91Ó°ÊÓ

Consider thedecay ${\mathit{Âì}}^{\mathbf{0}}\mathbf{→}\mathit{p}\mathbf{+}{\mathit{Ï€}}^{\mathbf{−}}$withthe${\mathit{Âì}}^{\mathbf{0}}$ at rest. (a) Calculate the disintegration energy. What is the kinetic energy of (b) the proton and (c) the pion?

The spin- $\frac{\mathbf{3}}{\mathbf{2}}{\mathit{Î\pounds }}^{\mathbf{*}\mathbf{0}}$baryon(see table in Problem 24) has a rest energy of ($\mathbf{1385}\mathbf{\text{ }}\mathit{M}\mathit{e}\mathit{V}$with an intrinsic uncertainty ignored here); the spin$\frac{1}{2}{\mathbf{Î\pounds }}^0$- baryonhas a rest energyof.$\mathbf{1192}\mathbf{.}\mathbf{5}\text{ }\mathbf{MeV}$If each of these particles has a kinetic energy of $\mathbf{1000}\mathbf{\text{ }}\mathbf{MeV}$,

(a) which is moving faster and

(b) by how much?

The quark makeups of the proton and neutron are $\mathit{u}\mathit{u}\mathit{d}$and,$\mathit{u}\mathit{d}\mathit{d}$respectively. What are the quark makeups of (a) the antiproton and (b) the antineutron?

From tables 44-3 and 44-5, determine the identity of the baryon formed from quarks (a),$\mathit{d}\mathit{d}\mathit{u}$(b),$\mathit{u}\mathit{u}\mathit{s}$and (c)$\mathit{s}\mathit{s}\mathit{d}$.Check your answers against the baryon octet shown in Fig 44-3a.

What is the quark makeupof.${\stackrel{\mathbf{¯}}{\mathbf{K}}}^{\mathbf{0}}$

What quark combination is needed to form (a) and (b)${\mathit{Ε}}^{\mathbf{0}}$

Which hadron in Tables 44-3 and 44-4 corresponds to the quark bundles (a) ssu and (b) the dds?

Certain theories predict that the proton is unstable, with a half-life of about 10³² years. Assuming that this is true, calculate the number ofproton decays you would expect to occur in one year in the water ofan Olympic-sized swimming pool holding 4.32 x 10⁵L of water.

Which of the eight pions in Fig. 44-2bhas the least kinetic energy?

Using the up, down and strange quarks only, construct, if possible, a baryon (a) with$\mathit{q}\mathbf{=}\mathbf{+}\mathbf{1}$ and strangeness $\mathit{S}\mathbf{=}\mathbf{−}\mathbf{2}$and (b) with$\mathit{q}\mathbf{=}\mathbf{+}\mathbf{2}$ and strangeness, $\mathit{S}\mathbf{=}\mathbf{0}$.