Two Problems in the Production of Mesons

MacDonald, N (1960) Two Problems in the Production of Mesons. PhD thesis, University of Glasgow.

Abstract

Part I deals with the problem of the interaction of the meson with the nucleons in the photoproduction of a charged pi meson at deuterium. This is considered as multiple scattering of the meson at alternate nucleons. Earlier work on this problem, and on the multiple scattering correction to the impulse approximation in similar problems, is reviewed. To avoid having to use the meson-nucleon scattering transition operator off the energy shell an approximation, taken from the earlier work, is used. The meaning of this approximation is discussed. In the case of a particular model of meson-nucleon scattering, based on a factorable potential, an estimate is made of the accuracy of this approximation. In obtaining the cross-section the Interaction of the nucleons is included when they are in a final state with ℓ=o. Results are presented illustrating the behaviour of the meson energy spectrum at a particular angle and photon energy. This has a broad peak around the energy of the meson produced at the same angle from a free nucleon, and a narrow peak near the maximum meson energy, caused by the final state interaction of the nucleons, and important only at forward angles. The multiple scattering correction is -4% to -8% on the free nucleon peak, rising to about -20% on the interaction peak at forward angles# The conclusion is reached that with the present experimental accuracy the multiple scattering correction will not in general affect the interpretation of the experimental results using the impulse approximation.

• Item Type: Thesis (PhD)
• Qualification Level: Doctoral
• Keywords: Nuclear physics and radiation, High energy physics
• Date of Award: 1960
• Depositing User: Enlighten Team
• Unique ID: glathesis:1960-79323
• Copyright: Copyright of this thesis is held by the author.
• Date Deposited: 05 Mar 2020 10:45
• Last Modified: 05 Mar 2020 10:45
• URI: https://theses.gla.ac.uk/id/eprint/79323