Discuss how we know that \[{\rm{\pi }}\]-mesons\[\left( {{{\rm{\pi }}^{\rm{ + }}}{\rm{,\pi ,}}{{\rm{\pi }}^{\rm{0}}}} \right)\]) are not fundamental particles and are not the basic carriers of the strong force.

Short Answer

Expert verified

\[{\rm{\pi }}\]-mesons \[\left( {{{\rm{\pi }}^{\rm{ + }}}{\rm{,\pi ,}}{{\rm{\pi }}^{\rm{0}}}} \right)\] are by product particle and lack quark and an anti-quark of strangeness, also these particles are unstable.

Step by step solution

01

Definition of Concept

The interplay of physical forces, such as electromagnetism and maybe even gravity, is controlled by bosons, which are sometimes referred to as force particles.

02

Explain how we know that \[{\rm{\pi }}\]-mesons \[\left( {{{\rm{\pi }}^{\rm{ + }}}{\rm{,\pi ,}}{{\rm{\pi }}^{\rm{0}}}} \right.\]) are not fundamental particles

These particles don't have strange quarks or antiquarks, and they're not fundamental particles because they're usually produced as a byproduct of various decays.

The strong nuclear force interacts with mesons, including\[{\rm{\pi }}\]-mesons\[\left( {{{\rm{\pi }}^{\rm{ + }}}{\rm{,\pi ,}}{{\rm{\pi }}^{\rm{0}}}} \right)\], which are made up of a quark and an anti-quark pair. However, because they contain a particle and an antiparticle to produce particles like neutrinos, photons, and electrons, they are unstable. As a result, these aren't the actual carriers of strong force.\[{{\rm{\pi }}^{\rm{ + }}}\]Mesonudand it carries a total charge of\[{\rm{2/3q + 1/3q = q}}\]. As a result, its baryon number is zero. It has a very long half-life. Despite the fact that it is made up of matter and antimatter, different flavour quarks exist, and the weak force can decay a particle by changing its flavour.

Therefore, the\[{\rm{\pi }}\]-mesons\[\left( {{{\rm{\pi }}^{\rm{ + }}}{\rm{,\pi ,}}{{\rm{\pi }}^{\rm{0}}}} \right)\]are by product particles that lack a quark and an anti-quark of strangeness, as well as being unstable.

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Most popular questions from this chapter

One of the decay modes of the omega minus is \({\Omega ^ - } \to {\Xi ^0} + {\pi ^ - }\).

(a) What is the change in strangeness?

(b) Verify that baryon number and charge are conserved, while lepton numbers are unaffected.

(c) Write the equation in terms of the constituent quarks, indicating that the weak force is responsible.

Accelerators such as the Triangle Universities Meson Facility (TRIUMF) in British Columbia produce secondary beams of pions by having an intense primary proton beam strike a target. Such "meson factories" have been used for many years to study the interaction of pions with nuclei and, hence, the strong nuclear force. One reaction that occurs is\({{\rm{\pi }}^{\rm{ + }}}{\rm{ + p}} \to {{\rm{\Delta }}^{{\rm{ + + }}}} \to {{\rm{\pi }}^{\rm{ + }}}{\rm{ + p}}\), where the \({{\rm{\Delta }}^{{\rm{ + + }}}}\)is a very short-lived particle. The graph in Figure \({\rm{33}}{\rm{.26}}\)shows the probability of this reaction as a function of energy. The width of the bump is the uncertainty in energy due to the short lifetime of the\({{\rm{\Delta }}^{{\rm{ + + }}}}\).

(a) Find this lifetime.

(b) Verify from the quark composition of the particles that this reaction annihilates and then re-creates a d quark and a \({\rm{\bar d}}\)antiquark by writing the reaction and decay in terms of quarks.

(c) Draw a Feynman diagram of the production and decay of the \({{\rm{\Delta }}^{{\rm{ + + }}}}\)showing the individual quarks involved.

What evidence is cited to support the contention that the gluon force between quarks is greater than the strong nuclear force between hadrons? How is this related to color? Is it also related to quark confinement?

A virtual particle having an approximate mass of \[{\rm{1}}{{\rm{0}}^{{\rm{14}}}}{\rm{GeV/}}{{\rm{c}}^{\rm{2}}}\]may be associated with the unification of the strong and electroweak forces. For what length of time could this virtual particle exist (in temporary violation of the conservation of mass-energy as allowed by the Heisenberg uncertainty principle)?

The 3.20 - km - longSLAC produces a beam of 50 GeV electrons. If there are 15,000 accelerating tubes, what average voltage must be across the gaps between them to achieve this energy?

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