Angular Distribution of the Neutrino in Muon Capture and Nuclear Structure
- 20 September 1967
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 161 (4), 1028-1034
- https://doi.org/10.1103/physrev.161.1028
Abstract
As a result of parity nonconservation, emitted neutrinos in muon capture by spin-zero nuclei have an asymmetric angular distribution with respect to the muon-polarization axis. The asymmetry coefficient is defined by the distribution , and it is given in cases in which the final states have definite spin and parity. In the unique forbidden transitions in which the final states have spin and parity , is generally dependent on both nuclear structure and the pseudoscalar coupling constant . However, in some cases, it is almost independent of nuclear structure, so that we can study the magnitude of from the asymmetry coefficient. In the nonunique forbidden transitions in which the final states have spin and parity , is independent of , but is strongly dependent on nuclear structure. As extreme cases, is + 1 for -type and - 1 for -type giant dipole excitations, with about 2% estimated error. This holds also for - and -type higher multipole excitations. If the final states are or , then is exactly - 1, and this case is independent of both nuclear structure and the magnitude of , in contrast to the strong dependence of the capture rate on in the states. An averaged value of over four kinds of the giant dipole states is equal to 0.4, in agreement with Primakoff's value in the closure approximation.
Keywords
This publication has 25 references indexed in Scilit:
- Decay of Collective Nuclear States Excited in Muon CapturePhysical Review B, 1965
- Collective Nuclear Vibrations Induced by High-Energy NeutrinosPhysical Review B, 1965
- The Angular Distribution of the Neutrons Arising from the Nuclear Capture of Polarized MuonsProceedings of the Physical Society, 1962
- Neutrons from the capture of a polarized mu mesonAnnals of Physics, 1960
- Theory of Allowed and Forbidden Transitions in Muon Capture ReactionsPhysical Review B, 1960
- Angular distribution of recoils from mu-meson captureAnnals of Physics, 1960
- Collective excitations of nuclear matterAnnals of Physics, 1959
- Charge Symmetry of Weak InteractionsPhysical Review B, 1958
- On the interaction between μ-mesons and nucleonsNuclear Physics, 1957
- On the Consequences of the Symmetry of the Nuclear Hamiltonian on the Spectroscopy of NucleiPhysical Review B, 1937