A beam of high-energy π− (negative pions) is shot at a flask of liquid hydrogen, and sometimes a pion interacts through the strong interaction with a proton in the hydrogen, in the reaction π− + p+ → π− + X+, where X+ is a positively charged particle of unknown mass. The incoming pion momentum is 2965 MeV/c. The pion is scattered through 38°, and its momentum is measured to be 1480 MeV/c. The X+ particle is scattered through an unknown angle θ with an unknown momentum. A pion has a rest energy of 140 MeV, and a proton has a rest energy of 938 MeV. Find the scattering angle θ of the X+ particle.
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the !! Relativistic Energy and Momentum concept. If you need more !! Relativistic Energy and Momentum practice, you can also practice !! Relativistic Energy and Momentum practice problems.
How long does this problem take to solve?
Our expert Physics tutor, Juan took 8 minutes and 8 seconds to solve this problem. You can follow their steps in the video explanation above.
What professor is this problem relevant for?
Based on our data, we think this problem is relevant for Professor Dutta's class at VANDERBILT.