A beam of high-energy 蟺 鈭 (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 , where X + is a positively charged particle of unknown mass. The incoming pion momentum is 3 GeV/c (1GeV = 1000 MeV = 1 脳 109 electron-volts). The pion is scattered through , and its momentum is measured to be 1510 MeV/c (this is done by observing the radius of curvature of its circular trajectory in a magnetic field). A pion has a rest energy of 140 MeV, and a proton has a rest energy of 938 MeV. What is the rest mass of the unknown X+ particle, in ? Explain your work carefully. It is advantageous to write the equations not in terms of v but rather in terms of E and p; remember that .