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0 votes
1 answer
40 views

What is the cross-section impact probability for an extended object moving trough a field of randomly moving particles?

In trying to get an estimate of the probability for an earth orbiting (LEO) satellite to collide with small debris particles. So I need to understand what is the impact probability for an orbiting ...
not2qubit's user avatar
  • 153
0 votes
1 answer
72 views

How is it possible to collide particles with specific momentum in microscopic scale?

Quantum theory says particles with almost specific momentum are spatially spreaded. (have relatively large spatial scales). Then how is possible to collide them very effectively in microscopic scale? (...
moshtaba's user avatar
  • 1,409
1 vote
1 answer
124 views

How to derive the modified Mott formula (with target recoil) using quantum field theory?

The differential cross-section of relativistic point electron off a static Coulomb potential provided by a point charge with density $\rho(\vec x)=e\delta^{(3)}(\vec x)$ is given by the Mott formula (...
Solidification's user avatar
1 vote
1 answer
73 views

Luminosity for storage ring

Why is the Luminosity $\mathcal{L}$ for a storage ring $\mathcal{L}=fn\frac{N_1N_2}{A}$, where $f$ is the rotation frequency, $N_i$ is the amount of particles in the bunches, $A$ is the cross ...
Silas's user avatar
  • 425
0 votes
1 answer
46 views

Show that differential cross section is independent of $θ$ for elastic scattering

I have two hard sphere which took part in elastic scattering, I have attached a diagram below and I have assumed here that since its is elastic the angle of incidence $\alpha$ is equal to the angle of ...
Jack Jack's user avatar
  • 187
1 vote
3 answers
752 views

In particle physics what is the derivation of the mean free path length: $\ell=\frac{1}{n \sigma}$?

From my lecture notes (ICL, dept. of Physics) it is written: Consider a thin piece of material with thickness $d$ containing target particles with number density $n$, as illustrated in Figure $\bf{2....
BLAZE's user avatar
  • 2,470
1 vote
2 answers
259 views

Do electron-electron collisions have an associated scattering cross section?

Various texts (1,2) state that electrons are point particles, but if this is the case then when two electrons collide, one of them knows the others position with exact certainty (treating one as an ...
user400188's user avatar
2 votes
2 answers
897 views

Why do we refer the cross section ratios to muons?

For electron-positron interactions, we have different cross sections, depending on the available reaction energy. To get an overview how many particles of a certain type have been created, we can ...
pantheon's user avatar
0 votes
1 answer
505 views

Why is the laboratory frame energy always greater than the center of mass frame energy for collisions? [duplicate]

I looked through lots of sources to answer the question, 'Why is lab frame energy (total energy) always greater than the center of mass frame energy?' Many of them provided lots of mathematical ...
user7852656's user avatar
7 votes
3 answers
4k views

Why is the laboratory frame energy always greater than the center of mass frame energy?

I have been looking for an answer to 'Why is the laboratory frame energy always greater than the center of mass frame energy during collisions?'. A lot of resources provided mathematical explanations....
user7852656's user avatar
0 votes
1 answer
35 views

Elastic scattering off arbitrary surface

I'm working on a problem where I'm trying to find the differential cross section of a surface described by $f(z)=Az^n$, $n>1$, with $f(z)$ rotated around the z axis to make a 3D shape. Particles ...
Spuds's user avatar
  • 163
0 votes
1 answer
51 views

The basic probabilistic relation of collision theory

In "Classical Mechanics", John R. Taylor gives this basic relation of collision theory $$N_{sc}=N_{inc}n_{tar}\sigma$$ for firing projectiles into targets. $N_{sc}$ is the number of projectiles ...
Doubt's user avatar
  • 519