Two protons, with equal kinetic energy, collide head-on. What is the minimum kinetic energy Kp of one of these protons necessary to make a pion-antipion pair? The rest energy of a pion is 139.6MeV.

Respuesta :

Answer:

[tex]K_p=139.6\ MeV[/tex]

Explanation:

It is given that,

The rest energy of a pion is 139.6 MeV. Here, two protons having equal kinetic energy collides elastically. We need to find the minimum kinetic energy of one of these protons necessary to make a pion-antipion pair.

It can be calculated using conservation of energy and momentum, the total energy of the particles gets converted into rest mass energy of new particles. So,

[tex]2K_p=2\times E_{\pi^+}[/tex]

[tex]K_p=\times E_{\pi^+}[/tex]

[tex]K_p=139.6\ MeV[/tex]

So, the minimum kinetic energy of one of these protons necessary to make a pion-antipion pair is 139.6 MeV. Hence, this is the required solution.