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Scientific Motivation

The pion beta decay () is a semi-leptonic process involving only vector interactions. It is a transition between spin zero members of an isomultiplet and is therefore similar to superallowed Fermi transitions in nuclear beta decay. The measurements of the values of the Fermi decays can be used to test the CVC hypothesis, quark-lepton universality and the unitarity of the CKM quark mixing matrix. From the neutron beta decay which involves the full V-A structure of the weak interactions, it is possible to extract the mixing angle between the up and the down quarks by measuring the ratio of the weak vector to the axial-vector coupling constants and the neutron lifetime. The discrepancy between Fermi beta decay data and the neutron beta decay data dictates the need for a new precision experiment. Pion beta decay () being the most direct test of CVC, presents an independent approach to extract the weak vector coupling constant without the complication of nuclear corrections, screening effects and final states Coulomb interactions. Only radiative corrections are needed in the calculation of the pion beta decay rate, and these corrections have been evaluated up to the leading terms in and amount to . Experimentally however, the study of the pion beta decay is complicated by its small branching ratio. The most precise measurement of the pion beta decay rate to date is in good agreement with theory but stands at experimental accuracy. It is desirable to improve upon this result since it is not precise enough to test the full extent of radiative corrections. Therefore, an experiment has been designed to do a precise measurement of the pion beta decay rate at the Paul Scherrer Institute in Switzerland. During the first phase of the experiment, an attempt will be made to measure the decay rate with an overall uncertainty of . At this level of precision, it will be possible to test the CVC hypothesis and the radiative corrections, and to compare the Fermi beta decay data to the neutron decay data. An even more precise measurement will be made during the second phase of the experiment, reducing the uncertainty to the level of -. This will allow a test of the CKM unitarity and place constraints on possible new physics beyond the Standard Model of the elementary particle physics.


next up previous contents
Next: Experimental Method and Up: Conclusion Previous: Conclusion



Bernward Krause
Mon Jan 15 14:57:06 MET 1996