Scattering Definition and 820 Threads

Homework Statement Problem: Show that unitarity (of the S-Matrix which has implications to the amplitud of scattering of 2-2 bodies scattering of unstable particles) fixes the numerator of the Partial wave amplitude near the \Delta-pole, q M_1 =...

consider deep inelastic scattering of e-p.assuming that a graviton acts as a propogater in this interaction how would it effect the structure functions of the proton.now we have a spin 2(graviton) instead of the usual spin 1(photon).basically what is the effect of this spin change on the...

My specialization is Mechanical engineering. So I'm dumb to many of the electromagnetic concepts. But right now, I have to analyze this problem. This is the statement "The incident plane wave as well as the scattering field is expanded into radiating spherical vector wave functions. The...

Hey guys, Hit a bit of a snag in something I'm working on and need some help. I've attached an image so hopefully that will help a bit. Basically I'm trying to model a mass m moving through a potential that is, currently, a grid of point masses and seeing how the overall distance traveled in a...

hi, How do we differentiate between quasi elastic scattering and non elastic scattering? Was told that dynamic light scattering falls under the quasi elastic scattering... but it seems to me that light undergoing such scattering have its frequency shifted... this seems to me to be that...

I have a mental picture of photon scattering that goes like this: An atom spontaneously emits a single photon (or particle). Since the photon hasn't been observed, its wavefunction and probability expands out like a sphere. If I take my photodetector and place it at some point on this...

Hi! I know that x-rays interact with matter (compton effect). But I also know that when X-rays are incident on a crystal, they are diffracted following the Bragg's law. My question is: why is the x-ray diffracted when it is incident on a crystal, but it isn't scattered by comtpon scattering?

in order to reduce unwanted light scattering from a sample, a trick often used is to immerse it in a higher refractive index liquid . This is called index matching. Could anyone elaborate how it reduces unwanted scattering? regards pilo440

Homework Statement A beam of particles, each of mass m and energy E0,is incident on a square potential energy well of width L and depth V0,where 0 <V0 < h(bar)^2\pi^2/2mL^2 . Outside the region of the well, the potential energy is equal to zero. Suppose that E0 is the lowest energy at which...

Suppose I have a two-level atom trapped in a certain area, initially in ground state. I have a light shining on it, the atom jump from ground state to the excited state and emission a photon spontaneously. Can I say this is a scattering process?

I pretty much understand the idea of photon of some wavelength λ exciting an electron in atom above the ground state if the difference between the ground state and a higher energy level is exactly hc/λ. Not hard, but what happens to the electron and the atom when the photon energy is below the...

hey guys, here's the question. [SIZE="2"]Physicts probe inside neutrons and protons by scattering electrons off them. (i) Explain briefly why it is important that the electrons have high energy. (ii) Assuming that the protons and neutrons were at rest, calculate the minimum momentum to which...

Would I be right in saying the difference between Rayleigh and Tomson scattering is that Tomson involves scattering off a free electron, whereas in Rayleigh the incident wave is scattered off a bound nucleus? Alos are there any other differences in the two scattering processes? Thanks

I've been searching online and in my qft books (im an early phd student) and I can't find a clear explanation. If you have one, or can simply direct me to a page that does please do so. For a generic scattering/decay matrix : \sum _{polarization} \left|M|^2\right.=\sum _{polarization}...

Hi. Landau and Lifgarbages give an equation describing the angle of deflection of a charged particle of a given initial velocity and impact parameter. It's given on page 102 of their Classical Theory of Fields, available here...

proton mass 938MeV/c^2. Consider an elastic collision between two protons. IN the centre of mass frame the kinetic energy of each proton is equal to its rest energy. calculate the speed of the protons in the CM frame. clearly they will be equal and opposite velocities so the two speeds...

what causes this? why is it important? I don't understnad why the phonon momentum is different but the k-vectors outside the first Brillouin zone are physically equivalent to vectors inside it. I can see that physically the vector is shifted by pi back into the Brillouin zone by G. Is the k...

