The particle decay S1 S p1 1 n is observed in a bubble
Chapter 46, Problem 26(choose chapter or problem)
The particle decay S1 S p1 1 n is observed in a bubble chamber. Figure P46.26 represents the curved tracks of the particles S1 and p1 and the invisible track of the neutron in the presence of a uniform magnetic field of 1.15 T directed out of the page. The measured radii of curvature are 1.99 m for the S1 particle and 0.580 m for the p1 particle. From this information, we wish to determine the mass of the S1 particle. (a) Find the magnitudes of the momenta of the S1 and the p1 particles in units of MeV/c. (b) The angle between the momenta of the S1 and the p1 particles at the moment of decay is u 5 64.58. Find the magnitude of the momentum of the neutron. (c) Calculate the total energy of the p1 particle and of the neutron from their known masses (mp 5 139.6 MeV/c 2, mn 5 939.6 MeV/c 2 ) and the relativistic energymomentum relation. (d) What is the total energy of the S1 particle? (e) Calculate the mass of the S1 particle. (f) Compare the mass with the value in Table 46.2.
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