Bayesian model selection for electromagnetic kaon production on the nucleon

Details Bayesian model selection for electromagnetic kaon production on the nucleon Bayesian model selection for electromagnetic kaon production on the nucleon

2010-04-02

arxiv.org/abs/1004.0353v2

Phys.Lett.B694:33-37,2010

Physics

Nuclear Physics

Nuclear Theory

13 pages, 4 figures

Scientific paper

10.1016/j.physletb.2010.09.026

We present the results of a Bayesian analysis of a Regge model to describe the background contribution for K+ Lambda and K+ Sigma0 photoproduction. The model is based on the exchange of K+(494) and K*+(892) trajectories in the t-channel. We utilise the Bayesian evidence Z to determine the best model variant for each channel. The Bayesian evidence integrals were calculated using the Nested Sampling algorithm. For different prior widths, we find decisive Bayesian evidence (\Delta ln Z ~ 24) for a K+ Lambda photoproduction Regge model with a positive vector coupling and a negative tensor coupling constant for the K*+(892) trajectory, and a rotating phase factor for both trajectories. Using the chi^2 minimisation method, one could not draw this conclusion from the same dataset. For the K+ Sigma0 photoproduction Regge model, on the other hand, the difference between the evidence integrals is insufficient to pinpoint one model variant.

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