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0 votes
0 answers
31 views

Understading dimensions in quark bilinears

I have encountered myself with the following definition for $\pi$-fields as quark bilinears: $$ \pi^a = i\bar{q}\tau^a \gamma_5 q \ ,\quad\text{with }\ q = \left(\begin{array}{c}u\\d\end{array}\right) ...
SrJaimito's user avatar
  • 601
1 vote
1 answer
98 views

Quark condensate and VEV of $\pi^0$

In David Tong's lectures on the Standard Model I saw that there is a quark condensate, which is just a Vacuum Expectation Value (VEV) of the $\bar{q}_{Li}\, q_{Ri}$ operator, $$ \left< \bar{q}_{Li}...
Gabriel Ybarra Marcaida's user avatar
3 votes
1 answer
70 views

Isospin doublet and quark content from contraction of quarks

Let's introduce a quark $SU(2)$ doublet. We are in the $m_u \approx m_d$ limit. So we have $$ q = \begin{pmatrix} u\\ d \end{pmatrix}. $$ Then we can construct the Nucleonic field $$ N := q q q = \...
Gabriel Ybarra Marcaida's user avatar
1 vote
1 answer
118 views

Do all antiquarks carry and anti-color charge, or can they carry RGB color charges as well?

I know there are antiquarks with anticolor charges. Are there also antiquarks that instead carry color charges? Basically, which of these lists describes the types of quarks that there are: List one: ...
blacktopshaman's user avatar
3 votes
0 answers
67 views

When do pairs of quarks form jets vs mesons?

For certain processes with low momentum transfer, such as the Kaon decay shown below, quarks will form bound states of mesons. Whereas for higher momentum-transfer processes, such as the decay of an ...
Jackson Burzynski's user avatar
-1 votes
1 answer
198 views

Superposition of charge states in the Neutral Pion

The quarks of neutral pions don't exist in a pure flavour state, and instead are described as a superposition of up-antiup with down-antidown: $\frac{u\bar{u}-d\bar{d}}{\sqrt{2}}$ However up and down ...
Jamie S's user avatar
  • 115
9 votes
2 answers
286 views

Why are protons/neutrons spin-$\frac{1}{2}$ when they are made up of three valence quarks (also spin-$\frac{1}{2}$)?

If we take the composite angular momentum of the three valence quarks, we should have a proton/neutron spin angular momentum of, $$S=\{ \frac{1}{2},\frac{3}{2} \}$$ using the general rule for adding ...
Adrien Amour's user avatar
6 votes
3 answers
2k views

Can free quarks exist?

I know that currently free quarks do not exist but can they exist under any circumstance? The Physicsworld article Quarks break free at two trillion degrees states that they do but I want a ...
Sanket Dash's user avatar
1 vote
1 answer
60 views

$\alpha_s$ strength in quarkonium potential energy formula

The top answer to Is there an equation for the strong nuclear force? explains that there is a coulomb's law-like formula: $V(r)=−\frac{4}{3}\frac{α_s(r)ℏc}{r}+kr$ that describes how quarks and ...
eaeaa1232's user avatar
  • 451
1 vote
1 answer
105 views

Why is there still disagreement over the mass of the bottom (or beauty) quark, but none of the others?

Wikipedia (among other places) lists two values for the alleged mass of the B quark, 4.18 and 4.65 GeV. Only one of the two possible masses listed has a link to another Wiki page explaining the ...
Kurt Hikes's user avatar
  • 4,509
1 vote
0 answers
106 views

Do quarks have a non-zero electric dipole moment?

It is written here, in this PSE link that an electron has a measured perfect spherical charge density therefore a zero electric dipole moment (i.e. perfect monopole charge). My question is, are quarks ...
Markoul11's user avatar
  • 4,170
-3 votes
1 answer
209 views

Do Quarks Exist?

Do Quarks Really Exist? Is there any experiment which can confirm the existence of Quarks and what kind of force is that which binds them to form neutron and proton?
Kushagra's user avatar
2 votes
1 answer
358 views

Does "lifetime of up quark" have a physical meaning?

I saw this question about the lifetime of an up quark. As far as I know, free quarks are never observed in experiments. Then what is the significance of a statement like "the lifetime of an up ...
Archisman Panigrahi's user avatar
2 votes
2 answers
68 views

How do we understand the ${\bf 3}$ of $Q_L({\bf 3}, {\bf 2})_{1/3}$?

A left-handed quark doublet of the Standard Model is specified as $Q_L({\bf 3}, {\bf 2})_{1/3}=(u,d)^T$. I have a problem understanding this quark doublet as a triplet of ${\rm SU}(3)$. Any help? I ...
Solidification's user avatar
14 votes
5 answers
2k views

Why aren't all quarks clumped together in one giant hadron?

As far as I am aware, the strong interaction is attractive only, and its carrier, the gluon, is massless meaning it has unlimited range. If this is the case, how come we only observe quarks in pairs ...
eaeaa1232's user avatar
  • 451

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