The Higgs particle has a mass-energy of \(125 \mathrm{GeV} / c^{2}\). Once created it decays very quickly into various sets of particles: for example, about \(60 \%\) of the time it decays into a \((b \bar{b})\) quark- antiquark pair. Such \(b\) quarks have a mass energy of about \(4.2 \mathrm{GeV}\) each. (The \(b\) quarks are also called "bottom" quarks, and the reaction is written \(H ightarrow b \bar{b}\) or simply \(H ightarrow b \bar{b}\) for short.) Suppose a particular Higgs particle is moving at \(v=4 / 5 c\) in the lab, that it decays into a \((b \bar{b})\) pair with the \(b\) quark moving in the forward direction and the \(\bar{b}\) quark moving in the backward direction. Find the energy and momentum in the lab frame of

(a) the \(b\) quark;

(b) the \(\bar{b}\) quark.