Determining pseudoscalar meson photoproduction amplitudes from complete experiments

Journal Article · Sun May 01 04:00:00 EDT 2011 · J.Phys.G

DOI:https://doi.org/10.1088/0954-3899/38/5/053001· OSTI ID:1013248

In preparation for a new generation of complete experiments with the goal of performing a high precision extraction of pseudoscalar meson photo-production amplitudes, we present expressions that allow the direct numerical calculation of matrix elements with arbitrary spin projections from Chew-Goldberger-Low-Nambu (CGLN) amplitudes. We use this numerical tool to verify the most general analytic form of the cross section, dependent upon the three polarization vectors of the beam, target and recoil baryon, including all single, double and triple-polarization terms involving 16 spin-dependent observables. Analytic expressions that determine the recoil baryon polarization are presented, together with examples of their potential use with quasi-4? detectors to deduce observables. We assemble the analytic equations relating the 16 experimental observables and the CGLN amplitudes and use our independent method of numerical evaluation to resolve sign differences that exist in the literature.

• Research Organization: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: AC05-06OR23177
• OSTI ID: 1013248
• Report Number(s): JLAB-THY-10-1268; DOE/OR/23177-1439; arXiv:1010.4555
• Journal Information: J.Phys.G, Journal Name: J.Phys.G Journal Issue: 5 Vol. 38; ISSN 0954-3899; ISSN JPGPED
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACCURACY
AMPLITUDES
BARYONS
CROSS SECTIONS
EVALUATION
MATRIX ELEMENTS
PHOTOPRODUCTION
POLARIZATION
PSEUDOSCALAR MESONS
SPIN
TARGETS
VECTORS