The root second notation for collider energies

In summary, the notation \sqrt{s} in cross-section measurements refers to the center of mass energy of a collision between particles A and B. It is one of three Mandelstam variables used to describe collisions in an invariant way. This is often seen in papers discussing collider experiments.
  • #1
welcomeblack
13
0
Every paper I read about cross-section measurements from colliders has a line saying (for example):

...positron-electron annihilations at [itex]\sqrt{s}[/itex] = 40 GeV are studied...

1) What does this mean? I'm guessing it means that in the CM frame, the energy of each beam is 40 GeV.

2) Why use that notation for energy? The square root of a second means nothing to me.
 
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  • #2
s is one of the three Mandelstam variables s, t and u used to describe a collision in an invariant way. For a collision between particles A and B, s = (pA + pB)2. So √s is the center of mass energy.
 
  • #3
Sweet. Thanks a bunch.
 

FAQ: The root second notation for collider energies

What is the root second notation for collider energies?

The root second notation for collider energies is a method of representing the energy of a particle accelerator by taking the square root of the product of the two colliding energies. It is often used in high energy physics to describe the energy scale of particle collisions.

Why is the root second notation used for collider energies?

The root second notation is used for collider energies because it allows for a more intuitive understanding of the energy scale of particle collisions. It also makes it easier to compare and communicate the energy levels of different colliders.

How is the root second notation calculated?

The root second notation is calculated by taking the square root of the product of the two colliding energies. For example, if two particles with energies of 10 GeV and 20 GeV collide, the root second notation would be √(10 GeV x 20 GeV) = 14.14 GeV.

What is the significance of the root second notation?

The root second notation is significant because it allows scientists to easily describe and compare the energy levels of different particle colliders. It also helps to give a better understanding of the energy scale of particle collisions and the potential for new discoveries.

Are there any limitations to using the root second notation for collider energies?

While the root second notation is a useful tool for describing collider energies, it does have limitations. It does not take into account the direction of the particles or the impact parameter of the collision, which can affect the overall energy of the collision. Additionally, it is not always the most precise or accurate representation of the energy levels involved in a collision.

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