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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

(a) Show that the conjectured decay of the proton, \({\rm{p}} \to {\pi ^{\rm{0}}}{\rm{ + }}{{\rm{e}}^{\rm{ + }}}\), violates conservation of baryon number and conservation of lepton number.

(b) What is the analogous decay process for the antiproton?

In supernovas, neutrinos are produced in huge amounts. They were detected from the \({\rm{1987 A}}\) supernova in the Magellanic Cloud, which is about \({\rm{120,000}}\) light years away from the Earth (relatively close to our Milky Way galaxy). If neutrinos have a mass, they cannot travel at the speed of light, but if their mass is small, they can get close.

(a) Suppose a neutrino with a \({\rm{7 - eV/}}{{\rm{c}}^{\rm{2}}}\) mass has a kinetic energy of \({\rm{700 KeV}}\). Find the relativistic quantity \(\gamma {\rm{ = }}\frac{{\rm{1}}}{{\sqrt {{\rm{1 - }}{{{{\rm{\nu }}^{\rm{2}}}} \mathord{\left/ {\vphantom {{{{\rm{\nu }}^{\rm{2}}}} {{{\rm{c}}^{\rm{2}}}}}} \right. \\} {{{\rm{c}}^{\rm{2}}}}}} }}\) for it.

(b) If the neutrino leaves the \({\rm{1987 A}}\) supernova at the same time as a photon and both travel to Earth, how much sooner does the photon arrive? This is not a large time difference, given that it is impossible to know which neutrino left with which photon and the poor efficiency of the neutrino detectors. Thus, the fact that neutrinos were observed within hours of the brightening of the supernova only places an upper limit on the neutrinoโ€™s mass. (Hint: You may need to use a series expansion to find \({\rm{v}}\) for the neutrino, since it \(\gamma \) is so large.)

(a) What is the uncertainty in the energy released in the decay of a \({{\rm{\pi }}^{\rm{0}}}\)due to its short lifetime?

(b) What fraction of the decay energy is this, noting that the decay mode is \({{\bf{\pi }}^{\bf{0}}} \to {\bf{\gamma }}{\rm{ }} + {\rm{ }}{\bf{\gamma }}\) (so that all the \({\rm{\pi ^0}}\)mass is destroyed)?

Theorists have had spectacular success in predicting previously unknown particles. Considering past theoretical triumphs, why should we bother to perform experiments?

(a) Verify from its quark composition that the \({\rm{\Delta + }}\)particle could be an excited state of the proton.

(b) There is a spread of about \({\rm{100 MeV}}\) in the decay energy of the \({\rm{\Delta + }}\), interpreted as uncertainty due to its short lifetime. What is its approximate lifetime?

(c) Does its decay proceed via the strong or weak force?

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