Scattering is a term used in physics to describe a wide range of physical processes where moving particles or radiation of some form, such as light or sound, is forced to deviate from a straight trajectory by localized non-uniformities (including particles and radiation) in the medium through which they pass. In conventional use, this also includes deviation of reflected radiation from the angle predicted by the law of reflection. Reflections of radiation that undergo scattering are often called diffuse reflections and unscattered reflections are called specular (mirror-like) reflections. Originally, the term was confined to light scattering (going back at least as far as Isaac Newton in the 17th century). As more "ray"-like phenomena were discovered, the idea of scattering was extended to them, so that William Herschel could refer to the scattering of "heat rays" (not then recognized as electromagnetic in nature) in 1800. John Tyndall, a pioneer in light scattering research, noted the connection between light scattering and acoustic scattering in the 1870s. Near the end of the 19th century, the scattering of cathode rays (electron beams) and X-rays was observed and discussed. With the discovery of subatomic particles (e.g. Ernest Rutherford in 1911) and the development of quantum theory in the 20th century, the sense of the term became broader as it was recognized that the same mathematical frameworks used in light scattering could be applied to many other phenomena.
Scattering thus refers to particle-particle collisions between molecules, atoms, electrons, photons and other particles. Examples include: cosmic ray scattering in the Earth's upper atmosphere; particle collisions inside particle accelerators; electron scattering by gas atoms in fluorescent lamps; and neutron scattering inside nuclear reactors.The types of non-uniformities which can cause scattering, sometimes known as scatterers or scattering centers, are too numerous to list, but a small sample includes particles, bubbles, droplets, density fluctuations in fluids, crystallites in polycrystalline solids, defects in monocrystalline solids, surface roughness, cells in organisms, and textile fibers in clothing. The effects of such features on the path of almost any type of propagating wave or moving particle can be described in the framework of scattering theory.
Some areas where scattering and scattering theory are significant include radar sensing, medical ultrasound, semiconductor wafer inspection, polymerization process monitoring, acoustic tiling, free-space communications and computer-generated imagery. Particle-particle scattering theory is important in areas such as particle physics, atomic, molecular, and optical physics, nuclear physics and astrophysics. In Particle Physics the quantum interaction and scattering of fundamental particles is described by the Scattering Matrix or S-Matrix, introduced and developed by John Archibald Wheeler and Werner Heisenberg.Scattering is quantified using many different concepts, including scattering cross section (σ), attenuation coefficients, the bidirectional scattering distribution function (BSDF), S-matrices, and mean free path.
so this is the question I'm having a little trouble with:
Assume that the ratio of copper resistivity at room and absolute zero temperatures (so called "residual resistance ratio") is 1000. Estimate the electron mean free path in copper at low temperatures.
we also know this:
Let us assume...
Just curious, are S parameters related to S-domain and Laplace transforms, or is the use of S just a coincidence? I know that when using S parameters you are working in the frequency domain, but it doesn't seem that you need to use the Laplace transform to use the S parameter concept.
Homework Statement
In the inverse compton scattering, find the formula of the recoiled electron as a function of the incoming electron
Homework Equations
The energy of the incoming photon and electron are known.
The Attempt at a Solution
Starting from this...
Homework Statement
Why does ## \frac{ e^+ + e^- \rightarrow \mu^+ + \mu^- }{e^+ + e^- \rightarrow \tau^+ + \tau^- } \rightarrow 1## at high energies?
Would it be the same if it was ## \frac{ e^+ + e^- \rightarrow \mu^+ + \mu^- }{e^+ + e^- \rightarrow e^+ + e^- }##?
Homework EquationsThe...
Homework Statement
(a) e- + e+ -> e- + e+
(b) e- + e- -> e- + e-
c) e- + e- -> e- + e- + u+ + u-
d) y -> e+ + e-
e) y + y -> y + y
Homework EquationsThe Attempt at a Solution
Part (a)[/B]
Part (b)
Part (c)
Part (d)
Part (e)
Not sure what to do with this, since usually the...
Homework Statement
Photons and electrons interact via Compton scattering. If the photon scattering angle is θ=30, compute the relative change in wavelength for photons of wavelength λ=10-2 m.
Is the photon scattering elastically? (The electron Compton wavelength is: λc=2.4x10-12m)I've solved...
Homework Statement
Consider photons crossing a large hot ionised hydrogen region with constant electron density ne = 5*105 m-3. Assuming that the photons and the electrons interact via Thomson scattering (with Thomson scattering cross section, σT = 6.65*10-29 m2, what is the thickness Δx that...
I'm looking at deep inelastic scattering of a low-energy inelastic electron scattering from a stationary proton target. I am given ##E## and ## \theta ## where ##\theta ## is the scaterring angle.
##E=4.879 GeV , \theta=10^{0} ##
I am given a figure of cross section...
1. Problem Statement:
Consider the scattering of an alpha particle from the positively charged part of the Thomson plum-pudding model. Let the kinetic energy of the α particle be K (nonrelativistic) and let the atomic radius be R.
