Optimally simple connection between the reaction matrix and the observables. [P invariance constraints]

Journal Article · Sat May 01 04:00:00 EDT 1976 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(76)90241-4· OSTI ID:7266790

Goldstein, G R; Moravcsik, M J

A class of optimal formalisms is derived to describe in the simplest possible way the relationship between the amplitudes of an arbitrary four-particle reaction and the experimental observables for that reaction. Within the optimal class (which includes none of the currently used formalisms) there are an infinite number of realizations depending on coordinate systems and quantization axes. The matrix connecting the bilinear combinations of amplitudes and the experimental observables (the X-matrix) for the optimal class consists only of small submatrices along the main diagonal, the maximum sizes of which are independent of the values of the spins involved. Two examples are worked out in detail: 1/2+0..-->..1/2+0 and 1+1/2..-->..0+1/2, and it is shown that the optimal prescription in conjunction with quantization along the normal of the reaction plane gives an unprecedentedly simple X-matrix as well as constraints among the observables imposed by parity conservation, which are also maximally simple. The advantages of the new class of formalisms are enumerated for the purposes of studies of high energy and nuclear reactions. (AIP)

• Research Organization: Department of Physics, Tufts University, Medford, Massachusetts 02155
• OSTI ID: 7266790
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 98:1; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645206* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. = 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BOUNDARY CONDITIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
INVARIANCE PRINCIPLES
MATRICES
MECHANICS
MESON-BARYON INTERACTIONS
P INVARIANCE
PARTICLE INTERACTIONS
PARTICLE KINEMATICS
POLARIZATION
QUANTUM MECHANICS
S MATRIX
SCATTERING
SCATTERING AMPLITUDES