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11.4. A Variety of Weak Processes 345<br />

Table 11.3: Strangeness-Changing Semileptonic Decays.<br />

Spin-parity Sequence t 1/2 † Emax(e) ft 1/2<br />

Decay (of hadron) (sec) (MeV) (sec)<br />

K + → π0e + νe 0− → 0− 1.8 × 10−7 358 1 × 106 Λ0 → pe−¯νe 1 + 1 +<br />

→ 2 2 2.2 × 10−7 177 2 × 104 Σ− → ne−¯νe 1 + 1 +<br />

→ 2 2 1.0 × 10−7 257 1 × 105 † Partial half-life.<br />

Hadronic Processes Examples of weak decays in which only hadrons are involved<br />

are<br />

and<br />

K + −→ π + π 0<br />

−→ π + π + π −<br />

−→ π + π 0 π 0<br />

Λ 0 −→ pπ −<br />

−→ nπ 0<br />

(11.31)<br />

(11.32)<br />

Other weak decays involving only hadrons can be found in the tables of PDG. All<br />

of these obey the strangeness selection rule<br />

|∆S| =1.<br />

The absence of observed ∆S = 0 transitions is easily explained: transitions<br />

without change of strangeness can proceed by hadronic or electromagnetic decays,<br />

and the weak branch is hidden.<br />

Why are all the processes listed in the present section called weak, regardless of<br />

whether they involve leptons, hadrons, or both? The justification comes from the<br />

fact that the strength of the interaction responsible for the various processes appears<br />

to be the same. Additional support comes from considerations of selection rules<br />

and from the observation that all processes that are weak according to the strength<br />

classification also show violations of parity and charge conjugation invariance.<br />

The strength of the interaction responsible for a decay expresses itself in the lifetime,<br />

other things being equal. The decays in Table 11.2 are of the type A → Beν.<br />

While the decay energies vary by about a factor of 100 and the density-of-states<br />

factors by a factor of 10 10 ,theft values are approximately the same. It is therefore<br />

likely that the three very different decays in Table 11.2 are caused by the same force.<br />

A discrepancy appears when the ft values in Table 11.2 and 11.3 are compared.<br />

While the decays appear to be similar, the ft values for hypercharge-changing decays<br />

are between one and three orders of magnitude larger than the corresponding

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