Question

Although not truly fundamental, the residual strong force shared by nucleons can also be represented by a feynmandiagram, with pion filling the role of mediating boson.The accompanying diagram represents a force between a neutron and a proton mediated by a${\pi }^0$ boson.Suggest a diagram in which they exchange a ${\pi }^{-}$particle.

Short answer

Adiagram in which they exchange ${\pi }^{-}$particle is shown in the figure :

Step-by-step solution

Given data

Diagram represents a force between a neutron and proton mediated by a ${\pi }^0$ boson in figure 1.

Figure 1

Concept of lifetime

The lifetime of this particle by the formula,

$\tau =\frac{\hslash }{\text{width}}$

The distance dcan be expressed as,

$d=\tau c$

Here c is the speed of light

Step 3:Sketch a diagram in which they exchange a  π- particle

The diagram is shown below in figure 2.

Figure 2

A neutron emits${\pi }^{-}$and becomes a proton.

A proton accepts${\pi }^{-}$ and becomes a neutron