A Genetic Algorithm Analysis of N* Resonances in $p(\gamma ,K^{+})\Lambda$ Reactions

Abstract

The problem of extracting information on new and known $N^{\ast }$ resonances by fitting isobar models to photonuclear data is addressed. A new fitting strategy, incorporating a genetic algorithm, is outlined. As an example, the method is applied to a typical tree-level analysis of published $p(\gamma ,K^{+})\Lambda$ data. It is shown that, within the limitations of this tree-level analysis, a resonance in addition to the known set is required to obtain a reasonable fit. An additional $P_{11}$ resonance, with a mass of about 1.9 GeV, gives the best agreement with the published data, but additional $S_{11}$ or $D_{13}$ resonances cannot be ruled out. Our genetic algorithm method predicts that photon beam asymmetry and double polarization $p(\gamma ,K^{+})\Lambda$ measurements should provide the most sensitive information with respect to missing resonances.

34 pages, 11 figures; Revised version accepted for publication by Nuclear Physics A

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• Differential Cross Sections for gamma + p --> K+ + Y for Lambda and Sigma0 Hyperons
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• First Measurement of Beam-Recoil Observables Cx and Cz in Hyperon Photoproduction
• A coupled-channel analysis of $K\Lambda$ production in the nucleon resonance region
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• Regge-plus-resonance treatment of the p(gamma,K^+)Sigma^0 and p(gamma,K^0)Sigma^+ reactions at forward kaon angles
• Novel approaches in Hadron Spectroscopy
• Bayesian inference of the resonance content of p(gamma,K^+)Lambda
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• Beam-Recoil Polarization Transfer in the Nucleon Resonance Region in the Exclusive $\vec{e}p\to e^{\prime }{K}^{+}\vec{\Lambda }$ and $\vec{e}p\to e^{\prime }{K}^{+}{\vec{\Sigma }}^0$ Reactions at CLAS
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• Scaling and Resonances in Elementary K^+ Lambda Photoproduction
• Unexpected impact of D waves in low-energy neutral pion photoproduction from the proton and the extraction of multipoles
• Regge-plus-resonance predictions for kaon photoproduction from the neutron
• Analysis of the quadrupole deformation of $\Delta$(1232) within an effective Lagrangian model for pion photoproduction from the nucleon
• Spin asymmetry for the 16O(gamma,pi- p) reaction in the Delta(1232) region within an effective Lagrangian approach
• Machine Learning Unveils the Power Law of Finite-Volume Energy Shifts
• Differential cross section analysis in kaon photoproduction using associated legendre polynomials
• A Simple Quark Model for γp -> K^+ Λ^0