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Durham e-Theses
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The proton, pion and omega final state produced by 11.7 Gev pions in hydrogen

Afzal, Muhammad (1974) The proton, pion and omega final state produced by 11.7 Gev pions in hydrogen. Doctoral thesis, Durham University.

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Abstract

This thesis contains an account of the pwn(^+) final state produced by the interaction of 11.7 GeV/c π(^+) mesons in a hydrogen bubble chamber. 1 event for 4-prong DST = 0.17 µb. The total cross sections for 4-prong 1Cπº events and for the pwπ(^+) final state respectively are 1.31 ± 0.13 mb and 0.134 ± 0.O13 mb. These cross sections vary as a power of incident momentum with exponents of 0.82 and 1.41 respectively. For the reaction π(^+)p → wΛ(^++), values of mass and width of the Δ(^++) and total cross-section σ(π(^+)p → wΔ(^++)) respectively are 1234 ± 8 MeV/c(^2), 122 ± 32 MeV/c(^2) and 53 ± 10 µb. The cross-section decreases with the incident momentum as p(^-n)(_inc) with n = 1,85. The dσ/d|t| and dσ/d|t'| distributions show dips at |t| (or |t'|) = O and = 0.6 (GeV/c)(^2). The slope of the differential cross sections is = 4 GeV(^-2). The predictions on the density matrix elements disagree with the experimental results. There are dips at |t| = O and = 0.5 (GeV/c)(^2) for the natural parity contribution and a dip appears at |t| = 0.2 (GeV/c)(^2) for the unnatural component. Most of the values of the double statistical tensors are compatible with zero. A qualitative theoretical discussion of the results is presented. For the reaction π(^+)p → pB(^+), values of mass, width and total cross-section of the B(+) respectively are 1235 ± 12 MeV/c(^2), 120 ± 48 MeV/c(^2) and 21 ± 6 µb. The cross-section decreases with the incident momentum as p(^-n)(_inc) with n about 1.5. The slope of the differential cross-section is = 4 GeV(^-2). The helicity amplitude for the wº, |f(_o)|(^2) = 0.09 ± 0.07 which disagrees with the prediction of a simple quark model. The values of <J(^2)(_z)> favour J(^P) =1(^+) or 2(^+) but disfavour J = 3 for the B. Assuming J(^P) = 1(^+) assignment, the density matrix elements show that the B(^+) is weakly aligned both in the t- and the s-channel helicity frames. There is no evidence for the production of the higher mass Δ(^++) or higher mesons decaying into wπ(^+) or any resonance decaying into wp.

Item Type:Thesis (Doctoral)
Award:Doctor of Philosophy
Thesis Date:1974
Copyright:Copyright of this thesis is held by the author
Deposited On:18 Sep 2013 16:00

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