DIFFERENTIAL CROSS SECTION ANALYSIS IN KAON PHOTOPRODUCTION USING ASSOCIATED LEGENDRE POLYNOMIALS
Angular distributions of differential cross sections from the latest CLAS data sets,6 for the reaction γ + p→K+ + Λ have been analyzed using associated Legendre polynomials. This analysis is based upon theoretical calculations in Ref. 1 where all sixteen observables in kaon photoproduction can be classified into four Legendre classes. Each observable can be described by an expansion of associated Legendre polynomial functions. One of the questions to be addressed is how many associated Legendre polynomials are required to describe the data. In this preliminary analysis, we used data models with different numbers of associated Legendre polynomials. We then compared these models by calculating posterior probabilities of the models. We found that the CLAS data set needs no more than four associated Legendre polynomials to describe the differential cross section data. In addition, we also show the extracted coefficients of the best model.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- AC05-06OR23177
- OSTI ID:
- 979059
- Report Number(s):
- JLAB-PHY-09-946; DOE/OR/23177-0720; TRN: US1003085
- Journal Information:
- Mod.Phys.Lett.A, Vol. 24; Conference: 4th Asia-Pacific Conference on Few-Body Problems in Physics 2008 (APFB 08), Depok, Indonesia, 19-23 Aug 2008
- Country of Publication:
- United States
- Language:
- English
Similar Records
Analysis of the consistency of kaon photoproduction data with {lambda} in the final state
Induced polarization of in kaon electroproduction