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The effect of correlated scalar-isoscalar two-pion exchange (CrTPE) modes isconsidered in connection with central and spin-orbit parts of the NN force. Thetwo-pion correlation function is coupled directly to the scalar form factor ofthe nucleon which we calculate in the large-N(C) limit where the nucleon can bedescribed as a soliton of an effective chiral theory. The results for thecentral NN force show a strong repulsive core at short internucleon distancessupplemented by a moderate attraction beyond 1 fm. The long-range tail of thecentral NN potential is driven by the the pion-nucleon sigma term andconsistent with the effective $\sigma$ meson exchange. The spin-orbit part ofthe NN potential is repulsive. The large-N(C) scaling behavior of thescalar-isoscalar NN interaction is addressed. We show that the spin-orbit partis O(1/N^2(C)) in strength relative to the central force resulting in the ratio$\simeq 1/9$ suggested by the 1/N(C) expansion for N(C)=3. The latter is inagreement with our numerical analysis and with the Kaplan-Manohar large-N(C)power counting. Unitarization of the $\pi \pi$ scattering amplitude plays herean important role and improves the tree level results. Analyticalrepresentations of the CrTPE NN potential in terms of elementary functions arederived and their chiral content is discussed.Comment: 29 pages, 7 figure

physical review. c. nuclear physics/physical review. c, nuclear physics

Correlated two-pion exchange and large-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math>behavior of nuclear forces

Correlated two-pion exchange and large-Ncbehavior of nuclear forces