The New Determination of the ηN S-wave Scattering Length From a Three-Channel, Multi-Resonance Amplitude Analysis

Batinić, M.; Dadic, I.; Šlaus, I.; Švarc, Alfred; Nefkens, B. M. K.; Lee, T.-S. H.

doi:10.1088/0031-8949/58/1/002

Cited by 65 publications

(84 citation statements)

References 14 publications

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“…This value was obtained in [7] using a phenomenological analysis of the coupled channels πN, ππN, ηN and γN , and is in close agreement with other recent results for low-energy ηN -scattering [30]. In order to complete the formal part, we only have to generalize our formalism to add also spin-isospin degrees of freedom.…”

Section: Formalismsupporting

confidence: 89%

The ηNN-system at low energy within a three-body approach

Fix

Arenhövel

2002

Nuclear Physics A

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The role of the ηN N -interaction is studied in the low energy regime in η-deuteron reactions as well as in coherent and incoherent η-photoproduction on the deuteron using a three-body model with separable two-body interactions. The three-body approach turns out to be quite essential in the most important lowest partial wave. Results are presented for differential and total cross sections as well as for the η-meson spectrum. They differ significantly from those predicted by a simple rescattering model in which only first-order ηN -and N N -interactions in the final state are considered. The major features of the experimental data of η-photoproduction in the near-threshold region are well reproduced.

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Section: Formalismsupporting

confidence: 89%

The ηNN-system at low energy within a three-body approach

Fix

Arenhövel

2002

Nuclear Physics A

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“…[25] a large scattering length a ηN = 0.75(4) + i0.27(3)f m was found, and in addition the effective range expansion was shown to work well in a broad region of both positive and negative energies. A very similar value of a ηN = 0.72(3) + i0.26(2)f m was obtained in a dispersion theoretic analysis of reference [26]. However, further studies [27] of the K-matrix model done in the spirit of Ref.…”

Section: Introductionsupporting

confidence: 70%

“…(26). The factor of 2 in the denominator is essential, since Σ static 1 corresponds to the double scattering amplitude generated by an optical potential…”

Section: The Static Nucleon and Deuteron Dominance Approximationsmentioning

confidence: 99%

Final state interactions in theηdsystem

Wycech

Green

2001

Phys. Rev. C

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“…In contrast, the sub-process scattering amplitudes indicated by the blobs in Fig. 2b and 2c have been empirically determined in [10,14,15].…”

mentioning

confidence: 99%

The reaction pp→ppη and the eta–nucleon and nucleon–nucleon interactions

Peña

Garcilazo²,

Riska

2001

Nuclear Physics A

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The π, η and ρ exchange contributions to the cross-section for the reaction pp → ppη near threshold are calculated, with a phenomenological description of the intermediate S11 (N(1535)) resonance for all exchange mechanisms. The final state interaction in the pp system is described by realistic nucleon-nucleon interaction models. The sensitivity of the results to the phenomenological models for the η-nucleon transition amplitude and the nucleon-nucleon interaction is explored. The η exchange mechanism is found to play a dominant role. The off-shell behavior of the ηN → ηN amplitude within the η−exchange amplitude leads to a result significantly different from that obtained with the constant scattering length approximation. The twonucleon amplitudes that are associated with the short range components of the nucleon-nucleon interaction contribute significantly to the cross section.

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The New Determination of the ηN S-wave Scattering Length From a Three-Channel, Multi-Resonance Amplitude Analysis

Cited by 65 publications

References 14 publications

The ηNN-system at low energy within a three-body approach

The ηNN-system at low energy within a three-body approach

Final state interactions in theηdsystem

The reaction pp→ppη and the eta–nucleon and nucleon–nucleon interactions

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