A Bayesian analysis of kaon photoproduction with the Regge-plus-resonance model

Abstract

We address the issue of unbiased model selection and propose a methodology based on Bayesian inference to extract physical information from kaon photoproduction $p(\gamma ,K^{+})\Lambda$ data. We use the single-channel Regge-plus-resonance (RPR) framework for $p(\gamma ,K^{+})\Lambda$ to illustrate the proposed strategy. The Bayesian evidence Z is a quantitative measure for the model's fitness given the world's data. We present a numerical method for performing the multidimensional integrals in the expression for the Bayesian evidence. We use the $p(\gamma ,K^{+})\Lambda$ data with an invariant energy W > 2.6 GeV in order to constrain the background contributions in the RPR framework with Bayesian inference. Next, the resonance information is extracted from the analysis of differential cross sections, single and double polarization observables. This background and resonance content constitutes the basis of a model which is coined RPR-2011. It is shown that RPR-2011 yields a comprehensive account of the kaon photoproduction data and provides reasonable predictions for $p(e,e^{\prime }{K}^{+})\Lambda$ observables.

arXiv comment22 pages, 16 figures

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• Eta-meson production in the resonance energy region
• The impact of ${\mathbf{K}}^{+}\mathbf{\Lambda }$ photoproduction on the resonance spectrum
• Photoproduction of $K\Lambda$ on the proton
• Electroweak single-pion production off the nucleon: from threshold to high invariant masses
• Model Selection for Pion Photoproduction
• Separated Kaon Electroproduction Cross Section and the Kaon Form Factor from 6 GeV JLab Data
• Photoproduction of $\Lambda (1405)$ with the $N^{\ast }$ and $t$-channel Regge contributions
• Electromagnetic production of $K\Sigma$ on the nucleon near threshold
• Separated Structure Functions for Exclusive $K^{+}\Lambda$ and $K^{+}{\Sigma }^0$ Electroproduction at 5.5 GeV with CLAS
• Towards the Minimal Spectrum of Excited Baryons
• Photoproduction of $\Lambda$ and ${\Sigma }^0$ hyperons off protons with linearly polarized photons at $E_{\gamma }=1.5-3.0$ GeV
• $K^{+}\Lambda$ photoproduction at forward angles and low momentum transfer
• The incompleteness of complete pseudoscalar-meson photoproduction
• $N^{\ast }$ resonances from $K\Lambda$ amplitudes in sliced bins in energy
• Amplitude extraction in pseudoscalar-meson photoproduction: towards a situation of complete information
• $K^0\Lambda$ photoproduction off the neutron with nucleon resonances
• Model discrimination in pseudoscalar-meson photoproduction
• $K^{+}\Lambda$ electroproduction above the resonance region
• Pomeron, nucleon-resonance, and $(0^{+},0^{-},1^{+})$-meson contributions in $\varphi$-meson photoproduction
• Photoproduction of $K^{+}\Lambda$ with a Regge-plus-resonance model
• Photon induced K$\Lambda$ production on the proton in the low energy region
• Effects of nucleon resonances on $\eta$ photoproduction off the neutron reexamined
• Eta and kaon production in a chiral quark model
• Nucleon Resonance Structure Studies Via Exclusive KY Electroproduction
• Ridge regression for minimizing the couplings of hyperon resonances in the $K^{+}\Lambda$ photoproduction
• Kaon photoproduction from the deuteron in a Regge-plus-resonance approach
• Complete sets of observables in pseudoscalar-meson photoproduction
• The $p(\gamma ,K^{+})\Lambda$ reaction: consistent high-spin interactions and Bayesian inference of its resonance content
• Incompleteness of complete kaon photoproduction