(a) Find the charge, baryon number, strangeness, charm, and bottomness of the particle from its quark composition. (b) Do the same for the particle.
Please see the solution video.
OpenStax College Physics for AP® Courses, Chapter 33, Problem 38 (Problems & Exercises)
This is College Physics Answers with Shaun Dychko. We are going to determine the baryon number, charge, strangeness, charm and bottomness of the J/Ψ particle and then do the same for the Υ particle knowing the constituent quarks for each of these particles. So the J/Ψ particle has a charm matched with a charm anti-quark so the total baryon number is positive of a third for the charm quark and then negative of a third for the charm anti-quark for a total of 0. As for the charge, the charm quark has a positive two-thirds charge whereas the charm anti-quark has a negative two-thirds charge for a total of 0; neither of these quarks have any strangeness, bottomness or topness so those totals are 0 and whereas the charm in the regular charm quark is positive 1 and we have a negative 1 charm in the charm anti-quark for a total of 0. And for the upsilon particle, the bottom quark has a baryon number of positive of a third and the bottom anti-quark has a baryon number of negative of a third for a total of 0 the charge is negative of a third for the bottom regular matter quark... maybe I should write negative a third here to correspond with the first quark and then add to that positive one-third charge for the bottom anti-quark and that total charge is going to be zero. There's no strangeness, charmness or topness for either of these bottom quarks and so that total is 0 and for the bottomness, we have negative a third for the regular matter bottom-quark and positive a third for the bottom anti-quark and that total is 0.