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Abstract
This work contains a study of the meson-baryon interaction in the S = −1 sector by means of a chiral SU (3) Lagrangian up to next-to-leading order (NLO) and implementing unitarization in coupled channels. In order to get more reliable values of the parameters which are present in the model, we performed several fits which take a large set of experimental scattering data in different two-body channels, threshold branching ratios, and the precise SIDDHARTA values of the energy shift and width of kaonic hidrogen into consideration. In previous studies, we had shown that the K − p → K Ξ reactions are especially sensitive to the next to Weinberg-Tomozawa (WT) corrections in the hierarchy. In addition, we pointed out the need to employ processes which are described by pure isospin amplitudes as a tool to discern which models are more realistic among those which give small values for the χ 2 in the fits. Following the former suggestion, we present results which include data from K − p → η Λ, η Σ reactions which have pure isospin I = 0 and I = 1 component respectively. Finally, to check the goodness of the new obtained parametrization of the model, we present a prediction for another process that filters the I = 1 isospin component: the pure I = 1 reaction which could be measured at the proposed secondary K 0 L beam at Jlab.
Highlights
Chiral Perturbation Theory (ChPT) is an effective theory which has proved to be appropriate to describe the interaction of hadrons at low energies where Quantum Chromodynamics (QCD) fails in describing the strong interaction by means of a perturbative treatment
The spontaneous breaking of the chiral symmetry gives rise to the corresponding Goldstone bosons which are identified with the pseudoscalar mesons in this theoretical framework
Unitarized Chiral Perturbation Theory (UChPT), which combines chiral dynamics with unitarization techniques in coupled channels, has been shown to be a very powerful tool to describe the hadron interaction including the dynamical generation of bound-states and resonances
Summary
Chiral Perturbation Theory (ChPT) is an effective theory which has proved to be appropriate to describe the interaction of hadrons at low energies where Quantum Chromodynamics (QCD) fails in describing the strong interaction by means of a perturbative treatment. As we had expected, we got a more precise and trustable determination of the corresponding NLO parameters This last result could be explained because the inclusion of these resonant terms simulate the contributions of higher angular momenta of the other channels, via rescattering, in the energy regim above the KΞ threshold and, the parameters of the model get relaxed avoiding a possible overestimation of their values. The motivation of the present study is to implement these isospin filtering scattering processes into our set of experimental data in order to obtain more trustable and reliable values of the NLO coefficients, improving over our previous models of the S = −1 interaction
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