chap45, p45 020

background image

20. The formula for T

z

as it is usually written to include strange baryons is T

z

= q

(S + B)/2. Also, we

interpret the symbol q in the T

z

formula in terms of elementary charge units; this is how q is listed in

Table 45-3. In terms of charge q as we have used it in previous chapters, the formula is T

z

=

q
e

1
2

(B +S).

For instance, T

z

= +

1
2

for the proton (and the neutral Xi) and T

z

=

1
2

for the neutron (and the negative

Xi). The baryon number B is

+

1 for all the particles in Fig. 45-4(a). Rather than use a sloping axis

as in Fig. 45-4 (there it is done for the q values), one reproduces (if one uses the “corrected” formula
for T

z

mentioned above) exactly the same pattern using regular rectangular axes (T

z

values along the

horizontal axis and Y values along the vertical) with the neutral lambda and sigma particles situated at
the origin.


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