2019 Impact factor 2.176
Hadrons and Nuclei
Eur. Phys. J. A 7, 559-571

A two-pion exchange three-nucleon force based on a realistic $\pi N$ interaction

T.-Y. Saito1 - J. Haidenbauer2

1 International Buddhist University, Habikino, Osaka 583, Japan
2 Institut für Kernphysik, Forschungszentrum Jülich GmbH, 52425 Jülich, Germany

Received: 9 February 2000 Communicated by V.V. Anisovich

The contribution of a $\pi \pi$-exchange three-body force to the three-nucleon binding energy is calculated in terms of a $\pi N$ amplitude. The latter is based on a meson-theoretical model of $\pi N$ interaction developed by the Jülich group. Similar to a previous study based on simple phenomenological $\pi N$ potentials a very small effect of the resulting three-body force is found. Possible origins of the two-orders-of-magnitude discrepancy between the present result and the values obtained for the Tucson-Melbourne three-body force are investigated. Evidence is provided that this discrepancy is most likely due to strikingly different off-shell properties of the $\pi N$ amplitudes underlying the two approaches.

21.10.Dr Binding energies and masses - 21.45.+v Few-body systems - 25.80.Dj Pion elastic scattering

Copyright Società Italiana di Fisica, Springer-Verlag 2000