A Two pion exchange three nucleon force based on a realistic piN interaction

Saito, T.Y.; Haidenbauer, J.

doi:10.1007/s100500050428

A Two pion exchange three nucleon force based on a realistic piN interaction

Mar, 2000

22 pages

Published in:

Eur.Phys.J.A 7 (2000) 559-571

e-Print:

nucl-th/0003064 [nucl-th]

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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 J\"ulich 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 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

\pi N

amplitudes underlying the two approaches.

Note:

22 pages, 8 figures; to appear in Eur. Phys. J. A

nuclear physics
three-body problem: force
exchange: two-pion
tritium: binding energy
pi nucleon: interaction
potential
Feynman graph
numerical calculations

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