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physconomics
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- Homework Statement
- Electrons and positrons collide head-on with beam energies 9GeV and E respectively, producing B0 and anti-B0 mesons at the threshold energy. The B0 mesons undergo decay with a mean proper lifetime of 1.5 × 10−12 s. Calculate the mean distance that the B0 mesons travel before decay, as observed in the rest frame of the laboratory. (Neglect rest-mass energies of electron and positron)
- Relevant Equations
- E^2 = p^2c^2 + m^2c^4
E = ymc^2
P = ymu
conservation of energy and momentum
Conservation of Energy: 9GeV + E = 5.3GeV + 5.3GeV
Therefore E = 1.6GeV for the threshold energy.
How would I find the velocity of B0 mesons so that I can calculate their mean distance?
Then it would just be distance = velocity of b0 * mean proper lifetime
Right?
Therefore E = 1.6GeV for the threshold energy.
How would I find the velocity of B0 mesons so that I can calculate their mean distance?
Then it would just be distance = velocity of b0 * mean proper lifetime
Right?