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The color function for tetraquark configuration $(qq)(\bar{q}\bar{q})$ is shown following:
$$
\zeta_1=\frac{1}{2\sqrt6}[(rb+br)(\bar{b}\bar{r}+\bar{r}\bar{b})+(gr+rg)(\bar{g}\bar{r}+\bar{r}\bar{g})+(...
In other words, why is it believed that the quarks are constantly changing colors?
This question answers why theoretically but I'm curious what experimental observation prompted this theoretical piece ...
Hadrons have electrical moments since they are made up of both positive and negative charges. Water molecules have dipole moments for the same reason even though they are electrically neutral.
Since ...
I find myself very confused by the usage of spin terminology to other quantum numbers. A singlet state is the only spinless state of the system. Now, if we consider the possible colour states $|r\...
Can a meson be in a pure $b \overline{b}$, $r \overline{r}$, $g \overline{g}$ state or does it have to be in the $\frac{1}{\sqrt{3}}\left(b \overline{b}+r \overline{r}+g \overline{g}\right)$ state?
...
The anti-commutation relations for Gamma matrices $\big\{\gamma ^\mu , \gamma ^\nu \big\} = 2g ^{\mu \nu} $ can be used for interchanging positions of the respective matrices in a given expression, ...
Consider the wavefunction of say two electrons in an external potential, associated with two possible states $\phi_a$ and $\phi_b$. Furthermore, each electron can have two spin states $\chi_1$ and $\...
If there are 8 gluons, and 6 of them can be represented as a color/anticolor pair (red/antiblue for example), that leaves 2 "other" gluons. How do these two gluons differ from each other? ...
According to the wikipedia page on Strong Gravity, the theory is considered "non-mainstream", but from what I can gather there have been some very interesting progress and results since it ...
When doing some reading on particle physics, I came across the concept of a "multicharge nuclei". A Google search of this phrase returns a number of research papers, but no definition for what a "...
I am trying to answer a question that asks to find the branching fraction of $\tau^{+}$ decays.
In the answers, it gives that the widths are as follows:
$$\Gamma(\tau^- \rightarrow ν_{\tau} d \...
Background
I am aware that the colour ordered amplitudes are cyclically symmetric, for example, for a 4 point amplitude:
$$A_4(1,2,3,4)= A_4(2,3,4,1) \tag{1}$$
Problem
I am trying to prove the BCJ ...
Problem:
To prove the Photon-Decoupling Identity for colour-ordered Yang-Mills amplitudes:
$$0= A(1,2,3,...,n)+A(2,1,3,...,n)+...+A(2,3,...,1,n) \tag{1}$$
I know I must use $(2)$, which expresses ...
I have been studying colour-ordered amplitudes and spinor helicity formalism for a while. It is now apparent to me that I do not fully understand the 'master' formula which allows us to relate the ...
I was busy google about different types of electric and magnetic dipole moment then a thought suddenly striked me, why there is no colour multipole moment?
Say for example a proton is composed of Up, Up and Down (valance) quarks and suppose the Down quark absorbs a gluon, Down quark must change colour in order to conserve colour charges but so must the ...
I am drawing the comparison between electrical charge and colour charge, in electric charges they communicate with (virtual) photon and photon itself is a boson carrying no charge. How about colour ...
This is a two part question.
What is the definition of $\bar\psi$ in QCD?
In QED I know that $\bar\psi=\psi^\dagger\gamma^0$, but in QCD we also have flavor and/or color space. In particular, I'm ...
A moving electric charge induces a magnetic field. What kind of field is induced by a moving (quark) color-charge?
Are there 3 kinds of color-magnetic fields? How would they interact with color-...
Pions consist of quark and antiquark and strong force keeps them together.
So color charge and anticolor charge attracts each other.
But in proton we have 3 quarks and they also attract each other.
It ...
As always, I'll preface that I am wildly undereducated, so i may be overlooking something or be completely unaware of another relevant property.
Color Confinement dictates that to "assemble" a baryon ...
Gluons are bicolored objects. They are made out of one color and one anticolor. Therefore, there seems to be nine possible states $r\bar{r},r\bar{b},r\bar{g},b\bar{r},b\bar{b},b\bar{g},g\bar{r},g\bar{...
Why do we use the group $SU(3)$ and not $SL(3, \mathbb{R})$ for color charge?
As far as I can tell, the $SL(3, \mathbb{R})$ is volume and orientation preserving, by the fact that it has unit ...
I can't believe I haven't found an answer elsewhere.....
