Polarization observables in the longitudinal basis for pseudo-scalar meson photoproduction using a density matrix approach

Abstract

The complete expression for the intensity in pseudo-scalar meson photoproduction with a polarized beam, target, and recoil baryon is derived using a density matrix approach that offers great economy of notation. A Cartesian basis with spins for all particles quantized along a single direction, the longitudinal beam direction, is used for consistency and clarity in interpretation. A single spin-quantization axis for all particles enables the amplitudes to be written in a manifestly covariant fashion with simple relations to those of the well-known CGLN formalism. Possible sign discrepancies between theoretical amplitude-level expressions and experimentally measurable intensity profiles are dealt with carefully. Our motivation is to provide a coherent framework for coupled-channel partial-wave analysis of several meson photoproduction reactions, incorporating recently published and forthcoming polarization data from Jefferson Lab.

11 pages, 2 figures

References in corpus (14)

• Differential Cross Sections for gamma + p --> K+ + Y for Lambda and Sigma0 Hyperons
• Completeness Rules for Spin Observables in Pseudoscalar Meson Photoproduction
• The gamma + p to K+ + Lambda and gamma + p to K+ + Sigma0 reactions at forward angles with photon energies from 1.5 to 2.4 GeV
• Differential cross section and recoil polarization measurements for the gamma p to K+ Lambda reaction using CLAS at Jefferson Lab
• First Measurement of Beam-Recoil Observables Cx and Cz in Hyperon Photoproduction
• Photo- and Electroproduction of Eta Mesons
• Beam polarization asymmetries for the p(gamma,K+)Lambda and p(gamma,K+)Sigma0 reactions at Egamma=1.5-2.4 GeV
• Differential cross sections for the reactions gamma p-> p eta and gamma p -> p eta-prime
• Determining pseudoscalar meson photo-production amplitudes from complete experiments
• Differential cross sections and recoil polarizations for the reaction gamma p -> K+ Sigma0
• Measurement of beam-recoil observables Ox, Oz and target asymmetry for the reaction gamma p -> K Lambda
• Spin observables and spin structure functions: inequalities and dynamics
• Measurement of the $\vec{\gamma }p\to K^{+}\Lambda$ Reaction at Backward Angles
• Information Content of Polarization Measurements

Cited by in corpus (6)

• Nucleon resonances within a dynamical coupled-channels model of pi N and gamma N reactions
• Photoproduction of $\Lambda$ and ${\Sigma }^0$ hyperons using linearly polarized photons
• Model dependence of single-energy fits to pion photoproduction data
• Model discrimination in pseudoscalar-meson photoproduction
• Complete experiments in pseudoscalar meson photoproduction revisited
• On the spin-observables in pseudoscalar meson photoproduction