Chapter 44: Q20P (page 1364)

There are baryons with spin .Their symbols and quantum numbers for charge and strangeness are as follows:

q S
q S
$∆^{-}$ -1 0 $\sum_{}^{* 0}$
0 -1
$∆^{0}$ 0 0 $\sum_{}^{* +}$ +1 -1
$∆^{+}$
+1 0 $\equiv^{* 0}$ -1 -2
$∆^{+ +}$ +2 0 $\equiv^{* 0}$ 0 -2
$\sum_{}^{* -}$ -1 -1 $Ω^{-}$ -1 -3
Make a charge–strangeness plot for these baryons, using the sloping coordinate system of Fig. 44-3. Compare your plot with this figure.

Short Answer

Expert verified

The plot is as follows

The plot is in the shape of a triangle instead of an octagon and is called the ten-fold way.

Step by step solution

Given data

The charge and strangeness of all the spin $\frac{3}{2}$ baryons are provided

Determine the charge-strangeness plot

The charge-strangeness plots of the spin $\frac{1}{2}$ baryons and the spin $0$ mesons are as follows:

Figure 1

Figure 2

Determine the charge-strangeness plot of spin 32 baryons

Figure 2. In this case there will be four strangeness axes instead of three with values The charge-strangeness plot of spin $\frac{3}{2}$ baryons can be drawn following Figure 1 and $0, - 1, - 2, - 3$ and $- 1, 0, 1, 2$ also four charge axes with values . The resulting plot is as follows:

This is in the shape of a triangle instead of an octagon and is called the ten-fold way.

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Short Answer

Step by step solution

Given data

Determine the charge-strangeness plot

Determine the charge-strangeness plot of spin 32 baryons

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	q	S		q	S
$∆^{-}$	-1	0	$\sum_{}^{* 0}$	0	-1
$∆^{0}$	0	0	$\sum_{}^{* +}$	+1	-1
$∆^{+}$	+1	0	$\equiv^{* 0}$	-1	-2
$∆^{+ +}$	+2	0	$\equiv^{* 0}$	0	-2
$\sum_{}^{* -}$	-1	-1	$Ω^{-}$	-1	-3