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pi. pi. scattering by pole extrapolation methods. [2. 67 GeV/c, angular distribution, Chew-Low and Durr-Pilkum methods, OPE model, isospin]

Technical Report ·
DOI:https://doi.org/10.2172/5201007· OSTI ID:5201007

A 25-inch hydrogen bubble chamber was used at the Lawrence Berkeley Laboratory Bevatron to produce 300,000 pictures of ..pi../sup +/p interactions at an incident momentum of the ..pi../sup +/ of 2.67 GeV/c. The 2-prong events were processed using the FSD and the FOG-CLOUDY-FAIR data reduction system. Events of the nature ..pi../sup +/p ..-->.. ..pi../sup +/p..pi../sup 0/ and ..pi../sup +/p ..-->.. ..pi../sup +/..pi../sup +/n with values of momentum transfer to the proton of -t less than or equal to 0.238 GeV/sup 2/ were selected. These events were used to extrapolate to the pion pole (t = m/sub ..pi..//sup 2/) in order to investigate the ..pi.. ..pi.. interaction with isospins of both T = 1 and T = 2. Two methods were used to do the extrapolation: the original Chew-Low method developed in 1959 and the Durr-Pilkuhn method developed in 1965 which takes into account centrifugal barrier penetration factors. At first it seemed that, while the Durr-Pilkuhn method gave better values for the total ..pi.. ..pi.. cross section, the Chew-Low method gave better values for the angular distribution. Further analysis, however, showed that if the requirement of total OPE (one-pion-exchange) were dropped, then the Durr-Pilkuhn method gave more reasonable values of the angular distribution as well as for the total ..pi.. ..pi.. cross section.

Research Organization:
California Univ., Berkeley (USA). Lawrence Berkeley Lab.
DOE Contract Number:
W-7405-ENG-48
OSTI ID:
5201007
Report Number(s):
LBL-7238
Country of Publication:
United States
Language:
English