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

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

2010-10-24

arxiv.org/abs/1010.4978v2

Phys. Rev. C83:055208,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 2 figures

Scientific paper

10.1103/PhysRevC.83.055208

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.

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