(a) Assuming that the maximum transverse Coulomb force acts on...
Homework Statement
(a) Find energy of incoming beam that creates highest cross section
(b) What are the differences in the two reactions, using quark diagrams?
(c) What would the peaks of the two reactions be like?
Homework EquationsThe Attempt at a Solution
Part(a)
[/B]
Cross section is...
Homework Statement
[/B]
b) For a Form factor of form ##\theta_{(1-r)}## and ##\frac{1}{1 + e^{\frac{r-R}{a}}}##, how will these change when ##r \rightarrow 2r##?
c) How would one accelerate and observe scattered protons?
Homework EquationsThe Attempt at a Solution
Part(b)
[/B]
Rate of...
Homework Statement
https://fbcdn-sphotos-c-a.akamaihd.net/hphotos-ak-xpf1/v/t1.0-9/10980752_10204928958360361_5256945004598578166_n.jpg?oh=7fd9defb14be9a9befa0cf5032def429&oe=55576A2C&__gda__=1431534931_425423ae11039486a001b049726e1b11
Homework Equations
Charles Kittel's book on Solid State...
In a high energy physics experiment, do you ever scatter more than 2 particles at a time?
Suppose you scatter 4 incoming particles and get 4 outgoing particles. Do you only look at connected diagrams with 8 external lines? Or do you also have to take into account the product of disconnected...
1. The problem statement, all variables and given/known
I have to prove an equation for the differential cross section of compton scattering of an electron and a photon (electron (P) + photon(K) ⇒ electron(P') + photon (K') ) where P and so on are the inital and final four momenta.
Given is...
Regarding Raleigh Scattering (Wikipedia)
"The oscillating electric field of a light wave acts on the charges within a particle, causing them to move at the same frequency. The particle therefore becomes a small radiating dipole whose radiation we see as scattered light"
Please anyone give simple...
The sky is blue because blue light resonates with the air molecules and therefore has a higher scattering intensity (due to Raleigh scattering). Thus, we see blue light when we look at the sky (any light that we see, while not looking directly at the sun, must have been scattered).
Is this...
Homework Statement
Explain what the term "four-momentum transfer ##q##" is
Show that for a high energy muon scattering at an angle ##\theta##, the value of ##q^2## is given approximately by;
##q^2=2E_iE_f(1-cos(\theta))##
where ##E_i## and ##E_f## are the initial and final values of the muon's...
I read once (I don't remember exactly where) that X-rays scattered perpendicularly to the direction of the incident X-rays are linearly polarized (even although the incident ones are not). I think the discussion was in the context of low energy X-rays, and the explanation used classical...
While reading the derivation of the formula \lambda' - \lambda = \frac{h}{ m_ec}(1-cos(\theta)) on Wikipedia, they point out that the momentum gained by the electron is larger than the momentum lost by the photon:
$$ p_e=\frac{\sqrt{h^2(\nu-\nu')^2 +2h(\nu-\nu')m_ec^2}}{c} >...
Homework Statement
Given incoming photon has energy 10Mev and scatters at angle 25 degrees, find the scattering angle in CM frame.
Homework EquationsThe Attempt at a Solution
[/B]
In lab frame, let the energy of incoming photon be ##E##. Total 4-vector would be ##P + Q =...
Homework Statement
derive an equation for the solid angle for a Rutherford scattering detector given a detcor window area of A and a distance to the detector of D for some scattering angle \phi given that d\Omega =2\pi sin\phi d\phi
Homework Equations
d\Omega =2\pi sin\phi d\phi
A=Dd\phi
The...
Is it accurate in any sense of the word to think of electromagnetic radiation, ala chapter 7-8 of Landau, and gravitational radiation, ala https://n.ethz.ch/~usoler/download/GR/Spacetime%20and%20Geometry.pdf , as the classical field theoretical analogue of inelastic (& elastic?) scattering, the...
particle size and scattering of light
why colloidal particles scatter light while particles of true solution do not?Colloidal particles are larger than particle of true solution right?So larger particle can scatter light while smaller can not,right?
Homework Statement
First of all, Happy New Year! I have to solve the following exercise (xmas gift :P) and some things are a bit vague..Here is it: For the ee--->ee scattering process, draw all amputated and connected graphs that would contribute. The hint is that one should find 10 different...
1.my problem
The Attempt at a Solution
its an infinite cylinder ,because of symmetry i thing we can think at this as 2D problem of scattering
and using 10.19 10.20 i can do the discritisation of the problem.and finding the field.
but the problem is that those formulas depend of J which i am...
Im currently reading these lectures notes on yukawa scattering (charged scalars and real scalars).
http://www.damtp.cam.ac.uk/user/tong/qft.html
In the interaction part he focuses strictly on 2 particle to 2 particle scattering, is there a reason other types are not discussed?
For example a 2...
