Abstract
We calculate the process np → ηd near threshold using a separable potential model of the coupled ηN - πN - ππN subystems, and a relativistic three-body calculation for the ηd scattering amplitude. The ππN channels are represented by an effective σN channel, and we compare the case where the σ and π masses are related by m σ = 2m π and no width is considered, to another where the mass and width of the σ -meson are taken from ππ scattering data. The np → ηd cross-section can be well described up to about 60MeV by models where the real part of the ηN scattering length lies between 0.4≤Re(a ηN)≤0.6 fm which allows us to determine the s -wave ηN scattering amplitude for -60≤E≤60 MeV.
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M. Anselmino
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Garcilazo, H., Peña, M.T. np → ηd near threshold and the s -wave ηN amplitude. Eur. Phys. J. A 38, 209–217 (2008). https://doi.org/10.1140/epja/i2008-10662-x
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DOI: https://doi.org/10.1140/epja/i2008-10662-x