Low-energy pion-pion scattering and pion electromagnetic vertex functions

Thesis/Dissertation · Wed Jan 01 00:00:00 EST 1986

OSTI ID:6316499

Erkal, C

A two-channel N/D method is used to analyze the ..pi pi.. scattering p-wave phase shift and inelasticity data up to 2 GeV c.m. energy. They show that if the inelastic scattering of the pions is represented by the second quasi-two-body channel, a two-channel parameterization with two subtractions provides an excellent representation of the data. In addition, the correct p-wave scattering length is obtained in agreement with dispersive sum rules. The same two-channel model is used to construct 2..pi.. and 4..pi.. electromagnetic form factors. They find that a good representation of the pion form factor can be achieved but only at the expense of the F/sub 4..pi../ form factor. It seems to be difficult to reconcile all of the data in the rho (1600) region within a two resonance framework indicating additional rho-like resonant structure in this energy region. A minimal multichannel N/D model which can describe the pion-pion scattering processes (..pi pi.. ..-->.. ..pi pi.., ..pi../sup 0/omega, 4..pi..) has three channels one of which is nonresonant. N and D are parameterized in the channel space as 3 x 3 matrices. The matrix elements N/sub ij/ and D/sub ij/ are represented by a dispersion relation. The pion form factors and pion-pion elastic scattering amplitude are obtained from the model and compared to the existing data to reveal the resonance structure in the p-wave amplitude up to ..sqrt..s = 2 GeV c.m. energy.

• Research Organization: Wisconsin Univ., Madison (USA)
• OSTI ID: 6316499
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
PION-PION INTERACTIONS
SCATTERING
PIONS
FORM FACTORS
COUPLED CHANNEL THEORY
DISPERSION RELATIONS
GEV RANGE
MATRIX ELEMENTS
PHASE SHIFT
RESONANCE
RHO-1250 RESONANCES
RHO-1600 RESONANCES
RHO-765 RESONANCES
SCATTERING AMPLITUDES
THEORETICAL DATA
VERTEX FUNCTIONS
AMPLITUDES
BOSONS
DATA
ELEMENTARY PARTICLES
ENERGY RANGE
FUNCTIONS
HADRON-HADRON INTERACTIONS
HADRONS
INFORMATION
INTERACTIONS
MESON-MESON INTERACTIONS
MESONS
NUMERICAL DATA
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PSEUDOSCALAR MESONS
645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties
653003 - Nuclear Theory- Nuclear Reactions & Scattering