Summary: | <p>This thesis contains an analysis of the two reactions,</p> <ul> <li>K<sup>+</sup>p → K<sup>+</sup>π<sup>+</sup>π<sup>−</sup>p; and</li> <li>K<sup>+</sup>p → K<sup>0</sup>π<sup>+</sup>π<sup>0</sup>p</li> </ul> <p>at an incident K<sup>+</sup> momentum of 10 GeV/c, which were observed in the C.E.R.N. 2m Hydrogen Bubble Chamber.</p> <p>The resonances Δ<sup>++</sup>(1236), K<sup>*0</sup>(890) and K<sup>*0</sup>(1420) are strongly produced in these data. To investigate the possible existence of a scalar K<sub>N</sub>(1100) resonance, calculations were performed on the K<sup>*0</sup> – Δ<sup>++</sup>(1236), quasi two-body state, using modified one-pion-exchange formulae. The presence of a large I = <sup>1</sup>⁄<sub>2</sub>, s-wave phase shift in the region of 1.1 GeV/c<sup>2</sup> is indicated but is not required to be resonant.</p> <p>The enhancement between 1.2 and 1.45 GeV/c<sup>2</sup> in Kππ mass, present in these data, is determined to have a dominant spin-parity of 1<sup>+</sup> throughout. Evidence for two 1<sup>+</sup> resonances in this mass region is obtained from an analysis of the variations, with mass, of the decay properties of this system.</p> <p>A low mass pππ enhancement is present in the data from K<sup>+</sup>π<sup>+</sup>π<sup>−</sup>p final state, only. A study of the production and decay characteristics of this system would seem to suggest that it is composed of the I = <sup>1</sup>⁄<sub>2</sub> resonances in the spin-parity series <sup>1</sup>⁄<sub>2</sub><sup>+</sup>, <sup>3</sup>⁄<sub>2</sub><sup>−</sup>, <sup>5</sup>⁄<sub>2</sub><sup>+</sup>, known from elastic π-p phase shift analyses.</p>
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