Energy dependence of analyzing power<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="italic">A</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">y</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>and cross section for<i>p</i>+<i>d</i>scattering below 18 MeV

Sagara, K.; Oguri, H.; Shimizu, Sakae; Maeda, K.; Nakamura, Hitoshi; Nakashima, T.; Morinobu, S.

doi:10.1103/physrevc.50.576

Cited by 110 publications

(135 citation statements)

References 32 publications

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“…1, comparing them with experimental data [14,15]. Deficiencies of the AV18 calculations in reproducing the data prominently appear as a smallness for the maximum of A y (θ ) at θ ≈ 100 • and as an excess for the local minimum of T 21 (θ ) at θ ≈ 80 • .…”

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confidence: 99%

Spin-dependent three-nucleon force effects on nucleon-deuteron scattering

Ishikawa

2007

Phys. Rev. C

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We construct a phenomenological three-nucleon force (3NF) model that gives a good description of polarization observables in elastic nucleon-deuteron (N -d) scattering at a low energy together with a realistic nucleon-nucleon force and a 3NF arising from the exchange of two pions. Parameters of the model, which consists of spinindependent, spin-orbit, and tensor components, are determined to reproduce the three-nucleon binding energy and polarization observables in N -d scattering at 3 MeV. Predictions of the 3NF model on N -d polarization observables at higher energies are examined, and the effects of each component on the observables are investigated. As is well known, modern two-nucleon force (2NF) models have a deficiency in explaining the binding energies of three-nucleon (3N) systems, and this problem is successfully solved by introducing a 3NF arising from the exchange process of two pions among three nucleons, which is called the two-pion-exchange (2π E) 3NF [1,2]. However, such combinations of the 2NFs and the 2π E-3NF that reproduce the 3N binding energy do not necessarily explain polarization observables in 3N scattering systems such as vector or tensor analyzing powers in elastic N -d scattering. See, e.g., Table III of Ref. [3], where calculations of observables with and without a 2π E-3NF are compared in terms of χ 2 with experimental data below 30 MeV of incident nucleon energy in the laboratory system. In spite of recent progress in constructing realistic 3NFs from chiral effective field theory or from heavier-boson-exchange mechanisms, no consensus has been obtained for possible mechanisms of 3NFs consistent with all of the experimental data. On the other hand, model 3NFs with artificial functional forms have been proposed to explain the polarization observables quite well [4][5][6]. These 3NFs have a form that typical components in 2NFs, e.g., central spin-independent, tensor, or spin-orbit components, are modified in the presence of third nucleon. [See Eq. (1) below.]In this paper, we introduce such a phenomenological 3NF to resolve the discrepancies of a 2NF and the 2π E-3NF at a low energy, and we examine whether it is still valid for N -d observables at higher energies up to 30 MeV. Since it may not be so difficult to understand what physical process is simulated by the spin dependence of each component, we expect that the present study will provide some hint of which characteristics of more realistic 3NFs should be studied.Our 3N calculations are based on a formalism to solve the Faddeev equations in coordinate space as integral equations [7,8]. For scattering states below the 3N breakup threshold energy, effects of the long-range Coulomb force between two * ishikawa@hosei.ac.jp protons are exactly treated [9]. Calculations for energies above the 3N breakup threshold are formulated in Ref. [10]. 3N partial wave states for which 2NFs and 3NFs act, are restricted to those with total two-nucleon angular momenta j 6 for bound state calculations, and j 3 for scattering state calculations. The ...

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confidence: 99%

Spin-dependent three-nucleon force effects on nucleon-deuteron scattering

Ishikawa

2007

Phys. Rev. C

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“…The central part of the entrance potentials for α-p and d-p has been derived as previously [27] from empirical p-α and p-d potentials by means of a single-folding method. The empirical potentials were obtained from p + d and p + α elastic-scattering studies at E = 2.52-5 MeV/u measured previously [40][41][42][43][44][45][46]. These p + d and p + α elastic-scattering data were fitted by simple Woods-Saxon form factors for both real volume and imaginary volume parts for the p + α system and a real volume and a surface imaginary term for the p + d system.…”

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confidence: 99%

Reexamination ofLi6+pelastic scattering in inverse kinematics

Soukeras¹,

Pakou²,

Cappuzzello³

et al. 2015

Phys. Rev. C

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“…Comparing theoretical calculations to the recent precise measurements of pd scattering data [4][5][6][7][8] indicates that theoretical predictions based on two-nucleon forces alone are not sufficient to describe the data above about 100 MeV. The minimum of the differential cross section has been discussed as the first signal of the 3NF effects, which are already seen below 100 MeV [9][10][11]. However, presently available 3NF's only partially improve the description of cross section data and spin observables.…”

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confidence: 99%

Calculations of the Triton Binding Energy with a Lorentz Boosted Nucleon-Nucleon Potential

Kamada

Glöckle

Witała

et al. 2010

EPJ Web of Conferences

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Abstract.We study the binding energy of the three-nucleon system in relativistic models that use two different relativistic treatments of the potential that are phase equivalent to realistic NN interactions. One is based on a unitary scale transformation that relates the non-relativistic center-of-mass Hamiltonian to the relativistic mass (rest energy) operator and the other uses a non-linear equation that relates the interaction in the relativistic mass operator to the non-relativistic interaction. In both cases Lorentz-boosted interactions are used in the relativistic Faddeev equation to solve for the three-nucleon binding energy. Using the same realistic NN potentials as input, the solution of the relativistic three-nucleon Faddeev equation for 3 H shows slightly less binding energy than the corresponding nonrelativistic result. The effect of the Wigner spin rotation on the binding is very small.

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Energy dependence of analyzing powerAyand cross section forp+dscattering below 18 MeV

Cited by 110 publications

References 32 publications

Spin-dependent three-nucleon force effects on nucleon-deuteron scattering

Spin-dependent three-nucleon force effects on nucleon-deuteron scattering

Reexamination ofLi6+pelastic scattering in inverse kinematics

Calculations of the Triton Binding Energy with a Lorentz Boosted Nucleon-Nucleon Potential

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