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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
∆--10∑*0
0-1
∆000∑*++1-1
∆+
+10≡*0-1-2
∆+++20≡*00-2
∑*--1-1Ω--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

01

Given data

The charge and strangeness of all the spin 32baryons are provided

02

Determine the charge-strangeness plot

The charge-strangeness plots of the spin 12baryons and the spin 0 mesons are as follows:

Figure 1

Figure 2

03

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 32baryons can be drawn following Figure 1 and 0,-1,-2,-3and -1,0,1,2also 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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A particle game.Figure 44-13 is a sketch of the tracks made by particles in a fictionalcloud chamber experiment (with a uniform magnetic field directed perpendicular to the page), and Table 44-6 gives fictionalquantum numbers associated with the particles making the tracks. Particle A entered the chamber at the lower left, leaving track and decaying into three particles. Then the particle creating track 1 decayed into three other particles, and the particle creating track 6 decayed into two other particles, one of which was electrically uncharged—the path of that uncharged particle is represented by the dashed straight line because, being electrically neutral, it would not actually leave a track in a cloud chamber. The particle that created track is known to have a seriousness quantum number of zero.

By conserving the fictional quantum numbers at each decay point and by noting the directions of curvature of the tracks, identify which particle goes with track (a) 1, (b) 2, (c) 3, (d) 4, (e) 5, (f) 6, (g) 7, (h) 8, and (i) 9. One of the listed particles is not formed; the others appear only once each.

Particle

Charge

Whimsy

Seriousness

Cuteness

A

1

1

-2

-2

B

0

4

3

0

C

1

2

-3

-1

D

-1

-1

0

1

E

-1

0

-4

-2

F

1

0

0

0

G

-1

-1

1

-1

H

3

3

1

0

I

0

6

4

6

J

1

-6

-4

-6
See all solutions

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