UBC Theses and Dissertations

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UBC Theses and Dissertations

Part I : a simple model of the hypertriton. Part II : muon capture by 3He Congleton, J.G.


The thesis is in two parts. Part I is covered in chapters 1 and 2 and concerns a simple model of the hypertriton developed by the author. The model is based on the fact that the lambda particle is loosely bound and so a lambda-inert core approach should be reasonable. The core is taken to be exactly like the free deuteron and a separable AN potential is used to construct the binding potential for the A particle. The model is tested in chapter 2 by calculating the ratio of two body to all pionic decay rates of the hypertriton and the result is found to agree well with experiment. Chapters 3 to 7 concern muon capture by 3He. Using the elementary particle model it is shown that the spin observables for quasi-elastic muon capture by 3He are much more sensitive to the nuclear pseudoscalar form factor ( and hence the nucleon pseudoscalar form factor ) than is the rate. Reliable and sophisticated wavefunctions for 3He and are then used to find the muon capture Hamiltonian in the impulse approximation. The result differs from that found in the elementary particle model in that the magnetic ( and dominant ) part of the Hamiltonian lacks strength. In chapter 5 new theory is developed for the muon wavefunction overlap reduction factor leading to the result C = 0.979. Chapter 6 details a calculation of muon capture by 3He leading to the deuteron neutron break-up final state in the plane wave impulse approximation. Finally, the processes leading to muonic atom formation are considered in chapter 7 with particular reference to final hyperfine population densities and their dependencies on target and beam polarization. It is shown that if only the intra-atomic processes are included, the results for the hyperfine population densities are unreliable.

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