Homework Statement I'm having trouble with e-muon scattering. Tree level, no loops. (This is problem 7.26 in Griffiths Intro to Elem Particles). I get that the amplitude is as stated in the text, but I am having problems coming up with a number when the momenta and spins are added in...

Homework Statement A beam of particles strikes a wall containing 2 × 10^29 atoms/m^3. Each atom behaves as a hard sphere of radius 3 × 10^–15 m. Find the thickness of the wall such that exactly half the incident particles go through without scattering. Homework Equations N(sc) =...

Not technically homework, just something I wanted to see if I could do. Homework Statement Find the differential cross section for the interaction between an electron and a photon via compton scattering. Basically, I'm just after calculating the matrix (s-matrix?/amplitude?) for the s-channel...

My emphasis is on the solid-state/mesoscopic physics and I have the following question: Can the interaction of two electrons that scatter off one another due to Coulombic repulsion be considered elastic? I know that the phases of the electrons will be randomized and I also sense that this...

I'm reading Landau and Lifgarbagez's Mechanics book and am having a hard time proving the following: On page 53, they present theta_0 = arccos( ... ). As described on page 48 eqn 18.2 the integral should produce this theta_0. However, I am not quite sure what r_min is? On page 48, they say 'It...

Protons and neutrons have a diameter of around 10^{-15}m. Despite this small size, physicists were able first to probe inside these particles in the 1970s, by scattering high energy electrons off them. i). explain briefly why it is important that the electrons have high energy. Since...

Homework Statement Problems are Shankar 19.3.2 and 19.3.3 with spherically symmetric potentials V(r)=-V_{0}(r_{0}-r)\theta and V(r)=V_{0}exp(-r_{2}/r^{0}_{2}^{}) Homework Equations f\left( \theta \right) = - \frac{{2\mu }}{{\hbar ^2 }}\int\limits_{r_0 }^r {\frac{{\sin qr'}}{q}V\left(...

Homework Statement calculate the scattering phase sift for given potential v(r)=-a/r +b/r2( consider only s-wave scattering) a=+ve constant b=+ve constant Homework Equations phase sift=f(-k,0)/f(k,0) k2=2mE/\hbar2 r*f(k,r)=solution of schrodinger equation The Attempt at a Solution...

Quantum mechanics scattering problem, Please help! Homework Statement Calculate the reflection and transmission probabilities for right-incident scattering from the potential V(x) = V0 for x<0 V(x)= 0 for x>0. at an energy E <V0. Find the probability density and the probability current...

When light is scattered by the atmosphere, is it scattered with equal speed in all directions relative to the atmosphere?

Homework Statement Hey, I'm writing a report on applications of radar at the moment and just have a few tasty questions about radar/EM wave propagation... Firstly, I understand that active radar relies on radio waves scattering off bodies with differing properties of...

Hello, how do the angular distributions of Bhabha Scattering e^+ e^- \Rightarrow e^+ e^- and Muon pair production e+ e- \Rightarrow \mu^+ \mu^- differ? Regards, Phileas Fogg

Is compton scattering the reason why different substance have different colors? I was thinking along the lines of substanes with higher energy electrons around the atom wouldn't cause too much of a change in the photons wavelength and atoms with lower energy electrons will absorb more energy...

Quantum Mechanical Scattering (3D) -- What about forward scattering? Hi In nonrelativistic QM, the standard way to solve the 3D scattering problem is to consider an incident plane wave \psi(z) = Ae^{ikz} which encounters a scattering potential, producing an outgoing spherical wave having the...

both rayleigh scattering and raman scattering are second order processes the difference is only that the final state of the atom/molecule coindices with the initial state of the atom/molecule in rayleigh scattering, while in raman scattering, the final state is different from the initial...

Would you please explain more abot it? Thanks:smile:

Does the Compton scattering equation \lambda ' - \lambda = \frac{h}{m_{e} c} (1-cos \theta ) work even when \theta = 180^{\circ}?

