12.12.2012 Views

Subatomic Physics

Subatomic Physics

Subatomic Physics

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

346 The Weak Interaction<br />

ones for hypercharge-conserving decays. We shall return to this discrepancy in Section<br />

11.9 and show that it has an explanation within the framework of the weak<br />

current–current interaction.<br />

Parity violation has already been treatedinSection9.3;theelectromagnetic and<br />

the hadronic force conserve parity, but a violation appears in the weak one. The<br />

example discussed in Section 9.3 was a semileptonic decay. The original evidence<br />

for parity nonconservation came from the decay of the charged kaons into two and<br />

three pions; these weak decays involve hadrons. In the next section we shall show<br />

that the purely leptonic decay of the muon also does not conserve parity. These<br />

examples indicate that the various processes all violate parity conservation. This<br />

fact alone would not justify classing them all into one category. However, it indicates<br />

a similarity in the form of the interaction that causes these decays, and it supports<br />

the conclusion already reached from a consideration of the lifetimes.<br />

Conservation of strangeness or hypercharge in the hadronic and the electromagnetic<br />

interaction was postulated in Eq. (7.42). The examples of weak decays<br />

discussedinSection7.5andinthepresent section indicate that many cases are<br />

known where the strangeness changes by one unit; no case has been found where a<br />

change of two units occurs. The selection rule for strangeness,<br />

∆S = 0 in hadronic and electromagnetic interaction<br />

∆S =0, ±1 in the weak interaction, (11.33)<br />

thus establishes another characteristic feature of the weak interaction.<br />

11.5 The Muon Decay<br />

In the previous section we have surveyed weak processes, and we have partially answered<br />

the first question posed at the end of Section 11.3, namely what phenomena<br />

are described by Hw. The form of the weak current and the value of the weak<br />

coupling constant remain to be studied. We can expect that the fundamental features<br />

of the weak interaction will be easiest to explore in purely leptonic processes<br />

because no serious interference from the hadronic force is present there. In this<br />

section, the salient features of the much studied muon decay will be described. The<br />

decay of the tau is very similar, but it can decay into either muons or electrons.<br />

Muons and taus do not interact strongly, and it is consequently not possible<br />

to produce them directly and copiously through a reaction. However, the decay of<br />

charged pions is a convenient source of muons. Assume, for instance, that positive<br />

pions are produced at an accelerator. The pions are selected in a pion channel and<br />

slowed down in an absorber (Fig. 11.7). If their energy is not too high they usually<br />

come to rest before decaying through the mode<br />

π + −→ µ + νµ. (11.34)

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!