Use of. pi. p. --> pi pi. N reactions to study. pi pi. scattering in the elastic-interaction region

Journal Article · Thu Apr 01 04:00:00 EST 1982 · Sov. Phys. - JETP (Engl. Transl.); (United States)

OSTI ID:6557451

Alekseeva, E A; Kartamyshev, A A; Makar'in, V K; Mukhin, K N; Patarakin, O O; Sulkovskaya, M M; Sustavov, A F; Surkova, L V; Chernysheva, L A

..pi pi.. scattering is investigated in the region where it can be regarded as elastic. Information is used on four different channels of a reaction of the type ..pi..p..--> pi pi..N. A single procedure is used to obtain for all the essential ..pi pi..-scattering phase shifts in the investigated region, delta/sub 0/ /sup 0/ , delta/sub 0/ /sup 2/ , delta/sub 1//sup 1/ , delta/sub 2/ /sup 0/ , and delta/sub 2/ /sup 2/ , values that are in good agreement with one another. A continuous plot of delta/sub 0/ /sup 0/ from threshold to 980 MeV is obtained. It is shown that it is incorrect to apply the effective-radius approximation to S-wave phase shifts at m/sub pipi/> or =400 MeV. The hypothesis that close near-threshold zeros are present in the S-wave amplitudes is proved experimentally. The positions of the zeros are found. Analytic, unitary, and crossing-symmetry partial ..pi pi.. amplitudes are determined, which satisfy the Roy equations and agree well with the phase-shift-analysis results. It is concluded that the lower ''down'' solution is preferable for the delta/sub 0/ /sup 0/ phase shift. The scattering lengths of the S, P, and D waves are obtained.

• Research Organization: I. V. Kurchatov Institute of Atomic Energy
• OSTI ID: 6557451
• Journal Information: Sov. Phys. - JETP (Engl. Transl.); (United States), Journal Name: Sov. Phys. - JETP (Engl. Transl.); (United States) Vol. 55:4; ISSN SPHJA
• Country of Publication: United States
• Language: English

Related Subjects

645205* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. = 0-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
CROSSING SYMMETRY
DIMENSIONS
ELASTIC SCATTERING
ENERGY RANGE
HADRON-HADRON INTERACTIONS
INTERACTIONS
LENGTH
MANDELSTAM REPRESENTATION
MESON-BARYON INTERACTIONS
MESON-MESON INTERACTIONS
MESON-NUCLEON INTERACTIONS
MEV RANGE
MEV RANGE 100-1000
PARTICLE INTERACTIONS
PHASE SHIFT
PION-NUCLEON INTERACTIONS
PION-PION INTERACTIONS
PION-PROTON INTERACTIONS
SCATTERING
SCATTERING AMPLITUDES
SCATTERING LENGTHS
SYMMETRY