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Need of repulsion in form factors for separable two-nucleon forces in conjunction with the two-pion-exchange three-nucleon force

W. Meier, W. G. Glöckle

Abstract

The bound state Faddeev equations in the well-known simplified form for separable two-nucleon forces are extended to include a three-nucleon force. A numerical study for the two-pion-exchange three-nucleon force in conjunction with commonly used spin dependent $s$-wave $\mathrm{NN}$ forces is presented. The violent short-range behavior of the two-pion-exchange three-nucleon force requires the choice of form factors for the two-nucleon forces which have a repulsion built in.NUCLEAR STRUCTURE Triton calculation, interplay of two- and three-nucleon force.

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Key concepts: Nucleon, Physics, Nuclear force, Pion, Faddeev equations, Separable space, Range (aeronautics), Spin (aerodynamics)