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Advanced Physics Fermilab's arcelerator complex has been proposed to be utilized for a future muon-muon collider (muon: T1/2 2.2 us, m=105.66 MeV). It will produce muons by colliding proton bunches with a stationary target, resulting in an average of 10° muons per bunch. These muons will in turn be accelerated to 10 TeV (1 TeV=1012 eV) in the storage ring for particle-particle collisions. a. What is the velocity fraction b of the muons? b. What is the half-life of the muon in the storage ring? c. Considering the project requires at least 10° muons per single bunch, how long can we store each bunch before we need to inject a new one (in the laboratory reference frame)?

Advanced Physics Fermilab's arcelerator complex has been proposed to be utilized for a future muon-muon collider (muon: T1/2 2.2 us, m=105.66 MeV). It will produce muons by colliding proton bunches with a stationary target, resulting in an average of 10° muons per bunch. These muons will in turn be accelerated to 10 TeV (1 TeV=1012 eV) in the storage ring for particle-particle collisions. a. What is the velocity fraction b of the muons? b. What is the half-life of the muon in the storage ring? c. Considering the project requires at least 10° muons per single bunch, how long can we store each bunch before we need to inject a new one (in the laboratory reference frame)?

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Advanced Physics Fermilab's arcelerator complex has been proposed to be utilized for a future muON-muon collider (muon: T1/2-2.2 us, m=105.66 MeV). It will produce muons by colliding proton bunches with a stationary target, resulting in an average of 10° muons per bunch. These muons will in turn be accelerated to 10 TeV (1 TeV=1012 eV) in the storage ring for particle-particle collisions. a. What is the velocity fraction b of the muons? b. What is the half-life of the muon in the storage ring? c. Considering the project requires at least 109 muons per single bunch, how long can we store each bunch before we need to inject a new one (in the laboratory reference frame)? Your answer Typed answers are easier for students to read than handwritten notes 曲, fx BIU A A
Transcribed Image Text:Advanced Physics Fermilab's arcelerator complex has been proposed to be utilized for a future muON-muon collider (muon: T1/2-2.2 us, m=105.66 MeV). It will produce muons by colliding proton bunches with a stationary target, resulting in an average of 10° muons per bunch. These muons will in turn be accelerated to 10 TeV (1 TeV=1012 eV) in the storage ring for particle-particle collisions. a. What is the velocity fraction b of the muons? b. What is the half-life of the muon in the storage ring? c. Considering the project requires at least 109 muons per single bunch, how long can we store each bunch before we need to inject a new one (in the laboratory reference frame)? Your answer Typed answers are easier for students to read than handwritten notes 曲, fx BIU A A
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