Analytic approximation of. pi pi. -scattering phase-shift curves with the aid of the Roy equations
Journal Article
·
· Sov. J. Nucl. Phys. (Engl. Transl.); (United States)
OSTI ID:6572337
The optimum S/sub 0/-wave scattering lengths a/sup 0//sub 0/ are determined from the experimental S- and P-wave phase shifts from threshold to 1050 MeV and from Roy's equations, and found to be in the range (0.22--0.27) m/sup -1//sub ..pi../. Also calculated are the S- and P-wave amplitudes that satisfy the unitarity, analyticity, and crossing-symmetry requirements and agree with the experimental data. The behavior of the partial waves in the unphysical region -4< or =s< or =4 is obtained. The positions of the S-wave subthreshold zeros are found to be s/sub 0/ = -0.2 and s/sub 2/ = 2.5 for the S/sub 0/ and S/sub 2/ waves, respectively. An attempt is made to resolve the ''up-down'' ambiguity, and the ''down'' solution is found to be preferable.
- Research Organization:
- I. V. Kurchatov Institute of Atomic Energy
- OSTI ID:
- 6572337
- Journal Information:
- Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 35:4; ISSN SJNCA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645205* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. = 0-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CROSSING SYMMETRY
DIMENSIONS
ELASTIC SCATTERING
ENERGY RANGE
HADRON-HADRON INTERACTIONS
INTERACTIONS
LENGTH
MESON-MESON INTERACTIONS
MEV RANGE
MEV RANGE 100-1000
PARTIAL WAVES
PARTICLE INTERACTIONS
PHASE SHIFT
PION-PION INTERACTIONS
S WAVES
SCATTERING
SCATTERING LENGTHS
SYMMETRY
UNITARITY
Baryon No. = 0-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CROSSING SYMMETRY
DIMENSIONS
ELASTIC SCATTERING
ENERGY RANGE
HADRON-HADRON INTERACTIONS
INTERACTIONS
LENGTH
MESON-MESON INTERACTIONS
MEV RANGE
MEV RANGE 100-1000
PARTIAL WAVES
PARTICLE INTERACTIONS
PHASE SHIFT
PION-PION INTERACTIONS
S WAVES
SCATTERING
SCATTERING LENGTHS
SYMMETRY
UNITARITY