Skip to main content

Questions tagged [scattering]

Scattering is a general term for several physical processes in which radiation of some sort changes direction due to an interaction with a particle. Scattering can be classified by the type of radiation (ie, electromagnetic, x-ray, neutron), or by the relative sizes of the wave and the particle (ie, Rayleigh, Mie, geometric).

Filter by
Sorted by
Tagged with
-1 votes
1 answer
71 views

Can you calculate the radius of a hypothetical singular surface inside a black hole from observing changes to its linear momentum?

Say there is a ball of unknown radius surrounded by a bubble. The ball represents a hypothetical singular surface inside a black hole and the bubble represents the event horizon. If you threw marbles ...
user414142's user avatar
2 votes
1 answer
72 views

Loop Effect of $\phi$ Propagator in $t$-channel of scalar $\phi^3$ theory [closed]

In Schwartz's QFT chapter 16, he calculates the loop effect (vaccum polarization) of $\phi$ propagator in $\phi^3$ theory, with the choice of Pauli-Villars regulator, the scattering amplitude would be ...
Ting-Kai Hsu's user avatar
0 votes
1 answer
52 views

Square of the Feynman amplitude for $a +b\to c+d$ and its reverse

In quantum field theory, if a process $a +b\to c+d$ is allowed by a certain interaction Lagrangian (hermitian), the reverse process, $c+d\to a+b$, must also be allowed (as far as I understand) by the ...
Solidification's user avatar
0 votes
0 answers
73 views

Mandelstam variables sign

I am self-studying the book "Quantum Field Theory and the Standard Model" by Schwartz, on page 99 (paragraph "Mandelstam variables"), the context is the $2\rightarrow 2$ scattering ...
Andrea's user avatar
  • 613
0 votes
0 answers
65 views

Justifying that the gold nucleus is at rest in a Rutherford experiment

This is an example on the Rutherford Experiment from Young and Freedman's University Physics. In the last paragraph of the solution the book states that it is valid to assume that the gold nucleus ...
nomadicmathematician's user avatar
2 votes
2 answers
87 views

Question on 1D Scattering Resonances

I'm reading Henley and Garcia's Subatomic Physics. To introduce the concept of resonances they use a 1D square well scattering example. Resonances are where the transmission coefficient goes to one. ...
CGS's user avatar
  • 2,540
1 vote
2 answers
132 views

Extracting electron wave functions from experiments

In nuclear and nucleon physics it’s quite standard to extract electromagnetic form factors – which are the Fourier transforms of charge and current distributions – from elastic electron-nucleon or ...
TomS's user avatar
  • 917
2 votes
0 answers
60 views

Asymptotic states and physical states in QFT scattering theory

Context In the scattering theory of QFT, one may impose the asymptotic conditions on the field: \begin{align} \lim_{t\to\pm\infty} \langle \alpha | \hat{\phi}(t,\mathbf{x}) | \beta \rangle = \sqrt{Z} \...
Steven Chang's user avatar
-1 votes
0 answers
13 views

Jet events and Deeep Inelastic Scattering (Scaling Behavior) at the same time?

I am a philosopher of physics, so I already apologize for potential ignorance. I have also graduated in physics, but I now analyze problems on another level and also forgot some of the mathematical ...
Dontwastetime's user avatar
-2 votes
1 answer
59 views

What is the energy of a photon in an electron-muon scattering?

Currently I am reading about this process in an Introduction to Quantum Field Theory by Peskin and Schroeder (pages 153-154). It should be mentioned that they are working in a center-of-mass (CM) ...
Volodymyr's user avatar
0 votes
0 answers
45 views

Can you create fusion through scattering?

Could you scatter deuteron molecules (D-D) at high energies into some heavy metal target such that at the time of impact the bond in the deuteron molecule is compressed to such a degree that fusion is ...
EigenDragon16's user avatar
4 votes
1 answer
197 views

Binary black hole merging condition

Assuming two black holes with the same rest mass $m$ collid coming from infinity with velocity $v$ and impact parameter $b$. Lets ignore spin at first. For which values of $v$ and $b$ would these ...
Okarin's user avatar
  • 41
2 votes
0 answers
31 views

Could the scattering of molecules lead to bond compression?

