Quantcast
  • Register
PhysicsOverflow is a next-generation academic platform for physicists and astronomers, including a community peer review system and a postgraduate-level discussion forum analogous to MathOverflow.

Welcome to PhysicsOverflow! PhysicsOverflow is an open platform for community peer review and graduate-level Physics discussion.

Please help promote PhysicsOverflow ads elsewhere if you like it.

News

PO is now at the Physics Department of Bielefeld University!

New printer friendly PO pages!

Migration to Bielefeld University was successful!

Please vote for this year's PhysicsOverflow ads!

Please do help out in categorising submissions. Submit a paper to PhysicsOverflow!

... see more

Tools for paper authors

Submit paper
Claim Paper Authorship

Tools for SE users

Search User
Reclaim SE Account
Request Account Merger
Nativise imported posts
Claim post (deleted users)
Import SE post

Users whose questions have been imported from Physics Stack Exchange, Theoretical Physics Stack Exchange, or any other Stack Exchange site are kindly requested to reclaim their account and not to register as a new user.

Public \(\beta\) tools

Report a bug with a feature
Request a new functionality
404 page design
Send feedback

Attributions

(propose a free ad)

Site Statistics

205 submissions , 163 unreviewed
5,082 questions , 2,232 unanswered
5,355 answers , 22,793 comments
1,470 users with positive rep
820 active unimported users
More ...

  Confinement and fractional charges in atoms

+ 1 like - 0 dislike
722 views

In (quasi) stable atoms the positive and negative charges form "charged" clouds, which can be represented as fractionally charged sub-clouds. In order to observe them as such, we have to have the same atomic state in the in- and out-states, i.e., we have to deal with elastic scattering in the first Born approximation. Then no atomic "polarization" effects are present. Let us consider for simplicity a large-angle scattering, i.e., scattering from the positive-charge sub-clouds (see formula (3) in this paper and here):

$$\text{scattering amplitude}\propto\int{|\psi_{nlm}(\vec{r}_a)|^2\text{e}^{\text{i}\frac{m_e}{M_A}\vec{q}\sum \vec{r}_a}d\tau}$$

This integral is just a sum of integrations over different sub-clouds. If one manages to prepare the target atoms in a certain polarized state $|n,l,m\rangle$ (in order not to average over different $l_z$ projections), the resulting cross section will be an elastic cross section of scattering from fractionally charged atomic sub-clouds. However, and let us not forget it, this will be an inclusive (or deep inelastic) scattering with respect to the soft photon emissions, which carry away a tiny portion of the total transferred energy/momentum $|\vec{q}|$.

Such fractionally charged sub-clouds are confined in atoms and are never observed independently of atoms, just like quarks. I wonder whether this analogy between quarks and the "usual" sub-clouds is deep or superficial, to your opinion.

asked Dec 26, 2018 in Theoretical Physics by Vladimir Kalitvianski (102 points) [ revision history ]
edited Dec 26, 2018 by Vladimir Kalitvianski

Your answer

Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead.
To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL.
Please consult the FAQ for as to how to format your post.
This is the answer box; if you want to write a comment instead, please use the 'add comment' button.
Live preview (may slow down editor)   Preview
Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:
p$\hbar$ysicsO$\varnothing$erflow
Then drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds).
Please complete the anti-spam verification




user contributions licensed under cc by-sa 3.0 with attribution required

Your rights
...