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

preprint2000arXivOpen access

Abstract

The contribution of a ππππ-exchange three-body force to the three-nucleon binding energy is calculated in terms of a πNπN amplitude. The latter is based on a meson-theoretical model of πNπN interaction developed by the Jülich group. Similar to a previous study based on simple phenomenological πNπN potentials a very small effect of the resulting three-body force is found. Possible origins of the two-orders-of-magnitude descrepancy 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 πNπN amplitudes underlying the two approaches.

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