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Chapter 12: Q31E (page 557)

Sketch Feynman vertex for the annihilation of a b quark and u炉.

Short Answer

Expert verified

The Feynman diagram is shown in the figure as follows:

Step by step solution

01

Given data

The u炉 has charge -23 and b has charge-13 .

02

Concept of Feynman diagram 

A Feynman diagram describes the interactions in quantum field theory. Solid lines and curved lines are used to represent different types of particle interactions.

03

Step 3:Sketch Feynman vertex

The Feynman diagram is shown in figure 1.


Figure 1

Because the type of quark changed, it is a weak interaction.

Because u炉 has charge -23 and b has charge-13 , they will exchange a W-boson.

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Most popular questions from this chapter

In non-relavistic quantum mechanics, governed by the Schrodinger equation, the probability of finding a particle does not change with time.

(a)

Prove it, Begin with the time derivative of the total probability

ddt鈭�唯*(x,t)唯'(x,t)dx=鈭�(唯(x,t)鈭�鈭�t唯*(x,t)+唯*(x,t)鈭�鈭�t唯(x,t))dx

Then use the Schrodinger equation to eliminate the partial time derivatives, integrate by parts, and show that the result is zero. Assume that the particle is well localised, so that 蠄鈥塧苍诲鈥�鈭�蠄鈭�xare 0 when evaluated at .卤鈭�

(b) Does this procedure lead to the same conclusion if Wave function obeyKlein-Gordon rather than Shrodinger equation? Why and why not?

To produce new particle accelerators often smash two equal mass objects together proton and proton or electron and positron. The threshold energy is the kinetic energy before the collision needed simply to produce the final particle their mass thermal energy alone with no leftover kinetic energy. Consider a colliding beam accelerator in which two initial particles of mass m are moving at the same speed relative to the lab. Assume that the total mass of the stationary particles after the collision is M. Show that the threshold energy is M-2mc2.

Suppose a force between two particles decreases distance according to F=k/rb. What is the limit on b if the energy required to separate the particlesInfinitely far is not to be infinite?

In the following exercises, two protons are smashed together in an attempt to convert kinetic energy into mass and new particles. Indicate whether the proposed reaction is possible. If not, indicate which rules are violated. Consider only those for charge, angular momentum, and baryon number If the reaction is possible, calculate the minimum kinetic energy required of the colliding protons.

p+p鈫�p+p+p+p炉

Sketch the Feynman diagram if the proposed decay is possible.

惟-鈫�萤0+蟺-
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