Suppose you were to send a fast moving binary molecule (such as H-H) at another large target atom A such that the molecule is aligned with the direction of its travel towards the target atom. In other ...
EigenDragon16's user avatar
0 votes
0 answers
37 views

Inconsistency in scattering length of spherical well potential

I'm trying to understand the scattering length of the spherical well potential $$V(r)=\begin{cases}-V_0&r<r_0\\ 0&r>r_0\end{cases}$$ The $V_0>0$ (attractive) case is fairly well ...
Zeyang Li's user avatar
0 votes
0 answers
35 views

How to compute an integral for double scattering process? [migrated]

I need help with the following integral: \begin{equation} \int_{0}^{\pi}\int_{0}^{2\pi} \frac{(sm_2^2+\ s^2)C(A+B)+s\left(m_2^2+s\right)C^2 }{AB} \sin\theta_1 \ d\phi_1d\theta_1 \end{equation} where $...
Volodymyr's user avatar
1 vote
0 answers
83 views

Doubt in $e^{+}e^{-}\rightarrow W^{+}W^{-}$ scattering

I am trying to understand how to compute the scattering amplitude for the process $e^{+}e^{-}\rightarrow W^{+}W^{-}$, as a reference one could look at Peskin chapter 21. What I do not understand is ...
Filippo's user avatar
  • 475
0 votes
0 answers
23 views

Distribution of scattered photons in cone-beam computed tomography (CBCT)

I am using MCGPU to simulate photon transport in cone-beam computed tomography (CBCT). I ran an experiment, where a water cylinder containing spherical objects was irradiated. The simulation software ...
In the blind's user avatar
0 votes
0 answers
34 views

Relation bitween Mandelstam Variables in three-body final state

What is the relation between Mandelstam variables in the three body final state? There are 5 independent Mandelstam variables. What is the relationship between them?
Andrea's user avatar
  • 11
0 votes
1 answer
146 views

Green function in scattering theory

I'm having a bit of trouble with a step in scattering theory. Context: The Schrödinger equation for a two-body scattering problem can be written as: $$ (E - H_0) |\psi\rangle = V |\psi\rangle. $$ Here,...
Lucas's user avatar
  • 319
2 votes
0 answers
39 views

A problem in Weinberg QFT Vol.1 Chapter 3

This is related to problem 5 of Weinberg's QFT vol.1 Chapter 3. The standing wave states $\Psi_\alpha^0$ are defined by a modified version of Lippmann-Schwinger equation, \begin{equation} \Psi_\...
Damo's user avatar
  • 56
1 vote
0 answers
44 views

What is the range of noon sun color temperature, when a light meter reports full expected sunlight (+/- epsilon)?

My question came from trying to find what uncertainty bounds, if any, I can assign to a color temperature sensor, without access to an artifact with a precisely calibrated output spectrum. This leads ...
user3732008's user avatar
11 votes
2 answers
2k views

What percentage of light gets scattered by a mirror?

Sunlight strikes a mirror at a 45 degree angle. The vast majority of light will be reflected about the normal. Some light will be absorbed by the mirror. Some light will be transmitted through the ...
causative's user avatar
  • 912
0 votes
1 answer
63 views

How to Express the Cross Section of a Three-Body Final State Scattering in Terms of Invariant Masses $s_{ij}$?

I'm working on calculating the cross section for a scattering process that results in three bodies in the final state. My goal is to express the cross section in terms of the invariant masses $s_{ij}$​...
Andrea's user avatar
  • 11
0 votes
1 answer
47 views

Elastic scattering and conservation of spin

I am trying to understand conservation of spin in QED elastic scattering in these nice notes (VJ Martin, Particle Physics, Spring 2012, University of Edinburgh): https://www2.ph.ed.ac.uk/~vjm/Lectures/...
Mister Mak's user avatar
4 votes
1 answer
60 views

Inconsistency in transition rate derivation in "Introduction to the Quantum Theory of Scattering" by Rodberg and Thaler

I've been working through the derivation of the transition rate in the book "Introduction to the Quantum Theory of Scattering" by Leonard S. Rodberg and R. M. Thaler (Chapter 8, Section 4 &...
Frank's user avatar
  • 466
1 vote
0 answers
35 views

What happens when a linear polarized EM wave encounters a perpendicular mesh of wires (which are electrically connected)?

