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We investigate the $pp \to pK^{+}\Lambda$ reaction within an effectiveLagrangian model where the contributions to the amplitudes are taken intoaccount within the tree level. The initial interaction between the two nucleonsis modeled by the exchange of $\pi$, $\rho$, $\omega$ and $\sigma$ mesons andthe $\Lambda K^{+}$ production proceeds via the excitation of the $N^*$(1650),$N^*$(1710), $N^*$(1720) baryonic resonances. The parameters of the model atthe nucleon-nucleon-meson vertices are determined by fitting the elasticnucleon-nucleon scattering with an effective interaction based on the exchangeof these four mesons, while those at the resonance vertices are calculated fromthe known decay widths of the resonances as well as the vector meson dominancemodel. Available experimental data is described well by this approach. Theone-pion-exchange diagram dominates the production process at both higher andlower beam energies. The $\rho$ and $\omega$ meson exchanges make negligiblecontributions. However, the $\sigma$-exchange processes contributesubstantially to the total cross sections at lower beam energies. Theexcitation of the $N^*$(1710) and $N^*$(1650) resonances dominate this reactionat beam momenta above and below 3 GeV/c respectively. The interference amongthe amplitudes of various resonance excitation processes is significant. Forbeam energies very close to the $K^{+}$ production threshold the hyperon-protonfinal state interaction effects are quite important. The data is selectiveabout the model used to describe the low energy scattering of the two finalstate baryons.Comment: Revised version, to appear in Phys. Rev.

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

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mo>→</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>pK</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mi>Λ</mml:mi></mml:math>reaction in an effective Lagrangian model

pp→pK+Λreaction in an effective Lagrangian model