"Asymmetric B factories" like the Belle facility in Japan are designed to produce pairs of B mesons (mass about 5 GeV each) from the head- on collision of a highly relativistic electron beam against a highly relativistic positron beam (about 7 GeV and 4 GeV at Belle; recall the electron mass is 0.5 MeV). For the purpose of this problem, the reaction is e+ + e + B+ B and let's assume that the reaction occurs at threshold; the B and B are produced at rest in the center of mass frame. You can, of course, treat the electron and positron as massless in what follows. (a) If the energy of the two beams is E1 and E2 and the mass of the B (and B) is MB, what is the relation between E1, E2 and MB for this to occur?
"Asymmetric B factories" like the Belle facility in Japan are designed to produce pairs of B mesons (mass about 5 GeV each) from the head- on collision of a highly relativistic electron beam against a highly relativistic positron beam (about 7 GeV and 4 GeV at Belle; recall the electron mass is 0.5 MeV). For the purpose of this problem, the reaction is e+ + e + B+ B and let's assume that the reaction occurs at threshold; the B and B are produced at rest in the center of mass frame. You can, of course, treat the electron and positron as massless in what follows. (a) If the energy of the two beams is E1 and E2 and the mass of the B (and B) is MB, what is the relation between E1, E2 and MB for this to occur?
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Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer.
You can borrow
ideas from gpt, but please do not believe its answer.Very very grateful!
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Transcribed Image Text:"Asymmetric B factories" like the Belle facility in Japan are
designed to produce pairs of B mesons (mass about 5 GeV each) from the head-
on collision of a highly relativistic electron beam against a highly relativistic
positron beam (about 7 GeV and 4 GeV at Belle; recall the electron mass is 0.5
MeV). For the purpose of this problem, the reaction is e+ + e → B+B and
let's assume that the reaction occurs at threshold; the B and B are produced
at rest in the center of mass frame. You can, of course, treat the electron and
positron as massless in what follows.
(a)
If the energy of the two beams is E1 and E2 and the mass of
the B (and B) is MB, what is the relation between E1, E2 and MB for this to
occur?
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