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Subatomic Physics

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344 The Weak Interaction<br />

Table 11.2: Decay Properties of Three Semileptonic Decays.<br />

Spin-parity t 1/2 † Emax ft 1/2<br />

Decay Sequence (sec) (MeV) (sec)<br />

π ± → π0eν 0− → 0− 1.76 4.1 3.1 × 103 n0 → pe¯ν<br />

1 + 1 +<br />

→ 2 2 612 0.78 1.1 × 103 Σ− → Λ0e− ¯ν<br />

1 + 1 +<br />

→ 2 2 1.8 × 10−6 81 6 × 103 † Partial half-life.<br />

are necessary to explore some of the properties. Weak decays with such energies are<br />

very difficult to observe because a state with very high excitation generally decays<br />

hadronically or electromagnetically, so that the weak interaction cannot compete.<br />

An example is the ψ/J and its excited states with energies in excess of 3 GeV. Even<br />

though selection rules slow down the decay into hadrons, the contribution from the<br />

weak interaction to the decay is so small that it has not yet been observed. At much<br />

higher energies, the situation is even more unfavorable.<br />

One of the best ways of studying the high energy behavior of the weak interaction<br />

is through semileptonic neutrino-induced reactions such as<br />

and deep inelastic scattering<br />

νµn −→ µ − p, νµp −→ νµp<br />

¯νµp −→ µ + n, νµp −→ νµnπ + ,<br />

νµp −→ νµX,<br />

−→ µ −X, (11.29)<br />

(11.30)<br />

where X is any particle or particles.<br />

The reactions in the first column of Eq. (11.29) involve charged weak currents<br />

and the exchange of a W ± , the ones in the right column require neutral weak<br />

currents and the exchange of a Z 0 . The reactions of the types shown in Eqs. (11.29)<br />

and (11.30) have helped to validate the Weinberg–Salam (WS) theory, and have<br />

been used to obtain structure functions. They will be discussed in more detail<br />

below and in Section 11.14.<br />

In the semileptonic processes listed so far, the weak decays have not involved a<br />

change of strangeness. True, the decay Σ + → Λ 0 e + ν in Table 11.2 involves strange<br />

particles, but the hadrons in the initial and final states have the same strangeness.<br />

We have, however, mentioned in Section 7.5 that strangeness or hypercharge is not<br />

necessarily conserved in the weak interaction. Indeed, strangeness-changing weak<br />

decays exist, and three are listed in Table 11.3. They are all mediated by charged<br />

currents. No strangeness-changing decays or reactions that occur through neutral<br />

weak currents have been observed; for instance, the decay Λ 0 → ne + e − is absent.

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