Can momentum be calculated to achieve a 2mm decay length for a tau particle?

In summary, "Tau momentum" refers to the amount of energy possessed by the tau particle and is calculated using the formula p = mv. It is important for determining the decay length of the particle and can affect the decay process, with higher momentum leading to longer decay times. It is possible to manipulate the tau momentum to control the decay length of tau particles, allowing for further study and understanding of their properties.
  • #1
ChrisVer
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Hi,
I'm looking for the momentum so that the decay length of a tau (mean lifetime ##t_{lft}=2.9 \times 10^{-13}s##) can be ##2mm##.
I was wondering whether someone can use the formula I got:

[itex] l_{lab}= t_{lab} u = \gamma u t_{lft} \Rightarrow pc= m \gamma u = m \frac{l_{lab}}{t_{lft}}[/itex]?

(Looking just for a confirmation)
 
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  • #2
Looks reasonable.
 
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Related to Can momentum be calculated to achieve a 2mm decay length for a tau particle?

1. What is "Tau momentum" in the context of decay length?

The "Tau momentum" refers to the amount of movement or energy possessed by the tau particle, which is a type of subatomic particle. In the context of decay length, it is an important factor in determining how far the tau particle can travel before decaying into other particles.

2. How is "Tau momentum" calculated?

Tau momentum is calculated using the formula p = mv, where p is momentum, m is mass, and v is velocity. In the case of a tau particle, its mass is known and its velocity can be measured or estimated through various experiments.

3. Why is "Tau momentum" important for decay length?

Tau momentum is important for decay length because it determines how far the tau particle can travel before it decays. This is because the higher the momentum, the more energy the particle has and the longer it can maintain its existence before decaying into other particles.

4. How does "Tau momentum" affect the decay process?

The higher the tau momentum, the less likely it is for the particle to decay quickly. This is because the higher momentum means the tau particle has more energy to maintain its existence, making it more stable and less likely to decay into other particles.

5. Can "Tau momentum" be manipulated to control the decay length of tau particles?

Yes, it is possible to manipulate the tau momentum through various methods, such as accelerating the particle or changing its direction of travel. This can ultimately affect the decay length of the tau particle, allowing scientists to study and understand its properties and behavior.

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