<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>pd</mml:mi><mml:mo>↔</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mi>t</mml:mi></mml:math>reaction around the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Δ</mml:mi></mml:math>resonance

Canton, L.; Schadow, W.

doi:10.1103/physrevc.56.1231

Cited by 18 publications

(36 citation statements)

References 65 publications

(90 reference statements)

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“…The full (dashed) line exhibits the calculation at forward (backward) angles performed with the model introduced in Ref. [1], and correspond to results obtained under the same circumstances as the results for A y0 shown by the full line in Fig. 2.…”

Section: Resultssupporting

confidence: 65%

“…As already discussed in Ref. [1], the results with the Paris potential are about 25% smaller than the results obtained with the Bonn B potential. The results at backward angles show a greater sensitivity to the NN interaction, since the differences in this case cannot be attributed to a simple change in the normalization of the results.…”

Section: Resultsmentioning

confidence: 55%

“…[1] by considering the spin observables. In particular, we have studied the proton analyzing power A y0 and deuteron tensor analyzing power T 20 .…”

Section: Discussionmentioning

confidence: 99%

“…The transition amplitudes have to be decomposed into three-nucleon partial waves, whereas the pion-tritium motion is represented by a threedimensional plane-wave state. The calculation has been performed in momentum space, and details about the partial-wave formalism can be found elsewhere [1,6].…”

Section: Introductionmentioning

confidence: 99%

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Spin observables for thepd↔π+treaction around theΔresonance

et al. 1998

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The proton analyzing power A y0 and the deuteron tensor analyzing power T 20 are evaluated for the pd ↔ π + t process, in the energy region around and above the ∆ resonance. These calculations extend a previous analysis of the excitation function and differential cross-section, based on a model embodying one-and two-body p-wave absorption mechanisms and isobar excitation. The three-nucleon bound state and the pd scattering state are evaluated through Faddeev techniques for both the Bonn and Paris potentials. The spin variables exhibit a greater sensitivity to the number of included three-nucleon partial waves than the cross-sections, while the role played by the initial-or finalstate interactions appears to be small. The results for the tensor analyzing power at backward angles show a non-negligible dependence on the potentials employed, consistently with what has been previously found for the crosssections. The calculation of spin observables gives a clear indication that other reaction mechanisms (presumably s-wave two-body absorption) have to be included in the model, in order to reproduce the experimental data below the ∆-resonance, in analogy with the simpler pp ↔ πd process. PACS: 25.80.Ls, 25.10+s, 13.75.Cs

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Section: Resultssupporting

confidence: 65%

Section: Resultsmentioning

confidence: 55%

“…[1] by considering the spin observables. In particular, we have studied the proton analyzing power A y0 and deuteron tensor analyzing power T 20 .…”

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Spin observables for thepd↔π+treaction around theΔresonance

et al. 1998

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“…the 3 He wave function, is described in Refs. [24,25]. In the calculation of the Faddeev components the total angular momentum j of the two-body potential was restricted to j ≤ 2, while in the full state all partial waves with j ≤ 4 (34 channels) have been taken into account.…”

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confidence: 99%

Radiative capture of protons by deuterons

Schadow

Sandhas

1999

Phys. Rev. C

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The differential cross section for radiative capture of protons by deuterons is calculated using different realistic NN interactions. We compare our results with the available experimental data below Ex = 20 MeV. Excellent agreement is found when taking into account meson exchange currents, dipole and quadrupole contributions, and the full initial state interaction. There is only a small difference between the magnitudes of the cross sections for the different potentials considered. The angular distributions, however, are practically potential independent. PACS numbers(s): 21.45.+v, 25.40.Lw, 27.10.+h The radiative capture of protons by deuterons and the inverse reaction, the photodisintegration of 3 He, have been investigated experimentally and theoretically over the last decades with quite some interest. Despite the various corresponding investigations, the theory is only in rough agreement with experiment, and there are inconsistencies between the data up to 30% in the magnitudes of the cross sections From the theoretical side several attempts have been made to describe the cross sections in this energy region. In the early calculations by Barbour et al. [6] phenomenological interactions were used. It was shown that the final state interaction is quite important, and that the E2 contributions in the electromagnetic interaction are needed in the differential cross section. In the calculations by Gibson and Lehman [7] a more realistic Yamaguchi interaction, but only the E1 components were employed. King et al. [2] performed an effective two-body, direct capture calculation with the initial state being treated as a plane wave, or as a scattering state generated from an optical potential. Fonseca and Lehman [8] calculated the polarization observables A yy and T 20 at the excitation energy E x = 14.75 MeV including only the E1 interaction. A calculation at E x = 15 MeV based on realistic interactions and both, the E1 and E2 contributions has been done by Ishikawa and Sasakawa [9]. Another calculation of A yy in this energy region is by Jourdan et al. [10]. It was found in all these investigations that T 20 is independent of the deuteron and the helium D-state probability, whereas A yy shows a weak dependence on these quantities.Very-low-energy radiative capture processes are of considerable astrophysical relevance. The p-d radiative capture, which at such energies is almost entirely a magnetic dipole (M1) transition, was studied in plane wave (Born) approximation by Friar et al. [11]. In these investigations the authors employed their configuration-space Faddeev calculations of the helium wave function, with inclusion of three-body forces and pion exchange currents. Various trends, e.g., the correlation between cross sections and helium binding energies, and their potential dependence were pointed out. More recently a rather detailed investigation of such processes has been performed by Viviani et al. [12]. Their calculations employed the quite accurate three-nucleon bound-and continuum states obtained in the ...

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Comparison of Triton Bound-State Properties Using Different Separable Representations of Realistic Nucleon-Nucleon Potentials

Schadow

Sandhas²,

Haidenbauer³

et al. 2000

Few-Body Systems

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The quality of two different separable expansion methods (W matrix and Ernst-Shakin-Thaler) is investigated. We compare the triton binding energies and components of the triton wave functions obtained in this way with the results of a direct two-dimensional treatment. The Paris, Bonn A and Bonn B potentials are employed as underlying two-body interactions, their total angular momenta being incorporated up to j ≤ 2. It is found that the most accurate results based on the Ernst-Shakin-Thaler method agree within 1.5% or better with the two-dimensional calculations, whereas the results for the W-matrix representation are less accurate.

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pd↔π+treaction around theΔresonance

Cited by 18 publications

References 65 publications

Spin observables for thepd↔π+treaction around theΔresonance

Spin observables for thepd↔π+treaction around theΔresonance

Radiative capture of protons by deuterons

Comparison of Triton Bound-State Properties Using Different Separable Representations of Realistic Nucleon-Nucleon Potentials

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