Scattering Definition and 919 Threads

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 Consider plane waves incident upon an infinitely long cylinder of radius ,a, whose propagation is perpendicular to the axis of the cylinder. Homework Equations This is more of a conceptional question, since the solutions are already developed and just needs to be...

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...

Homework Statement Alpha particle with kinetic energy 6MeV is scatterd on gold nucleus (A=197). Is Rutherford cross-section formula valid for this scattering? Explain ! Homework Equations The Attempt at a Solution The Coulomb barrier is Ec=(1.03MeV)*(Z1*Z2)/(A1^1/3+A2^1/3) Z1=79...

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?

Hi, at my Uni we have a lab course where we first take some measurements and then write a report about the experiment. Our current experiment was about microwave diffraction. First, we measured the wave length of the microwaves, and then proceeded to measure the intensity of the scattered...

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

Homework Statement Show that, regardless of its initial energy, a photon cannot undergo compton scattering through an angle of more than 60 degrees and still be able to produce an electron positron pair. (Hint: Start by expressing the Compton wavelength of the electron in terms of the...

there are several questions I'm going to ask about scattering. however, first i got to say something on a plane wave, say, 'exp(ik*r)'. Here both k and r are vectors and the star means a scalar product. As is known, this state has a current density J proportional to 'k' but independent on 'r'...

Homework Statement An Alpha particle of a Rutherford-type scattering experiment is shot directly toward a platinum nucleus. One of the particles was apparently aimed directly at the centre of the nucleus cause it shot 180 degrees back along the same path. How close does it come to the...

Can Someone look over this and tell me if the work is correct. Homework Statement An object comes in with known velocity (v) and known mass (m) moving directly along the x-axis. It strikes another object of the same mass (m) which is stationary. Find the change in energy of the incoming...

Homework Statement Griffiths Particle Physics, problem 7.24. Evaluate the amplitude for electron-muon scattering in the center-of-momentum system, assuming the e and mu approach one another along the z-axis, repel, and return back along the z-axis. Assume initial and final particles to...

What is the difference between Scattering Crossection and Absorption Crossection in nuclear reaction crossection? Please help me for one numerical problem; "Arsenic As^{33}_{75} has an absorption cross section for thermal neutrons of 4.1 b and a scattering cross section of 6 b, its density...

Can Someone look over this and tell me if the work is correct. Homework Statement An object comes in with known velocity (v) and known mass (m) moving directly along the x-axis. It strikes another object of the same mass (m) which is stationary. Find the change in energy of the incoming...

Hi guys...I am trying the problem 5.2 from Peskin to calculate cross section for Bhabha scattering. In the interference (cross) term, I'm getting a term involving trace of 8 gamma matrices and I am having some trouble in evaluating it. So can anyone help? The term is...

A raman scattered photon occurs when you drive the bonds of a molecule causing oscillations between the bonded molecules right? What exactly emits the photon? If its the electrons, then shouldn't multiple photons be emitted with the same wavelength?

Hi guys: Under a large glancing angle, when the impinging molecules with a certain kinetic energy impact on an armophors surface, a certain amount of molecules can be scattered away from surface instead of sticking on the surface. So, people suggest that the surface phonons play a role...

Hi, I'm an undergrad physicist in a bit of a pickle over how isospin relates to scattering amplitude. It's been quoted to me that the scattering amplitude is given by the matrix element of the initial and final isospin states. I'd ideally like to show you this in latex, however I can't...

Hi! I'd like to ask you what do the texts mean by scattering, bound and antibound states. The context for these concepts is scattering theory. Thanks!