Homework Statement Use partial waves method to calculate scattering amplitude for a quantum particle scattering off the potential V(r) = a/r^2. Homework Equations The Attempt at a Solution To calculate phase shifts \delta_{l} for each angular momentum's value l, it's necessary...

Why must the size of the particles be much smaller than the wavelength (of say blue light) in Rayleigh scattering? They type that causes the sky to be blue specificly. In Short: How does a small electromagnetic wave size up the size of the entire particle before deciding how it will interact...

Homework Statement The differential cross section for Rutherford scattering of alpha particles off a nucleus can be written as: \frac{d\sigma}{d\Omega} = (\frac{zZe^2}{4\pi\epsilon_0})(\frac{1}{4T_\alpha})^2\frac{1}{sin^4 \frac{\theta}{2}} where z and Z are the atomic numbers of the...

I am really stuck on this problem. This entire section I have been teaching myself using the homework answers but I have no idea where to start. Thanks anyone. Question: A beam of thermal neutrons emerges from a nuclear reactor and is incident on a crystal as shown below. The beam is Bragg...

Compton scattering and the energies of incident and scattered photons...? [b]Hey guys! I'm alittle stuck...Hope you can shed light on this for me! The question is: 'In a head-on compton encounter, the total energy (i.e the rest mass plus the kinetic energy) of the scattered electron is...

Homework Statement A mono-energetic beam are of neutrons is directed perpendiculary at the surface of a metal crystal whose atom are a constant distance 0.1E-10m apart. The scattered beam of neutrons is found to have maximum intensity at an angle of 25degree to the initial direction. What is...

1. Homework Statement The alpha particles used by Rutherford had a kinetic energy of 7.7 MeV and, for a head-on collision would get to within a distance of 3×10-14m of the centre of the gold nucleus. However the actual radius of a gold nucleus is approximately 7×10-15m. 2. Homework Equations...

Homework Statement For what wavelength of light is the scattering only 2.00% that of light with a visible wavelength of 520nm? NOTE: The intensity of scattered light is inversely proportional to the fourth power of the wavelength. Homework Equations I(light)/I(IR)=(wavelength of IR /...

In all the possible potentials I have encountered so far, it seems that the bound states (i.e. E < [V(-infinity) and V(infinity)]) always results in a discrete spectrum of energies, whereas the scattering states (E > [V(-infinity) and V(infinity)]) always results in a continuous spectrum of...

A beam of thermal neutrons emerges from a nuclear reactor and is incident on a crystal. The beam is Bragg scattered from crystal whose scattering planes are separated by 0.247 nm. From the continuous energy spectrum of the beam we wish to select neutrons of energy 0.0105 eV. Find the Bragg...

Hi all, since scattering amplitude is given as: f(theta) = summation over l(from o to infinity)(2l+1)/k exp(i(phi))sin(phi) Pl(cos theta).But what happen if i want to calculate the ratio of f(theta=0)/f(theta = pi/2). Can anyone tell me the value of Pl(0). Thanks

Hello, For a course in experimental physics I need to obtain a curve of alpha-particle scattering as predicted by the Thomson model* (i.e. the plum pudding model). I am allowed to look this up so long as it is from a reputable source and I cite it. Does anyone know where I can find such a...

What does this term mean? In particular a solution of the wave equation scattering to infinity?

In the usual calculaltion of the Compton effect we assume an elastic collision between a photon and an electron. Energy and momentum of the particles are conserved before and after the collision. In fact, the electron is subject to a high acceleration during the collision, and classically it...

In the context of interaction of photons (with energies from around visible light and upwards) and the electrons of solid matter. I've read that at the lower energy levels that the photoelectric effect is more likely to occur during such an interaction and that Compton scattering is more likely...

Homework Statement A photon of initial energy .1 MeV undergoes Compton scattering at an angle of 60degrees. Find: The energy of the scattered photon The recoil energy of the electron the recoil angle of the electronHomework Equations \Delta\lambda= (h/mc)(1-cos\theta)The Attempt at a Solution