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Chapter 6: Q14E (page 1520)

Calculate the minimum beam energy in a proton-proton collider to initiate the p+p鈫�p+p+畏0 reaction. The rest energy of the 畏掳 is 547.3鈥�MeV.

Short Answer

Expert verified

The minimum beam energy in a proton-proton collider to initiate the p+p鈫�p+p+畏0reaction isEm=1212鈥�MeV.

Step by step solution

01

Definition of Law of conservation of energy

It states that total energy of a system is constant. It can change from one type of energy to another but never completely lost. System and enviroment interacts and exchange energy if the system allows.

02

Determine The minimum beam energy in a proton-proton collider to initiate the p+p→p+p+η0 reaction

The minimum available energy is:

E伪=mpc2+mpc2+m畏c2

Put known values, the rest energy of the proton is 938.3MeV, and the rest energy of 畏掳is 547.3MeV

So,

E伪=938.3鈥�MeV+938鈥�MeV+547.3鈥�MeVE伪=2423.9鈥�MeV

The total energy equals half the available energy in colliding beams

So

Em=E伪/2Em=(2423.9鈥�MeV)/2Em=1211.95鈥�MeVEm=1212鈥�MeV


Hence, the minimum beam energy in a proton-proton collider to initiate the

p+p鈫�p+p+畏0 reaction isEm=1212鈥�MeV.

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