I have read repeatedly about blue/anti-blue gluons, etc., but no reason as to why they don't destroy each other immediately.....
Or maybe they ...
Suppose we only have two colors, for example, red (R) and blue (B) to construct the wave functions of baryons and mesons and that the color symmetry is SU (2) and not SU (3). In this situation, ...
As I understand it color confinement comes from the fact that as the distance between two color charges increases the color potential energy increases, instead of decreasing, and the energy needed to ...
I learned that for the lowest lying states,
$uuu$, $sss$, $ddd$ can only have $J=\frac{3}{2}$
$uus$, $ddu$, $ddu$, $ssu$ etc can only have $J=\frac{1}{2},\frac{3}{2}$
$uds$ can have $J=\frac{1}{2}, \...
Is there any physical difference to the way, say, red quarks behave compared to green or blue ones? Or is it just an intrinsic property that they have that doesn't provide any physical difference ...
I asked a question here a few days ago and got some fantastic answers so I'm going to continue.
Let me preface this by saying I know quarks do not actually have 'colour', but colour is some sort of ...
Hi everybody and happy 2019. In my teaching sessions sometimes someone asks questions i cannot truly answer (although i have many arguments on it) and here's one that really puzzles me:
A massless (...
I read about a nucleon with 3 Strange quarks which clearly violates PEP, however this was soon resolved by introducing colour charges. Then I read about colour confinement where surplus energy can be ...
Can the partition function of $SU(3)$ (the Generic Partition function for a yang-mills theory found on the linked wiki page below), be split into a sum of 8 functional integrals for each gauge field?
...
I understand how to derive the QCD lagrangian based on certain assumptions about Quark fields and $SU(3)$ gauge invariance and in the final expression one finds the term $(A_µ)^c*T_c$ where $T_c$ is ...
I was wondering if there was a relation between the fractional coefficients $$2/3, 1/3$$ obtained when calculating color potential for quarks and the value of electric charge for the up and down quark....
In our Standard Model course we wrote down the term for the quark-gluon interaction of the left handed $SU(2)_L$ quark doublet $q_L$ as: $\mathscr{L} = … + \bar{q}_L \gamma^\mu iG^a_\mu(x) \lambda^a ...
I have read these questions:
How does the orbiting of electrons around nuclei START?
Bound electrons don't move, right?
Do different orbitals overlap in multielectron atom?
What is the difference ...
I do not understand why human eye sees different colours from the LED TV/screen. Especially violet.
For example, how we get yellow color on TV. There are 3 small diodes Red, Green Blue in LED screen ...
We know that the strong force keeps quarks together, that is mediated by gluons (and their charge is called color charge).
We know that the residual strong force keeps neutrons and protons together in ...
I have a reflection curve over the visible spectrum (350nm to 700nm) of a sample. Now, I am interested to know what preceived color one would see ?
Is it possible to go from the reflection spectrum ...
What kind of "color charge" does the adjoint fermion carry?
Let us consider the SU(N) gauge theory. The gauge field is in the adjoint representation (rep).
Well-Konwn: If the fermion is in SU(N) ...
Is it harmless to count three, say, up quark particles instead of one up quark with three colors, as well as 8 different gluons instead of one with different color?
Consider pure QCD, flavor turned off. There are 3 quarks and 3 anti-quarks given by the fundamental IRR of SU(3) and its conjugate rep. We associate the three colors and anti-colors with the three ...
One model for the end of the Universe says that space will continue to expand faster and faster, until even atoms are ripped apart in the so called big Rip.
It is also stated by QCD (quantum ...
I'm trying to better understand some properties of QCD and currently I'm looking into understanding color coherence. I've got the book "Elementary Particle Physics: Foundations of the Standard Model, ...
We learnt about, among the other three fundamental interactions, the strong interaction. The particles that are affected by it are those with color-charge. It's carrying particles, gluons, have a ...
For example, could the red-down-quark have a slightly different mass to the red-up-quark?
Since quarks rest masses are so much lighter than the particles they make up, that little bit of different ...
In looking at the particle charts I see 3 Sigma baryons with very similar masses and other similar properties, which makes sense since they all have one strange quark plus two others from the (up,down)...
I have following (maybe a bit general) question about the $SU(3)$-symmetry of color by quarks:
If I consider the analogy to the $SU(2)$-symmetry of isospin $I$ crucially it concers the conservation ...
When a 2-jet event occurs due to a quark + antiquark emerging back-to-back, the jets ultimately decay to stable particles. Each jet starts with a quark (or antiquark) carrying a color and ends as a ...
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