Abstract
A scheme is discussed for momentum selection and momentum-spread reduction for muon-based experiments. The concept relies on placing a wedge absorber at a point along a beam transport system with nonzero dispersion. The technique has direct relevance to precision-science experiments such as the Fermilab Muon g-2 Experiment as it can enhance the muon beam intensity and therefore minimize the statistical uncertainty of the anomalous magnetic moment measurement. This paper presents a theoretical and numerical study about the orientation, material, geometrical parameters, and performance of this wedge. Results suggest a considerable increase in muon intensity for the Muon g-2 Experiment, when the optimal wedge is introduced along the beam path.
Highlights
The Fermilab Muon g-2 Experiment [1] signals the beginning of an important research program that uses muons as a probe to study physics beyond the Standard Model
The concept relied on placing a wedge absorber at a point along a beam transport system with nonzero dispersion
The technique has direct relevance to precision-science experiments such as the Fermilab Muon g-2 Experiment. We showed that it can enhance the number of stored muons and minimize the statistical uncertainty of the measurement
Summary
The Fermilab Muon g-2 Experiment [1] signals the beginning of an important research program that uses muons as a probe to study physics beyond the Standard Model. It is likely that the performance of the Muon g-2 Experiment will be limited by the momentum acceptance For this reason, it is advantageous to develop new techniques that could reduce the momentum spread of the incoming beam and increase the number of stored muons. The key element of our scheme is to introduce emittance exchange to the incoming muon beam [7,8] With this technique, a dispersive beam is passed through a wedge in such a way that the high-energy particles traverse more material than the low-energy ones. We show that with emittance exchange the resulting momentum spread of the postwedge beam is lower than conventional designs and maintains its value through the passage into the ring, resulting in a considerable increase of stored muons.
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