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Quarks

Quarks (pronounced “quork” as in pork) are the fundamental particles from which hadrons are made.  They cannot exist on their own.  In baryons they are found as triplets.  In mesons, they are always in a quark-antiquark pair.

There are three main quarks, up, down, and strange.  The names have no real significance beyond the imagination of the physicist that dubbed them such.  They have corresponding antiquarks.  There are three others with even odder names, top (sometimes called "truth"), bottom ("beauty"[!]), and charm, which we won’t worry about here.

 

Notice how they go in matching pairs.

There are three quantum numbers associated with quarks:

 

Quark

Charge (Q)

Baryon number  (B)      

Down (d)

-1/3

1/3

Up (u) 

+2/3

1/3

Antidown (<d>)

+1/3

-1/3

Antiup (<u>)

-2/3

-1/3

 

Question 8

Complete the table for the following hadrons: (One has been done as an example)

Particle

Composition

Baryon number

Charge

Proton

UP, UP, DOWN

1

+ 1 e

Antiproton

     

 

Pi-0 meson

     

 

Neutral Kaon

     

 

Lambda

     

ANSWER

Some mesons such as the neutral Kaon and the neutral Pion (Pi-meson) can be made up in different ways.

Question 9

Why does a meson always have a baryon number of 0?

ANSWER

 

Hadrons

There are a very large number of particles that are classified as hadrons, which are subdivided into two further classifications, the mesons, and the baryons. 

Hadrons with zero baryon number are called mesons; those with baryon number of 1 are called baryons. 

Mesons

These particles have a smaller rest mass than the baryons (and a lower rest mass than the tau lepton).  They have:

Here are a few mesons:

Name

Symbol           

Q         B           

Lifetime (s)

Antiparticle

Pion

p0

0          0           

0.8 x 10-16

Itself

 

p+

1          0           

2.6 x 10-8

p-

Kaon

K+

1          0           

1.2 x 10-8

K-

 

K0

0          0           

8.9 x 10-11

5.2 x 10-8

 

 Notice how short the lifetimes are of these mesons.

Question 10

Why does the neutral pion seem to have a particularly short lifetime? 

ANSWER

We should note the following:

Here is a typical decay:

Notice the conservation of charge and baryon number.

Here are some more:

Question 11

Show that this interaction can proceed:                                                                  

                                                                             p+ ---> m+ + nm

ANSWER

 

Baryons

These are the heavyweights of particle physics, and include the familiar proton and neutron.

  Let us look at the properties of the baryons:

Name 

Symbol

Q         B           

Lifetime (s)

Antiparticle

Proton 

p

1          1

stable

p

Neutron

n

0          1

898

n

Lambda

L0

0          1

2.6 x 10-10

L0

Sigma  

S+

1          1

0.8 x 10-10

S+

 

S0

0          1

7.4 x 10-20       

S0

 

S-

-1         1

1.5 x 10-10

S-

Omega

W-

-1         1         

0.8 x 10-10

W+

Typical Decay

The proton is the only stable baryon.  All the others spontaneously decay, although the neutron within a nucleus is stable, apart from beta decay.  The decay times are incredibly short, except the isolated neutron which takes about 8 to 10 minutes.  Baryons decay to protons, either directly (S+ --> p + p0) or indirectly (W- --> L0 + K, then L0 -->  p +  p-).  Mesons decay to photons or leptons.

Question 12

Show that this decay is possible:

               L0 ----->  p+ +  p- 

ANSWER

As in radioactivity, the decay of particles is random.  The values quoted are the mean lifetimes, not half-lives.

 

 It is believed that gluons are shuttled backward and forward between the quarks like rugby footballs. 

 

Mesons bind the baryons together with the strong force.   

The proton is the only baryon that is stable in isolation.  The neutron on its own decays to a proton by beta minus decay after about 14 minutes.  The decay is as a result of the weak interaction that occurs within nucleons.

Now go on to Particle Experiments BACK to Topic 5