorem, which induces many-body contributions to the current operator. The interplay of these different dynamical ingredients in the various electromagnetic processes is studied and the theory is compared to the experimental data.Overall we find fair to good agreement but also cases of strong disagreement between theory and experiment, which calls for improved dynamics. In several cases we refer the reader to the work of other groups and compare their results with ours. In addition we list a number of predictions for observables in different processes which would challenge this dynamical scenario even more stringently and systematically.

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“…Now using the well known identity between the full resolvent operator G (−) occurring in (17) and the free resolvent operator…”

Section: Formalism In the Faddeev Schemementioning

confidence: 99%

“…But in the last 10-15 years also the 3N continuum got more and more under control [16][17][18][19][20][21], which opened solid theoretical access to the great diversity of inelastic real and virtual photon induced reactions on 3 He and the nucleon-deuteron (Nd) capture processes.…”

Section: Introductionmentioning

confidence: 99%

Electron and photon scattering on three-nucleon bound states

et al. 2005

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“…Various groups have published benchmark calculations showing that it possible to obtain accurate solutions of the n-d Faddeev scattering equations for energies above the breakup threshold [2,3] and using s-wave potentials. Recently, a benchmark calculation for n-d scattering has been published at E lab = 3 MeV (just below the deuteron breakup threshold) using a realistic NN potential [4].…”

Section: Introductionmentioning

confidence: 99%

Phase shifts and mixing parameters for low-energy proton-deuteron scattering

et al. 2001

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The eigenphase shifts and mixing parameters for elastic p-d scattering below the deuteron-breakup threshold are calculated for the AV14 two-body potential using two different numerical methods. The excellent agreement confirms that it is possible to perform accurate numerical studies of p-d scattering as well as n-d scattering for low energies. The numerical results can be considered as benchmarks for future calculations.

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“…The benchmark solutions for neutron-deuteron breakup amplitudes are shown in [7,8]. For this reason we take this case as a test for the method shown in this work.…”

Section: A Test Case: Neutron-deuteron Scatteringmentioning

confidence: 99%

“…In Sec. III, the n-d reaction, for which a series of benchmark calculations are available [7,8], will be used as a test of the method.…”

Section: Introductionmentioning

confidence: 99%

Integral relations and the adiabatic expansion method for1+2reactions above the breakup threshold: Helium trimers with soft-core potentials

et al. 2012

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The integral relations formalism introduced in [P. Barletta et al., Phys. Rev. Lett. 103, 090402 (2009); C. Romero-Redondo et al., Phys. Rev. A 83, 022705 (2011)] and designed to describe 1 + N reactions is extended here to collision energies above the threshold for the target breakup. These two relations are completely general, and in this work they are used together with the adiabatic expansion method for the description of 1 + 2 reactions. The neutron-deuteron breakup, for which benchmark calculations are available, is taken as a test of the method. The s-wave collision between the 4 He atom and 4 He 2 dimer above the breakup threshold and the possibility of using soft-core two-body potentials plus a short-range three-body force will be investigated. Comparisons to previous calculations for the three-body recombination and collision dissociation rates will be shown.

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Benchmark solutions for a model three-nucleon scattering problem

Abstract: Benchmark solutions for n-d scattering using a single model interaction have been produced by five different groups using different methods. These s-wave results have been obtained at three energies for both quartet and doublet scattering.

Cited by 82 publications

References 6 publications

Electron and photon scattering on three-nucleon bound states

Electron and photon scattering on three-nucleon bound states

Phase shifts and mixing parameters for low-energy proton-deuteron scattering

Integral relations and the adiabatic expansion method for1+2reactions above the breakup threshold: Helium trimers with soft-core potentials

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