# Dipion production in a 4 GeV/c pi[plus] d experiment

Woodworth, Philip Leslie (1974). Dipion production in a 4 GeV/c pi[plus] d experiment. University of Birmingham. Ph.D.

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## Abstract

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.

Type of Work: Thesis (Doctorates > Ph.D.)
Award Type: Doctorates > Ph.D.
Supervisor(s):
Supervisor(s)EmailORCID
Colley, D.C.UNSPECIFIEDUNSPECIFIED
Kinson, J.B.UNSPECIFIEDUNSPECIFIED