Question

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	${\Omega }^{-}$	-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

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.