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Meson-baryon reactions with strangeness -1 within a chiral framework

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arxiv 1210.3485 v2 pith:AONKS3S7 submitted 2012-10-12 hep-ph nucl-th

classification hep-phnucl-th
keywords sigmadatalambdameson-baryonscatteringamplitudeschiralexperimental
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study meson-baryon scattering with strangeness -1 in unitary chiral perturbation theory. Ten coupled channels are considered in our work, namely $\pi^0 \Lambda$, $\pi^0 \Sigma^0$, $\pi^- \Sigma^+$, $\pi^+ \Sigma^-$, $K^- p$, $\bar{K}^0 n$, $\eta \Lambda$, $\eta \Sigma^0$, $K^0 \Xi^0$ and $K^+ \Xi^-$. A large amount of experimental data are analyzed, including the recent precise measurement by the SIDDHARTA Collaboration of the energy shift and width of the $1s$ state of kaonic hydrogen. This leads to a strong constraint on the free parameters in our theory and of the resulting meson-baryon scattering amplitudes. We also analyze the uncertainty that stems by using several different strategies to perform the fits to data. It is found that large uncertainties in the subthreshold extrapolation of the $K^-p$ scattering amplitude arise by employing either only one common weak pseudoscalar decay constant or distinguishing between $f_\pi$, $f_K$ and $f_\eta$. However, in both cases a good reproduction of experimental data is obtained. We also discuss the pole content of the resulting $S$-wave amplitudes, particularly in connection with the two-pole structure of the $\Lambda(1405)$ resonance.

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Cited by 4 Pith papers

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  1. Universal parameters of the $\Lambda(1380)$, the $\Lambda(1405)$ and their isospin partners from a combined analysis of Lattice QCD and experimental results

    hep-ph 2025-07 conditional novelty 6.0 of 10

    A combined global fit of lattice QCD spectra and experimental Kbar N data within chiral unitary approaches gives pole positions for the Lambda(1380) and Lambda(1405) at physical and lattice quark masses, with systemat...

  2. High-precision measurement of the kaonic hydrogen 1s level shift and width with SIDDHARTA-2

    nucl-ex 2026-07 conditional novelty 5.0 of 10

    A new kaonic-hydrogen X-ray measurement yields the most precise values of the strong-interaction 1s level shift and width, improving on SIDDHARTA by roughly a factor of two.

  3. Finding Low Star Discrepancy 3D Kronecker Point Sets Using Algorithm Configuration Techniques

    cs.NE 2026-04 unverdicted novelty 5.0 of 10

    Optimizing the two Kronecker parameters with irace yields new state-of-the-art L∞ star discrepancy for 3D point sets of size at least 500 and for ranges of sizes.

  4. Line shape analysis of $\Lambda(1405)$ in $\gamma p \rightarrow K^+\Sigma^-\pi^+$ reaction using convolutional neural network

    hep-ph 2025-06 conditional novelty 4.0 of 10

    A CNN trained on synthetic line shapes from a uniformized S-matrix classifies the CLAS Sigma-pi spectrum as the two-pole Lambda(1405) structure on the second Riemann sheet.

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