B Curvature radius question for my muon beam experiment

[faca]

Hello, I've a particle beam moving along the z-axis. The beam goes through a dipole magnet. I studied the hit position in a tracker after the magnet and I noticed that there are hits at 2 different x coordinate (the x asix is transverse to the z one). Let's call Delta x the shift between the 2 x points, I need the relation between the Deltax and the 2 curvature radius . Please, can anyone help me?
Thank you

 

[Vanadium 50]

What research have you done on this?

 

[faca]

Hi vanadium.

What research have you done on this?

Hi vanadium I'm studying some data. I noticed the shift, it means the beam isn't monochromatic, so I need to calculate the difference on the momentum. Do you know how to release the shift to the curvature radius?

 

[Vanadium 50]

Do you know how to release the shift to the curvature radius?

Yes, I do, but as an A-level question you're supposed to have graduate-level understanding. I'm trying to figure out what you know already so I can properly help you.

 

[faca]

Yes, I do, but as an A-level question you're supposed to have graduate-level understanding. I'm trying to figure out what you know already so I can properly help you.

Thank you vanadium. I know that I can express the deflection angle θ=L/R (L is the length of the magnet) but I can't find a relation between the Deltax and the radius. Maybe, you can try to write in the way you think it's better to do and if I don't understand something I will ask you about that.

 

[Vanadium 50]

Think of it as a high school geometry problem. You have a circle with two points and a tangent line.

 

[faca]

I did in that way:

[Note: Enhanced images uploaded by Mentor]

 

[Vanadium 50]

If you are trying to say "thank you", you're welcome. If you are trying to say you still need help, you're going to have to put in more effort than posting two pages of unclear scrawl and asking us to figure it out.