Solving the four-dimensional {ital NN}-{pi}{ital NN} equations for scalars below the meson-production threshold

Journal Article · Tue Oct 01 04:00:00 EDT 1996 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.54.1542· OSTI ID:385799

Phillips, D R; Afnan, I R ^[1]

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1. Department of Physics, The Flinders University of South Australia, GPO Box 2100, Adelaide 5001 (Australia)

The four-dimensional {ital NN}-{pi}{ital NN} equations are adapted to the case of scalar particles with a {phi}{sup 2}{sigma} interaction Lagrangian and solved for energies below the {sigma}-production threshold. This is achieved in the approximation where {phi}{sigma} scattering is dominated by the {ital s}-channel {phi}-pole term. The importance of the removal of double counting is investigated and a detailed comparison of the results of a covariant coupled-channel formulation and the Bethe-Salpeter equation in the ladder and ladder plus crossed-box approximations is presented. A brief discussion of the extension of the method to energies above the {sigma}-production threshold is given. {copyright} {ital 1996 The American Physical Society.}

• Research Organization: University of Maryland
• DOE Contract Number: FG02-93ER40762
• OSTI ID: 385799
• Journal Information: Physical Review, C, Journal Name: Physical Review, C Journal Issue: 4 Vol. 54; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHIRAL SYMMETRY
COUPLED CHANNEL THEORY
FEYNMAN DIAGRAM
FOUR-DIMENSIONAL CALCULATIONS
GLUONS
MESONS
NUCLEON-NUCLEON INTERACTIONS
PARTICLE PRODUCTION
PERTURBATION THEORY
PHI-1020 MESONS
PION-NUCLEON INTERACTIONS
QUANTUM CHROMODYNAMICS
QUARKS
S CHANNEL
SCALARS
SCATTERING AMPLITUDES
SCHWINGER FUNCTIONAL EQUATIONS
SIGMA PARTICLES
UNITARITY