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

T.-Y. Saito; J. Haidenbauer

doi:doi:10.1007/PL00013657

EPJ

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

Abstract
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.

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

12 Internat. Congress of the Balkan Physical Union
July 8-12, 2025
Bucharest, Romania

EPJ

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

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