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### Fundamentals Of Physics

Book edition 10th Edition
Author(s) David Halliday
Pages 1328 pages
ISBN 9781118230718

# There are baryons with spin .Their symbols and quantum numbers for charge and strangeness are as follows: q S q S $∆{}^{-}$ -1 0 0 -1 $∆{}^{0}$ 0 0 +1 -1 $∆{}^{+}$ +1 0 $\equiv {}^{*0}$ -1 -2 $∆{}^{++}$ +2 0 $\equiv {}^{*0}$ 0 -2 -1 -1 ${\Omega }^{-}$ -1 -3Make a charge–strangeness plot for these baryons, using the sloping coordinate system of Fig. 44-3. Compare your plot with this figure.

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.

See the step by step solution

## Step 1: Given data

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

## Step 2: 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

## Step 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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