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Problem 32 Medium Difficulty

The quark composition of the proton is uud, whereas that of the neutron is udd. Show that the charge, baryon number, and strangeness of these particles equal the sums of these numbers for their quark constituents.

Answer

We use the property of the up /down quarks: $Charge = +\frac{2}{3}e (\text{up}); -\frac{1}{3}e(\text{down}), Baryon number = \frac{1}{3} (\text{both up/down}), Strangeness = 0 (\text{both up/down})$

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Top Physics 103 Educators
Christina K.

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Video Transcript

this question. We are looking at Proton and neutron where protons head. Given that they're called composition is up, up, down for nutrients. It is up. Don't. Don't you want to confirm that? The question to in clocks give us the property. Steri. No, off this particles. And so the very spot with history. No charge. So did church. Property for proton is plus one for neutron is zero. We know the other property, which deep burial number is plus one plus one for both particles. Finally, de chicness for both off this party goes, you know, zero. All right, so I'm confident that by looking at the constituent clocks that given over here, So the properties off up cock is that yes, a church off plus e. It has also a burial number or the end off. Wanted my positive wanted and strangeness value off zero. Right. So this is for for the up cook for the dunk walk? Yes, a charge off minus one e barrel. Number off +12 strangeness off zero. All right, so now we can actually Coakley, what is the total charge? Bear number. Strangeness for our various I thought a proton Audie So 40 proton is two up quarks. One don't cook. This will give us a charge. Proton, the church is to touch plus two hurts minus one toe. You don't clock and this gives us a lot off. Plus one e. Right. So this is close to the church over here, which is pass one e, right. Sorry. I forgot to ensure that the charts units in terms off E right, the elementary charge for the neutrons. The charge is uptown down. So that's tutors. Class tutors from the up quote minus one toe minus one toe from G Don't clocks and this gives us zero, which corresponds to the zoo. Over here. Bear a number Very simple, both up and don't contribute one. And so all of them add up together one that wanted we don't want it again. You get told off one plus one for both. The East Rations Federal once again, since both off the quarks don't contribute any strangeness value. So any combination off they seek walks up and down will give a strange just very off cereal

National University of Singapore
Top Physics 103 Educators
Christina K.

Rutgers, The State University of New Jersey

Andy C.

University of Michigan - Ann Arbor

Farnaz M.

Other Schools

Aspen F.

University of Sheffield