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Hadrons

Hadrons are made of quarks

 

There are two types of hadron that we have to know about:- the baryon and meson.

  • Baryon - 3 quarks - baryon number of 1- proton and neutron
  • Anti-baryon - 3 anti-quarks - bayon number of -1 - ant-proton and anti neutron.
  • Meson - a quark and an anti-quark - baryon number 0 ('cos its not a baryon!) - kaon, pion

You only need to learn about three quarks - the up 'u', down 'd' and strange 's' but there are others. you don't need to worry about them for this course, but it would be a good idea to look them up and give yourself a more complete picture. The examiner could give you baryons that contain other quarks and expect you to classify them - if they did that they would have to give you the quark properties in a table.... but you are expected to recall the general types above!

Each quark has characteristics that are listed in your data book - you do NOT have to learn these, you should be able to use them to work things out!

Quark
Charge
Baryon Number
Strangeness
up 'u'

down 'd'

strange 's'

u

d

s

2/3

-1/3

-1/3

-2/3

1/3

1/3

1/3

1/3

1/3

-1/3

-1/3

-1/3

0

0

-1

0

0

1

  • The only two types of meson you need to know about are the pion p and the kaon k.
  • The kaon involves 'strangeness'. It is the only strange particle you have to deal with in this course.
  • The pion has no strange quark.
  • After the symbol comes a charge sign - which you can work out from the data book.
Quark
Antiquark
Meson
u

u

u

d

d

d

s

s

d

s

u

d

s

u

d

u

p+

k+

po

po

k+

p-

ko

k-

As we are limited to u, d and s (and I have already told you that the only hadron we have to deal with that has a strange quark is the kaon) we only have to concern ourselves with two baryons: the proton and the neutron.
 

You know that a neutron is neutral and a proton has a charge of +1.

Using the information in the table above (charge!) deduce what arrangement of 'u' and 'd' (three in total) makes each of the baryons we have to know about.

 

proton quark composition: ?

neutron quark composition: ?

  • The only two types of baryon you need to know about are: the proton 'p' and the neutron 'n'.
  • Neither is 'strange'. (The kaon (a meson) is the only strange particle you have to deal with in this course). They are both made up of only 'u' and 'd'.
  • They are each composed of three quarks.
  • You know their charge so you can work out their composition from the data book.

What do hadrons do?

Mesons are involved in the strong force - they help to hold the nucleus together.

Baryons are particles that participate in strong interactions They are composed of three quarks, and are therefore generally more massive than mesons..

The Pion

The pion is a semistable meson produced either in a neutral form with a mass 264 times that of an electron and a mean lifetime of 8.4 × 10-17 seconds or in a positively or negatively charged form with a mass 273 times that of an electron and a mean lifetime of 2.6 × 10-8 seconds. It is also called a pi meson.

It is a meson involved in holding the nucleus together - it is the exchange particle for the strong nuclear force.

It is produced as the result of high-energy particle collision - cosmic rays interacting in the upper atmosphere result in pion production.

These then decay:

- negatively charged ones into a muon and a muon antineutrino by weak interaction

- positively charged ones into an anti-muon and a muon neutrino by weak interaction

- the uncharged pion decays to an electron, positron, and gamma ray by the electromagnetic interaction

Lifetimes:

  • The neutral pions have a lifetime of about 10-16 seconds.
  • The positive and negative pions have longer lifetimes of about 2.6 x 10-8 seconds.

The kaon

The kaon is an unstable meson. It consists of an electrically charged form with a mass 966 times that of an electron or a neutral form with a mass 974 times that of an electron. It is produced as a result of a high-energy particle collision. It is also called K-meson

It is produced as the result of high-energy particle collision

There are two types of neutral Kaons K0S and K0L. The 'L' one has a long life (5.2 x10-8 seconds) and the other 'S' one a short life (0.89 x10-10 seconds). They are formed by the mixtures of the quark combinations down-antistrange and antidown-strange.

The charged kaons are mesons which have a quark composition of up-antistrange for the positive kaon and antiup-strange for the negative kaon. They decay in about 1.24 x 10-8 seconds:

They decay as follows:

Decay times in this range indicate decay by the weak interaction. Note that NONE of the decay products has a strange quark, so this decay violates conservation of strangeness and cannot proceed by the strong interaction.

Describing the neutral kaons is much more complex. There are two versions of this particle with the same mass but different decay lifetimes - very strange!!

Remember that weak decays proceed via w-bosons!

The neutral kaons are important historically for their part in advancing our understanding of quark processes. When first discovered in the late 1940s they were labelled the t and q mesons, and their decay was a great mystery, labelled the t-q puzzle.

The particles werefound to be identical in mass, and the only thing which apparently differentiated them was their decay processes and the fact that the two different sets of decay products had different parity.

Particle decays by the strong or electromagnetic interactions had been observed to conserve parity in their decays. Theoretical physicists T. D. Lee and C. N. Yang proposed in 1956 that parity need not be conserved in weak interaction decays. In 1957 Chien-Shiung Wu showed this violation of parity conservation in the beta decay of cobalt. Even with the violation of parity, it was thought that the combination of charge conjugation and parity would leave the system invariant (CP invariance). An experiment by Cronin and Fitch in 1964 showed that there was a small CP violation in the kaon decay, so the kaon has played a central role in the discussions of these symmetries since that time.

When Rochester and Butler discovered the short-lived version of the neutral kaon in 1946, they did so by observing a characteristic "V" pattern in a cloud chamber. The decay they saw was

The neutral kaon did not leave a track in the cloud chamber, but the "V" track of pions revealed its presence upon decay.

See strange particles

This information was taken from: http://hyperphysics.phy-astr.gsu.edu/hbase/particles/kaon.html - an excellent site but a bit above what we need for 'A' level.