A bubble chamber experiment is described using data from the C.E.R.N. 2m bubble chamber filled with deuterium and exposed to a 4 GeV/c \(π^+\) beam. Measurements are presented of the U.5. \(π^+\) beam momentum, and the level of contamination in the beam is estimated. A brief review is given of the computer programs used in the processing of 2m bubble chamber film for physics analysis. The channel \(π^+d \rightarrow p_s p π^+ π^- ( \sigma = 2.10^±0.17m b) \) (1) is investigated and cross sections are obtained for the quasi-two-body reactions \(π^+d \rightarrow p_s p \rho^0 ( \sigma = 1.21^±0.16m b) \) (2) and \(π^+d \rightarrow p_a p f^0 ( \sigma = 0.53^±0.06m b) \) (3) An Estabrooks and Martin amplitude analysis is made of reaction (2) using 5279 events from the mass interval \(0.68<M_{ππ} < 0.88 GeV/c^2 \) Results are presented on the spin structure and production mechanism of the \(\rho^0\) meson. A comparison is made of the results of this analysis with those of a higher energy \(π^-p\) experiment and the predictions of an π exchange absorption model. The isospin zero S wave ππ scattering phase shifts are obtained for ππ effective mass less than 1 4 GeV/c². Evidence is presented favouring a set of phase shifts rising slowly through the rho region to be 90° at about 900 MeV/c² in ππ effective mass. An investigation is also made of the branching ratios of the \(f^0\) meson into final states other than \(π^+π^-\). These include \(π^+d \rightarrow p_s p K^+ K^-\) (4) \(π^+d \rightarrow p_s p 2π^+ 2π^-\) (5) \(π^+d \rightarrow p_s p 2π^+ 2π^- π^0\) (6) \(π^+d \rightarrow p_s p π^+ π^- M M\) (7) \(π^+d \rightarrow p_s p 2π^+ 2π^- M M\) (8) where M M indicates missing particles. Evidence is presented for f° decay into channels (4) and (5) and the decay rates are measured.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:761248 |
| Date | January 1974 |
| Creators | Woodworth, Philip Leslie |
| Publisher | University of Birmingham |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | http://etheses.bham.ac.uk//id/eprint/8758/ |
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