KAHIBARO
Table of Contents
Weak force carriers
The weak interaction is carried by three heavy particles called the $W^+$ boson, the $W^-$ boson, and the $Z^0$ boson. These particles are called gauge bosons, meaning they are force carriers. Unlike the photon of electromagnetism, which has zero mass, the weak bosons are very massive. Because of this large mass, the weak force acts only over a very short distance.
The charged bosons $W^+$ and $W^-$ are responsible for weak processes that change electric charge, such as beta decay. The neutral boson $Z^0$ carries weak interactions in which no electric charge is transferred.
The weak interaction has three force carriers: $W^+$, $W^-$, and $Z^0$.
Their large masses make the weak force short ranged.
Basic properties
These bosons differ in charge and role. The $W^+$ has charge $+e$, the $W^-$ has charge $-e$, and the $Z^0$ is electrically neutral.
| Boson | Electric charge | Main role |
|---|---|---|
| $W^+$ | $+1e$ | Charged weak interactions |
| $W^-$ | $-1e$ | Charged weak interactions |
| $Z^0$ | $0$ | Neutral weak interactions |
Their masses are very large on the particle scale. Roughly,
$$
m_W \approx 80 \, \text{GeV}/c^2, \qquad m_Z \approx 91 \, \text{GeV}/c^2
$$
Because the mediator mass is large, the force range is tiny. A rough estimate of the range is
$$
R \sim \frac{\hbar}{mc}
$$
so a larger $m$ gives a smaller $R$.
A heavy exchange particle produces a short-range force.
For the weak interaction, the large values of $m_W$ and $m_Z$ explain why the weak force acts only over distances of about $10^{-18} \, \text{m}$ or smaller.
Charged current interactions and the W bosons
The $W^+$ and $W^-$ bosons appear in charged current weak interactions. In these processes, the interacting particles change their electric charge by one unit. This is why the exchanged boson itself must carry charge.
A classic example is beta minus decay. In simplified form,
$$
n \to p + e^- + \bar{\nu}_e
$$
At the quark level, one down quark changes into an up quark by emitting a $W^-$ boson,
$$
d \to u + W^-
$$
and then the $W^-$ decays as
$$
W^- \to e^- + \bar{\nu}_e
$$
Similarly, in beta plus type processes a $W^+$ can appear:
$$
u \to d + W^+
$$
followed by
$$
W^+ \to e^+ + \nu_e
$$
The important point is that the $W$ bosons allow particles to change identity in a way that involves electric charge transfer.
$W^+$ and $W^-$ mediate charged current weak interactions.
They can change one type of particle into another while transferring electric charge.
Neutral current interactions and the Z boson
The $Z^0$ boson mediates neutral current weak interactions. In these processes, no electric charge is exchanged. A particle can interact weakly and remain the same type of charged particle before and after the interaction.
An important example is neutrino scattering through $Z^0$ exchange. A neutrino can interact with an electron or a quark without changing into a charged lepton. Symbolically,
$$
\nu + e^- \to \nu + e^-
$$
can occur through $Z^0$ exchange.
The discovery of neutral current interactions was very important because it confirmed the theory that unifies weak and electromagnetic interactions.
Why these bosons are different from the photon
Electromagnetism is carried by the photon, which is massless and neutral. The weak force is carried by $W^\pm$ and $Z^0$, which are heavy. This creates major physical differences.
| Force carrier | Charge | Mass | Typical range |
|---|---|---|---|
| Photon $\gamma$ | $0$ | $0$ | Infinite |
| $W^\pm$ | $\pm e$ | Large | Very short |
| $Z^0$ | $0$ | Large | Very short |
The charged nature of the $W$ bosons is also unusual. A force carrier can itself carry charge, which means weak bosons are more structurally complex than the photon in basic electromagnetic interactions.
Production and decay
Because $W$ and $Z$ bosons are so massive, they cannot usually be produced in ordinary low-energy processes. They are created in high-energy particle collisions, such as those in accelerators.
Once produced, they decay extremely quickly into lighter particles. For example,
$$
W^- \to e^- + \bar{\nu}_e
$$
$$
W^- \to \mu^- + \bar{\nu}_\mu
$$
$$
Z^0 \to e^- + e^+
$$
$$
Z^0 \to \nu + \bar{\nu}
$$
Their very short lifetime is connected to their instability. They are not particles that remain around for long. Instead, they appear as intermediate carriers in weak processes or as short-lived products in energetic collisions.
Exchange picture
A simple way to imagine the weak interaction is as the exchange of a boson between particles. One particle emits a $W$ or $Z$, and another absorbs it. This exchange transfers energy, momentum, and in the case of the $W^\pm$, electric charge.
This drawing is only schematic. It shows the idea that the boson is an exchanged carrier in the interaction.
Experimental discovery
The $W$ and $Z$ bosons were discovered in high-energy experiments in the 1980s. Their observation was a major success of electroweak theory. The measured masses matched the predictions very well, strongly supporting the modern theory of particle interactions.
Their discovery showed that the weak force is not just an abstract idea. It is carried by real particles that can be produced and detected.
Key facts to remember
The $W^+$, $W^-$, and $Z^0$ bosons are the carriers of the weak interaction. The $W^\pm$ bosons mediate charged current processes, while the $Z^0$ mediates neutral current processes. Their large masses make the weak force short ranged, and their existence is one of the central ideas of modern particle physics.
Remember these essential points:
$$
W^+, W^- \text{ carry charged weak interactions}
$$
$$
Z^0 \text{ carries neutral weak interactions}
$$
$$
m_W \approx 80 \, \text{GeV}/c^2, \qquad m_Z \approx 91 \, \text{GeV}/c^2
$$
Large mediator mass $\Rightarrow$ very short force range.