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Does size matter? Exploring the viability of measuring the charge radius of the first excited nuclear state in muonic zirconium

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dc.contributor.author Wilkinson-Zan, Benjamin
dc.date.accessioned 2020-08-26T05:10:53Z
dc.date.available 2020-08-26T05:10:53Z
dc.date.copyright 2020 en_US
dc.date.issued 2020-08-25
dc.identifier.uri http://hdl.handle.net/1828/12029
dc.description.abstract From the point of view of the electromagnetic interaction, empirical descriptions of the nucleus involve only a few parameters, one of the most important being the nuclear charge radius. This has been well measured for ground state nuclei, but it is difficult to measure for excited states, since they decay too quickly for conventional methods to be used. We study the atomic transitions in muonic ^{90}Zr and find that the nuclear charge radius of the first excited state can be inferred by measuring the gamma emissions from certain transitions. We find that with 1keV photon resolution, we can infer a difference between the charge radius of the nuclear ground state and first excited state as small as 0.13%. We will work in units where h = c = 4\pi\epsilon_0 = 1 so that e^2 = \alpha \approx 1/137 (unless otherwise specified). Mass, momentum, and energy will have units of eV, whereas distances will be given in eV^{-1}. In qualitative discussion, we will sometimes revert to discussing distances in meters due to the familiarity of typical scales (e.g. nuclear radius, Bohr radius). When working with 4-vectors in Minkowski space, we use the metric convention (+,-,-,-). en_US
dc.language English eng
dc.language.iso en en_US
dc.rights Available to the World Wide Web en_US
dc.subject Physics en_US
dc.subject Nuclear Physics en_US
dc.subject Atomic Physics en_US
dc.subject Muon en_US
dc.subject Muonic Zirconium en_US
dc.subject Zirconium en_US
dc.subject Electric Monopole en_US
dc.subject Two Photon en_US
dc.subject Magnetic Dipole en_US
dc.subject Excited Nuclear State en_US
dc.subject Nuclear Charge Radius en_US
dc.title Does size matter? Exploring the viability of measuring the charge radius of the first excited nuclear state in muonic zirconium en_US
dc.type Thesis en_US
dc.contributor.supervisor Pospelov, Maxim
dc.degree.department Department of Physics and Astronomy en_US
dc.degree.level Master of Science M.Sc. en_US
dc.description.scholarlevel Graduate en_US


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