** 25. A n*, initially at rest, decays by way of the reaction * = a* + x, where x is an unknown particle. From a bubble chamber (a way to measure the velocity of charged particles), it is found that the momentum of the a* is 29.792 MeV (this is momentum in energy units, that is, it is the product pc). For this problem, you will need more accurate masses than given in Table 26.2. More accurate values are m = 139.570 MeV and m, = 105.658 MeV. [Hint: Keep all calculations accurate to the nearest 0.001 MeV.] a) Find the total energy of the µ* after the decay. b) Use energy conservation to find the energy of the unknown particle. c) Use momentum conservation to find the momentum (pc) of the unknown particle. d) Find the mass of the unknown particle. e) Based on your mass result, and on other conservation laws, explain what you think the particle might be.

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** 25. A n*, initially at rest, decays by way of the reaction n* = a* + x, where x is an unknown
particle. From a bubble chamber (a way to measure the velocity of charged particles), it is
found that the momentum of the a* is 29.792 MeV (this is momentum in energy units, that
is, it is the product pc). For this problem, you will need more accurate masses than given in
Table 26.2. More accurate values are m = 139.570 MeV and m, = 105.658 MeV. [Hint: Keep
all calculations accurate to the nearest 0.001 MeV.]
%D
a) Find the total energy of the u* after the decay.
b) Use energy conservation to find the energy of the unknown particle.
c) Use momentum conservation to find the momentum (pc) of the unknown particle.
d) Find the mass of the unknown particle.
e) Based on your mass result, and on other conservation laws, explain what you think
the particle might be.
Transcribed Image Text:** 25. A n*, initially at rest, decays by way of the reaction n* = a* + x, where x is an unknown particle. From a bubble chamber (a way to measure the velocity of charged particles), it is found that the momentum of the a* is 29.792 MeV (this is momentum in energy units, that is, it is the product pc). For this problem, you will need more accurate masses than given in Table 26.2. More accurate values are m = 139.570 MeV and m, = 105.658 MeV. [Hint: Keep all calculations accurate to the nearest 0.001 MeV.] %D a) Find the total energy of the u* after the decay. b) Use energy conservation to find the energy of the unknown particle. c) Use momentum conservation to find the momentum (pc) of the unknown particle. d) Find the mass of the unknown particle. e) Based on your mass result, and on other conservation laws, explain what you think the particle might be.
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