A study of the $KN$-$K^{\ast }N$ coupled systems

Abstract

We study the strangeness $+1$ meson-baryon systems to obtain improved $KN$ and $K^{\ast }N$ amplitudes and to look for a possible resonance formation by the $KN$-$K^{\ast }N$ coupled interaction. We obtain amplitudes for light vector meson-baryon systems by implementing the $s$-, $t$-, $u$- channel diagrams and a contact interaction. The pseudoscalar meson-baryon interactions are obtained by relying on the Weinberg-Tomozawa theorem. The transition amplitudes between the systems consisting of pseudoscalars and vector mesons are calculated by extending the Kroll-Ruderman term for pion photoproduction replacing the photon by a vector meson. We fix the subtraction constants required to calculate the loops by fitting our $KN$ amplitudes to the data available for the isospin 0 and 1 $s$-wave phase shifts. We provide the scattering lengths and the total cross sections for the $KN$ and $K^{\ast }N$ systems obtained in our model, which can be useful in future in-medium calculations. Our amplitudes do not correspond to formation of any resonance in none of the isospin and spin configurations.

Published version, sent to avoid confusions recently noticed by authors

References in corpus (17)

• Three body resonances in two meson-one baryon systems
• Phenomenology of nonperturbative charm in the nucleon
• The $N^{\ast }(1710)$ as a resonance in the $\pi \pi N$ system
• Solution to Faddeev equations with two-body experimental amplitudes as input and application to J^P=1/2^+, S=0 baryon resonances
• Exotic dynamically generated baryons with negative charm quantum number
• Vector meson-Baryon dynamics and generation of resonances
• Strange mesons in nuclear matter at finite temperature
• Anti-strange meson-baryon interaction in hot and dense nuclear matter
• ${\bar{K}}^{\ast }$ meson in dense matter
• Medium effects in proton-induced $K^0$ production at 3.5 GeV
• Reaction $\bar{p}p\to {\bar{\Lambda }}_c^{-}{\Lambda }_c^{+}$ within an effective Lagrangian model
• Associate K^0 production in p+p collisions at 3.5 GeV: The role of Delta(1232)++
• Study of the $\gamma d\to K^{+}{K}^{-}np$ reaction and an alternative explanation for the "${\Theta }^{+}(1540)$ pentaquark" peak
• Properties of strange vector mesons in dense and hot matter
• Partial-wave analysis of $K^{+}$ nucleon scattering
• Magnetic interaction induced by the anomaly in kaon-photoproductions
• Resonances and the Weinberg--Tomozawa 56-baryon --35-meson interaction

Cited by in corpus (6)

• Understanding the $K^{\ast }/K$ ratio in heavy ion collisions
• Semileptonic ${\Lambda }_b\to {\bar{\nu }}_{l}l{\Lambda }_c(2595)$ and ${\Lambda }_b\to {\bar{\nu }}_{l}l{\Lambda }_c(2625)$ decays in the molecular picture of ${\Lambda }_c(2595)$ and ${\Lambda }_c(2625)$
• Near-threshold $K^{\ast }(892{)}^{+}$ meson production in the interaction of ${\pi }^{-}$ mesons with nuclei
• Spectral functions of strange vector mesons in asymmetric hyperonic matter
• Antikaon-induced $K_1(1270{)}^{+}$ meson production on nuclei near threshold
• Medium modification of strange hadronic resonances at SIS, RHIC and LHC energies