Calculation of proton-deuteron phase parameters including the coulomb force

Alt, E. O.; Sandhas, W.; Ziegelmann, H.

doi:10.1016/0375-9474(85)90451-8

Cited by 56 publications

(31 citation statements)

References 27 publications

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“…The results of this investigation show that a more realistic inclusion of the long-and short-range parts of the Coulomb interaction in the Faddeev calculations is required, where at present for computational reasons only a crude approximation could be used. Thus the finding of Alt, Sandhas and Ziegelmann [24], that no approximative treatment of the Coulomb force in three-body Faddeev calculations can in principle be satisfactory, is corroborated.…”

Section: Resultssupporting

confidence: 58%

Measurement of $$D(\vec p,p)D$$ elastic scattering at 10.0, 12.0, 14.1 and 16.5 MeV especially for small forward and extreme backward scattering angles

et al. 1988

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Abstract. The D(ff, p)D elastic scattering was investigated especially in theCoulomb sensitive scattering regions. Angular distributions of the differential cross section and of the analyzing power Ay, with emphasis on small scattering angles, were measured at 10.0 and 14.1 MeV. For extreme backward angles up to ~.m. = 179~ the differential cross section was measured at 12o0, 14.1 and 16.5 MeV. The data have been compared with recent Faddeev calculations based on the realistic meson-exchange Paris potential and including an approximate Coulomb correction. There are discrepancies between the data and the calculations especially for the analyzing power. This indicates that the approximate treatment of Coulomb effects and possibly also the purely rmclear part of the calculations need to be improved.

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Section: Resultssupporting

confidence: 58%

Measurement of $$D(\vec p,p)D$$ elastic scattering at 10.0, 12.0, 14.1 and 16.5 MeV especially for small forward and extreme backward scattering angles

et al. 1988

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“…As mentioned in the Introduction, the first theoretically satisfactory calculations of pd elastic scattering above the breakup threshold [23,22] and of pd breakup [24][25][26] employed rather simple ansaetze for the nuclear interaction. In spite of this limitation at least semiquantitative agreement with experimental differential cross sections for elastic scattering and for five-fold differential cross sections for deuteron breakup in various kinematic situations could be achieved.…”

Section: Resultsmentioning

confidence: 99%

“…The matrix elements q α |T (R) αm,βn (E + i0)|q ′ β in which the form factors in the initial and final state correspond to bound states and hence satisfy a condition of the type (22), coincide on the energy shell (16) with the physical amplitudes (15).…”

Section: Off-shell Equations For Transition Amplitudesmentioning

confidence: 99%

“…The physical amplitudes corresponding to unscreened Coulomb potentials are then recovered by numerically performing a limiting procedure in suitably renormalised quantities. Details can be found in [21,22]. This approach has been applied with great success to the calculation of differential cross sections for pd elastic scattering [22,23] (see also [21] and references therein) and to five-fold differential cross sections for pd breakup [24][25][26] in various kinematic configurations, with due account of the Coulomb interaction (but employing simple models of the nuclear interaction only).…”

Section: Introductionmentioning

confidence: 99%

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Proton-deuteron elastic scattering from 2.5 to 22.7 MeV

et al. 2002

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We present the results of a calculation of differential cross sections and polarization observables for proton-deuteron elastic scattering, for proton laboratory energies from 2.5 to 22.5 MeV. The Paris potential parametrisation of the nuclear force is used. As solution method for the charged-composite particle equations the 'screening and renormalisation approach' is adopted which allows to correctly take into account the Coulomb repulsion between the two protons. Comparison is made with the precise experimental data of Sagara et al. [Phys. Rev. C 50, 576 (1994)] and of Sperison et al. [Nucl. Phys. A422, 81 (1984)].

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“…There, however, the theoretical situation has been unsatisfactory until now. Either, when being of similar sophistication as in the nd case, reliable calculations had to be confined to energies below the deuteron breakup threshold [2,3] or, when performed at positive energies, had to resort to a simple ansatz for the nuclear interaction [4]. But the few cases where experiments have been performed for the nd and the pd reaction, for the same observable, at the same energy, clearly show that the presence of the Coulomb force in the latter case, in general, modifies the observables appreciably.…”

mentioning

confidence: 99%

Calculation of Proton-Deuteron Elastic Scattering at 10 MeV with a Realistic Potential

1998

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We present the first results of a calculation of the differential cross section and of polarization observables for proton-deuteron elastic scattering at 10 MeV proton laboratory energy, for the Paris potential. The method used is the "screening and renormalization approach" which allows one to correctly take into account the Coulomb repulsion between the two protons. Comparison is made with the precise experimental data of Sagara et al. [Phys. Rev. C 50, 576 (1994)] and of Sperison et al. [Nucl. Phys. A422, 81 (1984)]. [S0031-9007(98)07756-4] PACS numbers: 25.10. + s, 03.65.Nk, 25.40.Cm During the past decade, the theoretical calculation of neutron-deuteron ͑nd͒ scattering observables has become feasible using the most up-to-date models of the nucleonnucleon ͑NN͒ interaction including three-nucleon forces [1]. The goal behind this endeavor is to get a better understanding of interesting physical phenomena such as three-nucleon forces and off-shell behavior of the nuclear interaction; but also signatures of the quark substructure may be obtainable. Furthermore, extraction of NN on-shell information which is difficult to deduce from NN scattering experiments could be possible. Such expectations are, however, to be confronted with the experimental situation which for neutrons as projectiles is rather unsatisfactory: despite great efforts, the available data are sparse and of an accuracy which as yet does not allow one to meaningfully differentiate between all of the various theoretical assumptions entering the calculations.For the proton-induced reaction ͑pd͒, on the other hand, a rich body of accurate data is available and is still being continuously expanded. There, however, the theoretical situation has been unsatisfactory until now. Either, when being of similar sophistication as in the nd case, reliable calculations had to be confined to energies below the deuteron breakup threshold [2,3] or, when performed at positive energies, had to resort to a simple ansatz for the nuclear interaction [4]. But the few cases where experiments have been performed for the nd and the pd reaction, for the same observable, at the same energy, clearly show that the presence of the Coulomb force in the latter case, in general, modifies the observables appreciably. Hence, the standard procedure of comparing "realistic" nd calculations with pd data must be considered unsatisfactory in that the expected (smaller) effects of the above-mentioned interesting topics might be more or less veiled by the neglected Coulomb effects.Thus, in order to make adequate use of the high precision pd data it is of foremost importance to reliably estimate the influence of the Coulomb repulsion between the two protons, for all energies, with realistic nuclear forces.In this paper, we present the first results obtained along these lines for various pd elastic scattering observables, at an energy above the deuteron breakup threshold. For our calculations we use the screening and renormalization approach [5,6] (for a recent review, see [7]) as formulate...

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Calculation of proton-deuteron phase parameters including the coulomb force

Cited by 56 publications

References 27 publications

Measurement of $$D(\vec p,p)D$$ elastic scattering at 10.0, 12.0, 14.1 and 16.5 MeV especially for small forward and extreme backward scattering angles

Measurement of $$D(\vec p,p)D$$ elastic scattering at 10.0, 12.0, 14.1 and 16.5 MeV especially for small forward and extreme backward scattering angles

Proton-deuteron elastic scattering from 2.5 to 22.7 MeV

Calculation of Proton-Deuteron Elastic Scattering at 10 MeV with a Realistic Potential

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