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PCAC, dynamical theory and dispersion relations. [Divergence of axial vector current as canonical pion field]

Technical Report ·
DOI:https://doi.org/10.2172/6626524· OSTI ID:6626524
;
Forward dispersion relations are used to test a dynamical theory of ..pi..N interaction based on the use of the divergence of the axial vector current as the canonical pion field, the notion of sigma-commutator and the assumption that the seagull term in the low expansion of the scattering amplitude is purely isoscalar. Most of the parameters of the dynamical theory have been fixed by an earlier work on low energy S wave phase shifts. The theory is used to calculate the scattering lengths and the amplitude anti C/sup (+)/ (0,0) used as subtraction constants. These values and f/sup 2/ = 0.0725, fixed mainly by the Goldberger-Treiman relation, are then used in the forward dispersion relations to yield values of cross section integrals J, I/sup (+)/ and I/sup (-)/. The test consists of comparing these values with those obtained from the usual dispersion theoretic analysis of scattering data. The theory passes the test satisfactorily. This success, coupled with the earlier successes in fitting the low energy phase shifts and the anti C/sup (+-)/ (0,t less than 0) amplitudes for small t, provides very strong support for the present theory. 15 references.
Research Organization:
University of Maryland, College Park, MD
Sponsoring Organization:
USDOE
DOE Contract Number:
EY-76-S-05-5126
OSTI ID:
6626524
Report Number(s):
ORO-5126-46
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
ALGEBRAIC CURRENTS
AMPLITUDES
AXIAL-VECTOR CURRENTS
BOSONS
CROSS SECTIONS
CURRENTS
DISPERSION RELATIONS
ELEMENTARY PARTICLES
EQUATIONS
GOLDBERGER-TREIMAN RELATION
HADRON-HADRON INTERACTIONS
HADRONS
INTEGRALS
INTERACTIONS
LOW EQUATION
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
MESONS
PARTICLE INTERACTIONS
PCAC THEORY
PION-NUCLEON INTERACTIONS
PIONS
PSEUDOSCALAR MESONS
SCATTERING AMPLITUDES
SCATTERING LENGTHS