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Chapter 33: Q32PE (page 1213)

The only combination of quark colours that produces a white baryon is RGB. Identify all the colour combinations that can produce a white meson.

Short Answer

Expert verified

All the colour combinations that can produce a white meson is \({\rm{R\bar R, R\bar G, G\bar R, B\bar R, G\bar G, R\bar B, G\bar B, B\bar G, B\bar B}}\).

Step by step solution

01

Concept Introduction

Mesons are hadronic subatomic particles made up of an equal number of quarks and antiquarks, generally one of each, and linked together by strong interactions in particle physics.

A baryon is a form of composite subatomic particle in particle physics that has an odd number of valence quarks.

02

Colour combinations to produce white meson

Figure out the possible colour combinations for meson that can produce white colour. Since, the colours available are Red, Green, and Blue. Knowing that the meson constructs from quark and anti-quark, this gives the following possible combinations 鈥�

\({\rm{R\bar R}}\)

\({\rm{R\bar G}}\)

\({\rm{G\bar R}}\)

\({\rm{B\bar R}}\)

\({\rm{G\bar G}}\)

\({\rm{R\bar B}}\)

\({\rm{G\bar B}}\)

\({\rm{B\bar G}}\)

\({\rm{B\bar B}}\)

Therefore, the colour combination is \({\rm{R\bar R, R\bar G, G\bar R, B\bar R, G\bar G, R\bar B, G\bar B, B\bar G, B\bar B}}\).

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Most popular questions from this chapter

(a) Is a hadron always a baryon?

(b) Is a baryon always a hadron?

(c) Can an unstable baryon decay into a meson, leaving no other baryon?

One decay mode for the eta-zero meson is\({{\rm{\eta }}^{\rm{0}}} \to {\rm{\gamma + \gamma }}\).

(a) Find the energy released.

(b) What is the uncertainty in the energy due to the short lifetime?

(c) Write the decay in terms of the constituent quarks.

(d) Verify that baryon number, lepton numbers, and charge are conserved.

Suppose you are designing a proton decay experiment and you can detect \({\rm{50}}\) percent of the proton decays in a tank of water.

(a) How many kilograms of water would you need to see one decay per month, assuming a lifetime of \({\rm{1}}{{\rm{0}}^{{\rm{31}}}}{\rm{ y}}\)?

(b) How many cubic meters of water is this?

(c) If the actual lifetime is \({\rm{1}}{{\rm{0}}^{{\rm{33}}}}{\rm{ y}}\), how long would you have to wait on an average to see a single proton decay?

Verify the quantum numbers given for the \({{\rm{\Omega }}^{\rm{ + }}}\) in Table \(33.2\) by adding the quantum numbers for its quark constituents as inferred from Table \(33.4\).

The intensity of cosmic ray radiation decreases rapidly with increasing energy, but there are occasionally extremely energetic cosmic rays that create a shower of radiation from all the particles they create by striking a nucleus in the atmosphere as seen in the figure given below. Suppose a cosmic ray particle having an energy of \({\rm{1}}{{\rm{0}}^{{\rm{10}}}}{\rm{ GeV}}\)converts its energy into particles with masses averaging 200 MeV/c2

(a) How many particles are created?

(b) If the particles rain down on an \({\rm{1}}{\rm{.00 - k}}{{\rm{m}}^{\rm{2}}}\) area, how many particles are there per square meter?
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