A COUPLED CHANNEL ANALYSIS OF PION-PION SCATTERING UTILIZING DATA FROM A TRIGGERED HYBRID BUBBLE CHAMBER EXPERIMENT

ALLAN ROBERT MOSER, Purdue University

Abstract

Data from a triggered hybrid bubble chamber experiment for the unusual hadronic process, ('(pi)+)p(--->)K('+)K('-)(pi)('+)p at 11.46 GeV/c, are presented and discussed. The cross section for this reaction was found to be 84.9 (+OR-) 7.9 (mu)b. Resonance production of (DELTA)('++)(1232), f(1270), A(,2)(1310), and K('*)(890) dominate this interaction. Additionally, the sharp onset exhibited in the (K('+),K('-)) threshold indicates the production of S('*)(980). Data from this experiment as well as data from an untriggered experiment for the reaction, ('(pi)+)p (--->)('(pi)+)(pi)('-)(pi)('+)p, were applied to a coupled channel analysis of pion-pion scattering for the energy range from 600 to 1400 MeV. Both energy independent and energy dependent parameterizations were developed; the former using phase shift and inelasticity parameters in (TAU)-Matrix amplitudes, and the latter adopting a K-Matrix formalism. Experimental angular distributions were fitted with a maximum likelihood technique. The amplitudes determined in the analysis were used to extract phase shifts, inelasticities, and pole positions for each partial wave. Resonance parameters found for the S('*)(980) were, m(,S)('*) = 986 (+OR-) 3 MeV/c('2) and (GAMMA)(,S)* = 56 (+OR-) 4 MeV/c('2), and for the (epsilon)(1300), m(,(epsilon)) = 1374 (+OR-) 10 MeV/c('2) and (GAMMA)(,(epsilon)) = 304 (+OR-) 18 MeV/c('2).

Degree

Ph.D.

Subject Area

Particle physics

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