GATE PH 2023 PH Q60: Nuclear and Particle Physics

In pion nucleon scattering, the pion and nucleon can combine to form a short lived bound state called the

particle

. The masses of the pion, nucleon and the

particle are 140 MeV/

, 938 MeV/

and 1230 MeV/

, respectively. In the lab frame, where the nucleon is at rest, what is the minimum energy (in MeV/

, rounded off to one decimal place) of the pion to produce the

particle?

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