# Pion decay in electron and neutrino

• mur79
In summary, the conversation is about a decay involving a pi- particle and an electron, and a factor of 1-v/c. The individual values of v and c are not specified, but in special relativity, v/c is equal to the ratio of momentum and total energy. The final result is derived through algebra to be (m_e)^2 / [(m_pi)^2 + (m_e)^2].
mur79
Hi,
I have a question about this decay: $$\pi^- \rightarrow e^- \overline{\nu_e}$$
there is a factor:

$$1 - \frac{v_e}{c}$$

what are these values, $$v_e,c$$, and why this quantity is equal to:

$$\frac{m^2_e}{m^2_\pi + m^2_e}$$?

Thank you
Ciccio

Sorry but I don't understand why the latex don't work...

the decay is

pi- -> e- anti-nu(e)

the factor is: 1-v/c

and I don't understand what are v and c...
and why that quantity is equal to: (m_e)^2 / [(m_pi)^2 + (m_e)^2]

Thank you
Ciccio

v is the electron velocity and c the speed of light.
In special relativity, v/c=pc/E, where p is the momentum and E the total energy.
Some more algebra is required to get the final result.

## 1. What is pion decay in electron and neutrino?

Pion decay in electron and neutrino is a process in which a charged pion particle decays into an electron and a neutrino. This process occurs due to the weak interaction, one of the four fundamental forces in nature.

## 2. How does pion decay in electron and neutrino occur?

In pion decay, the charged pion particle, which is made up of a quark and an antiquark, interacts with a W boson, which is a carrier of the weak force. This interaction causes the pion to decay into an electron and a neutrino, with the W boson also decaying into other particles.

## 3. What is the significance of pion decay in electron and neutrino?

Pion decay in electron and neutrino is an important process in particle physics as it helps us understand the behavior of fundamental particles and their interactions. It also plays a crucial role in the study of the weak force and the Standard Model of particle physics.

## 4. Is pion decay in electron and neutrino a common occurrence?

Pion decay in electron and neutrino is a relatively rare process, as it requires the presence of a W boson. However, it is a well-studied phenomenon in particle physics and has been observed in various experiments.

## 5. Can pion decay in electron and neutrino be used for practical applications?

No, pion decay in electron and neutrino is not currently used for any practical applications. However, the knowledge gained from studying this process has contributed to advancements in particle physics and our understanding of the fundamental forces of nature.

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