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pi pi. phase shifts and scattering lengths in a theory with broken chiral symmetry

Journal Article · · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)
OSTI ID:6332067
; ;
The possibility of independent inclusion of the rho meson in the description of ..pi pi.. scattering is considered in a theory with broken chiral symmetry. It is shown that the rho meson gives a large contribution to the p-wave scattering length a/sup 1//sub 1/, which is found to have the value a/sup 1//sub 1/ = 0.068 +- 0.001. This value agrees with the result of extrapolation to threshold of the expression for the pion form factor with allowance for contributions from the resonances rho, rho', and ..omega... A good description of the s- and p-wave phase shifts for ..pi pi.. scattering is obtained in the range of energies from threshold to approx.800 MeV. The semiphenomenological predictions a/sup 0//sub 0/ = 0.19 +- 0.02 and a/sup 2//sub 0/ = -0.024 +- 0.004 are obtained for the s-wave scattering lengths. Allowance for the single-loop diagram leads to an increase in a/sup 0//sub 0/ by 20% and a decrease in a/sup 2//sub 0/ by a factor 2 with respect to the Born (Weinberg) values of these scattering lengths.
Research Organization:
Joint Institute for Nuclear Research
OSTI ID:
6332067
Journal Information:
Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 32:1; 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
BOSONS
CHIRAL SYMMETRY
DIMENSIONS
ELASTIC SCATTERING
ELEMENTARY PARTICLES
ENERGY RANGE
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
LENGTH
MESON RESONANCES
MESON-MESON INTERACTIONS
MESONS
MEV RANGE
MEV RANGE 100-1000
PARTICLE INTERACTIONS
PHASE SHIFT
PION-PION INTERACTIONS
RESONANCE PARTICLES
RHO-765 RESONANCES
SCATTERING
SCATTERING LENGTHS
SYMMETRY
SYMMETRY BREAKING
VECTOR MESONS