Assume a radio wave with wavelength 1 m is traveling in the negative z direction when it encounters a grid of closely spaced wires (say, 10 cm separation) laying in the xy plane, with each wire ...
articpenguin's user avatar
7 votes
1 answer
323 views

What is the difference between Born approximation and tree-level processes?

The answer to this question says that Born approximation is essentially equivalent to the tree-level. This can be seen from the Feynman-diagrammatic version of Born series discussed in many NRQM ...
Sanjana's user avatar
  • 785
0 votes
0 answers
60 views

Looking for a reference in quantum mechanics treating Coulomb potential as Inverse of coordinate operator

Most textbooks in quantum mechanics handle the Coulomb problem by solving the Schrödinger equation directly in the coordinate representation. Is there any book or reference that adopts a more formal ...
5 votes
8 answers
2k views

Why does classical physics not predict particles in the double-slit experiment to land in just two different locations?

I stopped being able to understand the double-slit experiment way before any of the interference and associated "quantum weirdness" came into play. I get that one needs to approach this ...
Martin Drozdik's user avatar
3 votes
1 answer
112 views

Regge Theory interpretation

I have a question on the physical interpretation of the Regge limit, $$s\gg4m^2\gg|t|$$ where we are in the s-channel physical region and s and t the Mandelstam invariants. Usually, the $s$ is taken ...
roberto's user avatar
  • 71
0 votes
0 answers
23 views

Blue color scattering [duplicate]

I'm trying to understand, in terms of cross sections, why is the sky blue? Intuitively, blue has a smaller wavelength than the rest of the colors so it can "see" the internal structure of ...
MTYS's user avatar
  • 369
0 votes
1 answer
45 views

Elastic vs inelastic scattering in particle physics

Does elastic scattering occur via the Z boson and inelastic scattering via the W boson? If so, why? Does it have something to do with the fact that interactions via the Z boson don't change quark ...
user374355's user avatar
0 votes
1 answer
46 views

Rutherford scattering closest approach distance

Consider a particle 1 moving towards a particle 2 at rest. In class, my teacher said that in order to derive the minimum approach distance when the impact parameter ( b ) is 0, we had to use ...
Lucas's user avatar
  • 319
2 votes
1 answer
38 views

Complex BCFW-shift of Parke-Taylor amplitude

(This question stems from problem 3.3 of Elvang's and Huang's "Scattering Amplitudes in Gauge Theory and Gravity" book). Consider the Parke-Taylor amplitude given as \begin{equation} A_n[1^- ...
MathZilla's user avatar
  • 704
2 votes
0 answers
57 views

Unique numerical solution to Lippmann-Schwinger (Fredholm) equation

I am working in non-relativistic scattering theory and solving the Lippmann-Schwinger equations for the $T$ matrix in momentum space: $$T_{fi}(k_f,k_i) = V_{fi}(k_f,k_i) + \sum_n\int_0^\infty \frac{V_{...
quixedjetr's user avatar
0 votes
1 answer
41 views

Reflection of quantum particle colliding with a potential barrier

Let a quantum particle be subject to a one dimensional step potential barrier $V$ such that: $$V(x)=\begin{cases}0, \ x<0 \\ V_0, \ x>0\end{cases}$$ where the particle's energy is $E>V_0>0$...
Lagrangiano's user avatar
  • 1,616
0 votes
0 answers
70 views

Highly relativistic electron scattering in thin plasma

I am curious about how extremely relativistic electrons (10s of GeVs to single TeVs) scatter when going through the interplanetary and interstellar medium, which is a thin plasma. I have read about ...
cthon's user avatar
  • 113
1 vote
2 answers
44 views

Are reflection and transmission coefficients in 1D problem are independent of the direction in which we choose as incident?

