Chapter 30, Problem 79A

a.

To determine

To Explain:

Charge on baryon with neutron $ddu$ .

Answer to Problem 79A

Charge on baryon with neutron $ddu$ is $0$ .

Explanation of Solution

Introduction:

Baryon is denoted by symbol $B$ .The charge of baryons is $+1$ and hence the charge of anti-baryonsis $-1$ .

Color neutrality is maintained by using $3$ quarks of baryon. They are red, blue and green and with $6$  types of quarks, that is, $216$ possible combinations are achieved.

Baryons cannot be formed by the top quark

Charge on baryon with neutron $ddu$ can be given as,

  $\begin{array}{l}ddu=ch\arg e=\frac{-1e}{3}+\frac{-1e}{3}+\frac{+2e}{3}\\ =0\end{array}$

Conclusion:

Hence, charge on baryon with neutron $ddu$ is $0$ .

b.

To determine

To Explain: Charge on baryon with antiproton $\overline{u}\overline{u}\overline{d}$ .

Answer to Problem 79A

Charge on baryon with antiproton $\overline{u}\overline{u}\overline{d}$ is $-e$ .

Explanation of Solution

Introduction:

Baryon is denoted by symbol B.The charge of baryons is $+1$ and hence the charge of anti-baryons is $-1$ .

Color neutrality is maintained by using $3$ quarks of baryon. They are red, blue and green and with $6$  types of quarks, that is $216$ possible combinations are achieved.

Baryons cannot be formed by the top quark

Charge on baryon with antiproton $\overline{u}\overline{u}\overline{d}$ can be given as,

  $\begin{array}{l}\overline{u}\overline{u}\overline{d}=ch\arg e=\frac{-2e}{3}+\frac{-2e}{3}+\frac{+1e}{3}\\ =-e\end{array}$

Conclusion:

Hence,charge on baryon with antiproton $\overline{u}\overline{u}\overline{d}$ is $-e$ .