Between 1909 and 1911 the current model of an atom was Thomson's plum pudding however this was disproved by Rutherford's experiment. So the question is, if Thomson's model was true what would of happened when the alpha particles was aimed at the gold foil?
Homework Statement
This is a question on multiple coulomb scattering in a wire chamber
momentum p = 500MeV/c
wire resolution = 120 microns
distance from wall to wire = 0.01m
radiation length of wall material X_0 = 2E-3 m
mass of charged particle m_{\pi} = 139.6 MeV/c^2
charge z = 1
How thick...
Hi guys!
Im i have to write a paper on neutron an x-ray inelastic scattering.
So far I have red a bit of information on this subject.
As far as i can tell the main use x-ray an neutron inelastic scattering is determining the phonon energy,wave vector,intensity and so on. The thing is that...
Homework Statement
An object from space (like an asteroid) approaches Earth. A collision will occur if the scattering cross-section is less than π*Re2. If the distance of closest approach is much greater than Re, no collision would occur. Find an implicit expression for the cross-section in...
I am looking for a realistic explanation of the double-slit experiment in terms of wave packets (instead of stationary waves). First of all this results in using the scattering cross section, i.e. the probability current (not the density). Then, I guess, there is a kind of time average. So one...
Homework Statement
a,b is constant and s is impact parameter, θ is scattering angle.
i know that ψ in the picture is <ψ=(π-θ)/2>
Homework Equations
differential scattering crossection dσ/dΩ = (s/sinΘ) I ds/dθ I
and σ(θ)=∫(dσ/dΩ)dΩ
The Attempt at a Solution
i guessed, first step is that...
Greetings,
Here is my question:
What is the difference between the labframe and the center of mass frame in QM scattering theory? Is it that in the labframe both particles are moving towards each other and in the center of mass frame one particle is static and a second one is moving towards the...
This isn't a homework problem. I am preparing for a particle physics exam and although I understand the theoretical side of field theory, I have little idea how to approach practical scattering questions like these.
THE PROBLEM:
Dark matter might be observed at the LHC with monojet and...
Homework Statement
A proton beam of energy E=7mpc2 is incident on a cylindrical volume (V=20 cm3) of liquid hydrogen (density ρ=0.071 g cm-3) at rest. The spot area of the beam is A=4 cm2 and the total cross section is σ=30 mb. What fraction of the protons entering the target will interact...
Hi guys, I was studying dynamic light scattering experiment and I had a problem! Here's the thing:
I read that in case of weak coupling between x-rays and matter the whole system behaves as a linear system. I knew that linear systems respond to an input signal with an output that has the same...
1)So from my understanding, as long as ##E>0## you will have scattering states and these scattering states will always result in an imaginary ##\psi##, but bound states can also have an imaginary ##\psi##? Is this correct and or is there a better way of looking at this maybe more conceptually...
My question here involves Delbruck Scattering specifically but my curiosity is more general. Delbruck Scattering is the scattering of a photon off of the Coulomb field of a nucleus via the creation and annihilation of real and virtual electron-positron pairs. The process can occur at energies...
Homework Statement
Nuclear fusion reactions at the center of the sun produce gamma - ray photons with energies of about 1 MeV (10^6 eV). By contrast, what we see emanating from the sun's surface are visible light photons with wavelengths of about 500nm. A simple model that explains this...
A photon with wavelength lambda = 0.1050 nm is incident on an electron that is initially at rest. If the photon scatters at an angle of 60.0 degrees from its original direction, what are the magnitude and direction of the linear momentum of the electron just after the collision with the photon...
It is very well known that the sky scattering of visible light decrease with the wavelength, it is bigger in the blue portion of the spectrum( the reason why the sky is blue ) and is lower on the red portion of the spectrum, this scattering is even lower on the infrared section and lower still...
Suppose that we have that:
\mathcal{M} = c \bar{u}^{s'}(p') u^s(p) \bar{u}^{r'}(k') u^r(k)
For a fermion fermion scattering: f(k,r)+ f(p,s) \rightarrow f(k',r')+ f(p',s')
Now if I want to calculate the polarization summed and averaged squared amplitude:
\frac{|c|^2}{4} \sum_{r,r',s,s'}...
I am reading the textbook by Ryden and I just ran into a statement that puzzles me (on page 201 if you have it at hand):
"For instance, we found that, in the absence of inflation, the horizon size at the time of last scattering was ##d_{\rm hor}(t_{\rm ls}) \approx 0.4\,\rm Mpc##. Given a...
Hi everyone,
Could someone please offer a clear explanation of how electron scattering can be used to provide evidence for the existence of quarks?
Thank you!
I am a graduate student and I am thinking of doing a project on "Inelastic neutron scattering and density functional theory".
Can you please inform me what are the exact background knowledge(courses) I should have to.
Dear PF:
I'm currently working in a problem that has had me stranded for several weeks now. The problem reads as follows:
(See attachment)
Consider a beam of quantum particles (that is, the particles are small enough to exhibit non-negligible quantum effects) that propagates through a...