I was watching a lecture series of Quantum mechanics of Professor V. Balakrishnan, There was a problem session, “For an arbitrary potential barrier (any potential function of position and it need not ...
Vivek Panchal 's user avatar
2 votes
0 answers
91 views

Is Sakurai's derivation of the Lippmann-Schwinger equation correct?

I am using Sakurai's Modern Quantum Mechanics 3rd ed. The following is from the beginning of chapter 6. The defining equation for the $T$-matrix is $$\langle \vec{k}' \lvert U_I(t, t_0) \lvert \vec{k} ...
Silly Goose's user avatar
  • 2,676
2 votes
0 answers
56 views

Does Sakurai's definition of $S$-matrix assume a particular type of scattering?

I am using Sakurai's Modern Quantum Mechanics 3ed. In chapter 6, Sakurai defines the $T$-matrix via the equation $$\langle \vec{k}' \lvert U_I(t, t_0) \lvert \vec{k} \rangle = \delta_{k'k} - \frac{i}{\...
Silly Goose's user avatar
  • 2,676
1 vote
0 answers
42 views

Cubic coupling beyond Yukawa

Consider a massless Dirac or Majorana fermion $\psi$ and a massless scalar $\phi$. They interact through a Lagrangian $\mathcal{L}_I(\phi,\psi)$. I would like to understand what are the cubic ...
Rubilax96's user avatar
  • 165
0 votes
0 answers
24 views

Scattering by point potentials

Suppose we consider the quantum scattering of two particles. The interaction Hamiltonian is given by: $$H = -\Delta_{\vec{x}}-\Delta_{\vec{y}} +V(x-y)$$ where $V$ is the interaction potential between ...
JustWannaKnow's user avatar
1 vote
1 answer
112 views

Power-series expansion in coupling/Planck constant

By using Feynman rules of the interacting theory, one obtains the scattering amplitude $$\mathcal{M} = \mathcal{M}_0 + \mathcal{M}_1 + \cdots = \sum^{\infty}_{i = 0}\mathcal{M}_i\tag{1}$$ Where $\...
user avatar
0 votes
0 answers
30 views

Seeking specific Scientific American form mid 1980s on semiclassical interpretation of Compton Scattering

I seem to recall seeing an article in Scientific American which discussed the possibility of interpreting Compton scattering in terms of classical electromagnetic wave theory. If anybody is familiar ...
0 votes
0 answers
23 views

Extending Quantum Treatment of Attentuation Coefficient

I was reading this document to understand the links between the attenuation coefficient and quantum scattering. Consider a beam of number density $\rho$ and velocity $v$ in the z direction. $I = \rho ...
StackUser's user avatar
  • 199
0 votes
1 answer
54 views

Compton scattering angle formula and drawings

The Compton formula for scattering angles $\varphi$ and $\theta$ for electron and photon, respectively, can be shown as: $$ \cot\varphi = (1+\frac{\lambda_c}{\lambda_i})\tan\frac{\theta}{2} \tag{1}\...
Leon Chang's user avatar
0 votes
0 answers
29 views

Understand Laue condition intuitively

I understand that it is the necessary condition in elastic scattering for scattering to happen, and for the wave to stay coherent, thus it stays able to interfere with other diffracted rays. But I ...
Lucas's user avatar
  • 319
7 votes
1 answer
363 views

Determining Bound States from Møller Operator

Hello I came across an interesting property of the Møller operator, which I summarize below: The Møller operator $\Omega^{(+)}$ maps in-states that belong to the continuum spectrum of the free ...
StackUser's user avatar
  • 199
0 votes
0 answers
23 views

Non-relativistic Quantum Mechanical Scattering Theory Textbook Recommendations

I am looking for textbooks that cover non-relativistic quantum mechanical scattering theory. An ideal text would not "brush mathematical details under the rug" and would also make contact ...
1 vote
0 answers
47 views

How to interpret the scattering cross section in quantum mechanics? [closed]

I am following Sakurai's Modern Quantum Mechanics, 3ed. Define the scattering, or S-matrix elements as $$S_{ni} \equiv \delta_{ni} - 2\pi i\delta(E_n - E_i)T_{ni}.$$ We can then derive the ...
Silly Goose's user avatar
  • 2,676

1
2 3 4 5
37