The chiral S=-1 meson-baryon interaction with new constrains on the NLO contributions

Abstract

We present a study of the $S=-1$ meson-baryon interaction, employing a chiral SU(3) Lagrangian up to next-to-leading order (NLO) and implementing unitarization in coupled channels. The parameters of the model have been fitted to a large set of experimental scattering data in different two-body channels, to threshold branching ratios, and to the precise SIDDHARTA value of the energy shift and width of kaonic hidrogen. In contrast to other groups, we have taken into consideration the $K^{-}p\to K^{+}{\Xi }^{-},K^0{\Xi }^0$ reaction data, since we found in a previous work to be especially sensitive to the NLO parameters of the chiral Lagrangian. In the present work we also include the Born terms, which usually have very little effect, and find them to be non-negligible in the $K^{-}p\to K\Xi$ channels, correspondingly causing significant modifications to the NLO parameters. We furthermore show that the importance of the Born terms becomes more visible in the isospin projected amplitudes of the $K^{-}p\to K\Xi$ reactions. The measurement of processes that filter single isospin components, like the $K_L^{0}p\to K^{+}{\Xi }^0$ reaction that could be measured at the proposed secondary $K_L^0$ beam at Jlab, would put valuable constraints on the chiral models describing the meson-baryon interaction in the $S=-1$ sector.

21 pages, 6 figures. Accepted for publication in Nuclear Physics A (special issue on Strangeness and Charm Nuclear Physics). arXiv admin note: text overlap with arXiv:1502.07956

References in corpus (12)

• Big-Bang Nucleosynthesis
• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• K^- p scattering length from scattering experiments
• Chiral dynamics of the S11(1535) and S11(1650) resonances revisited
• New insights into antikaon-nucleon scattering and the structure of the Lambda(1405)
• Predictions for the ${\Lambda }_b\to J/\psi \Lambda (1405)$ decay
• Photoproduction of Xi off nucleons
• Measurement of b hadron lifetimes in exclusive decays containing a J/psi in p-pbar collisions at sqrt(s)=1.96TeV
• $\bar{K}+N\to K+\Xi$ reaction and $S=-1$ hyperon resonances
• The ${\Lambda }_b\to J/\psi K\Xi$ decay and the higher order chiral terms of the meson baryon interaction
• Faddeev-Chiral Unitary Approach to the $K^{-}d$ scattering length
• Role of high-spin hyperon resonances in the reaction of $\gamma p\to K^{+}{K}^{+}{\Xi }^{-}$

Cited by in corpus (12)

• Hadronic molecules
• $S=-1$ meson-baryon interaction and the role of isospin filtering processes
• Cross-channel constraints on resonant antikaon-nucleon scattering
• Hyperon resonances coupled to pseudoscalar- and vector-baryon channels
• S- and p-wave structure of $S=-1$ meson-baryon scattering in the resonance region
• The $\Xi (1620)$ and $\Xi (1690)$ molecular states from $S=-2$ meson-baryon interaction up to next-to-leading order
• New insights into the pole parameters of the $\Lambda (1380)$, the $\Lambda (1405)$ and the $\Sigma (1385)$
• The molecular nature of some exotic hadrons
• $J/\psi N$ interactions revisited and ${\Lambda }_b^0\to J/\psi K^{-}({\pi }^{-})p$ decays
• Is two-poles' $\Lambda (1405)$ one state or two?
• Constraints from a large-N_c analysis on meson-baryon interactions at chiral order Q^3
• The $\bar{K}N$ interaction in higher partial waves