Completeness rules for spin observables in pseudoscalar meson photoproduction

Journal Article · Tue Apr 01 04:00:00 EST 1997 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.55.2054· OSTI ID:543585

Chiang, W; Tabakin, F ^[1]

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1. Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260 (United States)

The number and type of measurements needed to ascertain the amplitudes for pseudoscalar meson photoproduction are analyzed in this paper. It is found that eight carefully selected measurements can determine the four transversity amplitudes without discrete ambiguities. That number of measurements is one less than previously believed. We approach this problem in two distinct ways: (1) solving for the amplitude magnitudes and phases directly, and (2) using a bilinear helicity product formulation to map an algebra of measurements over to the well-known algebra of the 4{times}4 gamma matrices. It is shown that the latter method leads to an alternate proof that eight carefully chosen experiments suffice for determining the transversity amplitudes completely. In addition, Fierz transformations of the gamma matrices are used to develop useful linear and nonlinear relationships between the spin observables. These relationships not only help in finding complete sets of experiments, but also yield important constraints between the 16 observables for this reaction. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 543585
• Journal Information: Physical Review, C, Journal Name: Physical Review, C Journal Issue: 4 Vol. 55; ISSN PRVCAN; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
AMPLITUDES
HELICITY
PHOTOPRODUCTION
PSEUDOSCALAR MESONS
SPIN
TRANSFORMATIONS