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Fundamentals Of Physics
Found in: Page 1365

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Short Answer

There is no known meson with charge quantum number q=+1 and strangeness S=-1 or with q=-1 and .S=+1 Explain why in terms of the quark model.

Mesons with strangeness S=-1 can have chargeq=-1,0 and those strangeness role="math" localid="1663136410092" S=+1 can have charge q=1,0

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Step by Step Solution

Step 1: Given data

No meson has charge q=+1and strangeness S=1 or chargeq=1 and strangeness.S=+1

Step 2: Quantum numbers of quarks

The up, charm and top quarks and chargeq=2/3 and the down, strange and bottom quarks have charge q=1/3. The anti quarks have negative charges with magnitude same as those of the respective quarks. Only the strange quark has strangenessS=1 and the anti strange has strangeness.S=1 The rest of the quarks have zero strangeness.

Step 3: Determining the reason why mesons don't have charge q=+1  and strangeness S=-1  or chargeq=-1   and strangeness  S=+1

A meson is made up of one quark and one anti-quark. For a meson to have strangeness,S=1 it must have a strange quark. The accompanying anti-quark can be anything except an anti-strange. If the anti-quark is an anti-up, anti-charm or anti-top, the net charge of the meson will be.2313=1 If the anti-quark is an anti-down or anti-bottom the net charge of the meson will be.1313=0 Thus, charge q=+1and strangeness S=1 is not possible.

For a meson to have strangenessS=1, it must have an anti-strange quark. The accompanying quark can be anything except a strange quark. If the quark is a up quark, a charm or a top, the net charge of the meson will be23+13=1 . If the quark is a down or a bottom the net charge of the meson will be13+13=0. Thus, chargeq=1 and strangeness is S=+1not possible.

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