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The $\pi N$ potential includes the t-channel exchanges of the scalar-mesons$\sigma$ and f_0, vector-meson $\rho$, tensor-mesons f_2 and f_2' and thePomeron as well as the s- and u-channel exchanges of the nucleon N and theresonances $\Delta$, Roper and S_{11}. These resonances are not generateddynamically. We consider them as, at least partially, genuine three-quarkstates and we treat them in the same way as the nucleon. The latter tworesonances were needed to find the proper behavior of the phase shifts athigher energies in the corresponding partial waves. The soft-core $\pi N$-modelgives an excellent fit to the empirical $\pi N$ S- and P-wave phase shifts upto T_{lab}=600 MeV. Also the scattering lengths have been reproduced well andthe soft-pion theorems for low-energy $\pi N$ scattering are satisfied. Thesoft-core model for the $K^+ N$ interaction is an SU_f(3)-extension of thesoft-core $\pi N$-model. The $K^+ N$ potential includes the t-channel exchangesof the scalar-mesons a_0, $\sigma$ and f_0, vector-mesons $\rho$, $\omega$ and$\phi$, tensor-mesons a_2, f_2 and f_2' and the Pomeron as well as u-channelexchanges of the hyperons $\Lambda$ and $\Sigma$. The fit to the empirical $K^+N$ S-, P- and D-wave phase shifts up to T_{lab}=600 MeV is reasonable andcertainly reflects the present state of the art. Since the various $K^+ N$phase shift analyses are not very consistent, also scattering observables arecompared with the soft-core $K^+ N$-model. A good agreement for the total anddifferential cross sections as well as the polarizations is found.Comment: 24 pages, 20 PostScript figures, revtex4, submitted to Phys. Rev.

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

Soft-core meson-baryon interactions. II.<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>π</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mi>K</mml:mi><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:mi>N</mml:mi></mml:mrow></mml:math>scattering

Soft-core meson-baryon interactions. II.πNandK+Nscattering