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General Lorentz-invariant representation of NN scattering amplitudes

Journal Article · · Phys. Rev. C; (United States)
;
A Lorentz-invariant representation for NN scattering amplitudes is derived. The general NN representation assuming parity invariance involves 128 amplitudes for a given isospin, all but 8 of which involve negative energy projection operators and therefore possess vanishing matrix elements in positive energy states. When charge symmetry and time-reversal invariance are taken into account, the number of independent amplitudes reduces to 56 for a given isospin, and this number further reduces to 44 when all particles are on mass shell. Relativistic meson theory is used to determine the negative energy terms since they cannot be determined from physical scattering data. The formalism is developed to determine the complete set of invariant amplitudes starting from partial wave t-matrix elements which arise from solving quasipotential equations for NN scattering.
Research Organization:
Institute for Theoretical Physics, 3508 TA Utrecht, The Netherlands
OSTI ID:
6387660
Journal Information:
Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 32:5; ISSN PRVCA
Country of Publication:
United States
Language:
English

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Related Subjects

645207* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. Greater than 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BARYON-BARYON INTERACTIONS
BETHE-SALPETER EQUATION
BOSONS
COUPLED CHANNEL THEORY
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
HADRON-HADRON INTERACTIONS
HADRONS
HELICITY
INTERACTIONS
INVARIANCE PRINCIPLES
ISOSPIN
LORENTZ INVARIANCE
MATRICES
MATRIX ELEMENTS
MESONS
NUCLEON-NUCLEON INTERACTIONS
OPTICAL MODELS
P INVARIANCE
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PHASE SHIFT
QUANTUM NUMBERS
RELATIVITY THEORY
S MATRIX
SCATTERING AMPLITUDES
T INVARIANCE