Explanation The reaction of the proton and pion from the decay of a Λ 0 at rest, Λ 0 → p + π − Write the expression for energy of the particle, from the Einstein equation. E = m c 2 (I) Here, m is the mass of the particle and c is the velocity of light. The energy of the each particle is, m Λ c 2 = 1115.6 MeV m p c 2 = 938.3 MeV m π c 2 = 139.6 MeV The difference between starting mass energy and final mass energy is the kinetic energy of the products. ( K p + K π ) = m Λ c 2 − m p c 2 − m π c 2 (II) Here, K p is the kinetic energy of the proton, K π is the kinetic energy of the pion, m Λ is the mass of the lamda, m p is the mass of the proton, and m π is the mass of the pion. Write the expression for conservation of momentum. p p = p π = p Here, p p is the momentum of the proton and p π is the momentum of the pion. Write the expression for the relativistic energy conservation of the decay process. [ ( m p c 2 ) 2 + p 2 c 2 − m p c 2 ] + [ ( m π c 2 ) 2 + p 2 c 2 − m π c 2 ] = K p + K π (III) Write the expression for kinetic energy of the proton. K P = ( m P c 2 ) 2 + ( p P c ) 2 − m P c 2 (IV) Write the expression for kinetic energy of the pion. K π = ( m π c 2 ) 2 + ( p π c ) 2 − m π c 2 (V) Conclusion: Substitute 139.6 MeV for m π c 2 , 938

Principles of Physics: A Calculus-Based Text

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ISBN: 9781133104261

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Nuclear interactions

In nature, there are certain rules and standards for an interaction. These interactions are universally accepted. There are four types of interactions:

Question

Chapter 31, Problem 65P

To determine

The kinetic energies of the proton and pion.

Expert Solution & Answer

Chapter 31 Solutions

Principles of Physics: A Calculus-Based Text

Ch. 31.2 - Given the identification of the particles in...Ch. 31.5 - Prob. 31.2QQ Ch. 31.5 - Prob. 31.3QQ Ch. 31.5 - Prob. 31.4QQ Ch. 31.9 - Prob. 31.5QQ Ch. 31 - Prob. 1OQ Ch. 31 - Prob. 2OQ Ch. 31 - Prob. 3OQ Ch. 31 - Prob. 4OQ Ch. 31 - Prob. 5OQ

Ch. 31 - Prob. 6OQ Ch. 31 - Prob. 7OQ Ch. 31 - Prob. 8OQ Ch. 31 - Prob. 1CQ Ch. 31 - Prob. 2CQ Ch. 31 - Prob. 3CQ Ch. 31 - Prob. 4CQ Ch. 31 - Prob. 5CQ Ch. 31 - Prob. 6CQ Ch. 31 - Prob. 7CQ Ch. 31 - Prob. 8CQ Ch. 31 - Prob. 9CQ Ch. 31 - Prob. 10CQ Ch. 31 - Prob. 11CQ Ch. 31 - Prob. 12CQ Ch. 31 - Prob. 13CQ Ch. 31 - Prob. 1P Ch. 31 - Prob. 2P Ch. 31 - Prob. 3P Ch. 31 - Prob. 4P Ch. 31 - Prob. 5P Ch. 31 - Prob. 6P Ch. 31 - Prob. 7P Ch. 31 - Prob. 8P Ch. 31 - Prob. 9P Ch. 31 - Prob. 10P Ch. 31 - Prob. 11P Ch. 31 - Prob. 12P Ch. 31 - Prob. 13P Ch. 31 - Prob. 14P Ch. 31 - Prob. 15P Ch. 31 - Prob. 16P Ch. 31 - Prob. 17P Ch. 31 - Prob. 18P Ch. 31 - Prob. 19P Ch. 31 - Prob. 20P Ch. 31 - Prob. 21P Ch. 31 - Prob. 22P Ch. 31 - Prob. 23P Ch. 31 - Prob. 24P Ch. 31 - Prob. 25P Ch. 31 - Prob. 26P Ch. 31 - Prob. 27P Ch. 31 - Prob. 28P Ch. 31 - Prob. 29P Ch. 31 - Prob. 30P Ch. 31 - Prob. 31P Ch. 31 - Prob. 32P Ch. 31 - Prob. 33P Ch. 31 - Prob. 34P Ch. 31 - Prob. 35P Ch. 31 - Prob. 36P Ch. 31 - Prob. 37P Ch. 31 - Prob. 38P Ch. 31 - Prob. 39P Ch. 31 - Prob. 40P Ch. 31 - Prob. 41P Ch. 31 - Prob. 42P Ch. 31 - Prob. 43P Ch. 31 - Prob. 44P Ch. 31 - Prob. 45P Ch. 31 - Prob. 46P Ch. 31 - Prob. 47P Ch. 31 - Prob. 48P Ch. 31 - Prob. 49P Ch. 31 - Prob. 50P Ch. 31 - Prob. 51P Ch. 31 - Prob. 52P Ch. 31 - Prob. 53P Ch. 31 - Prob. 54P Ch. 31 - Prob. 55P Ch. 31 - Prob. 56P Ch. 31 - Prob. 57P Ch. 31 - Prob. 58P Ch. 31 - Prob. 59P Ch. 31 - Prob. 60P Ch. 31 - Prob. 61P Ch. 31 - Prob. 62P Ch. 31 - Prob. 63P Ch. 31 - Prob. 64P Ch. 31 - Prob. 65P

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