Feshbach-Villars formalism and pion-nucleon scattering
Journal Article
·
· Phys. Rev., C; (United States)
The Feshbach-Villars Hamiltonian formulation of the Klein-Gordon equation is used as the basis for a scattering theory for relativistic, spin-zero, particles. Time dependent and time independent scattering theories are developed. The time independent theory is used as the framework for a separable potential model for ..pi..N elastic scattering in P waves. This potential leads to a ..pi..N T matrix which has the right and left hand cuts associated with two-particle unitarity and crossing, respectively, as well as the direct and crossed nucleon poles with the proper residues. The effects of nucleon recoil are included. With a particular choice of the form factors in the potential, the Chew-Low T matrix is reproduced.
- Research Organization:
- Department of Physics and Astronomy, State University of New York at Buffalo, Amherst, New York 14260
- OSTI ID:
- 5470266
- Journal Information:
- Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 21:4; ISSN PRVCA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645206* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. = 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
DIFFERENTIAL EQUATIONS
ELASTIC SCATTERING
ENERGY DEPENDENCE
ENERGY RANGE
EQUATIONS
FORM FACTORS
HADRON-HADRON INTERACTIONS
HAMILTONIANS
INTERACTIONS
ISOSPIN
KLEIN-GORDON EQUATION
MATHEMATICAL OPERATORS
MATRICES
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
P WAVES
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PION-NUCLEON INTERACTIONS
PROPAGATOR
QUANTUM OPERATORS
RECOILS
RELATIVISTIC RANGE
S MATRIX
SCATTERING
SPIN
TIME DEPENDENCE
UNITARITY
WAVE EQUATIONS
Baryon No. = 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
DIFFERENTIAL EQUATIONS
ELASTIC SCATTERING
ENERGY DEPENDENCE
ENERGY RANGE
EQUATIONS
FORM FACTORS
HADRON-HADRON INTERACTIONS
HAMILTONIANS
INTERACTIONS
ISOSPIN
KLEIN-GORDON EQUATION
MATHEMATICAL OPERATORS
MATRICES
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
P WAVES
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PION-NUCLEON INTERACTIONS
PROPAGATOR
QUANTUM OPERATORS
RECOILS
RELATIVISTIC RANGE
S MATRIX
SCATTERING
SPIN
TIME DEPENDENCE
UNITARITY
WAVE EQUATIONS