Particle octet

  • Thread starter lark
  • Start date
  • #1
lark
163
0
Would anyone like to tell me if I did this right? see attached .gif. It's an exercise in a book I'm reading, about explaining why there aren't any spin 1/2 particles with uuu, ddd, or sss quarks, 1 each of uud, uus, etc., and 2 of uds quarks: the particle octet.
Laura
 

Attachments

  • 25.6.gif
    25.6.gif
    33.8 KB · Views: 424

Answers and Replies

  • #2
pam
458
1
I can't make out the thumbnail or make sense of it.
You can't have three u quarks in a spin 1/2 state, because the spin 1/2 state has mixed symmetry, and only purely symmetric states are allowed for three identical quarks in a completely symmetric spatial state.
 
  • #3
nrqed
Science Advisor
Homework Helper
Gold Member
3,765
295
Would anyone like to tell me if I did this right? see attached .gif. It's an exercise in a book I'm reading, about explaining why there aren't any spin 1/2 particles with uuu, ddd, or sss quarks, 1 each of uud, uus, etc., and 2 of uds quarks: the particle octet.
Laura

The first statement makes no sense. You say that quarks follow Bose statistics even though they are fermions!:yuck:

Of course they follow Fermi-Dirac statistics!
But it's a bit complicated because the total wavefunction has a spin dependence, a spatial dependence but a colour dependence as well. All this must be taken into account.
 
  • #4
lark
163
0
The first statement makes no sense. You say that quarks follow Bose statistics even though they are fermions
That exercise is before the book talks about color, it just says the quarks (appear to) follow boson statistics.

Other than that, which is kind of a minor point, does anyone have any comments? Are the wavefunctions for the particles with uds quarks right? That was mostly what I was asking about, because I just came up with a couple of wavefunctions that are linearly independent and look nice and symmetrical.

Laura
 
Last edited:

Suggested for: Particle octet

  • Last Post
Replies
1
Views
268
  • Last Post
Replies
21
Views
471
  • Last Post
Replies
13
Views
450
Replies
6
Views
455
Replies
27
Views
796
Replies
38
Views
899
Replies
8
Views
399
Replies
17
Views
831
Replies
10
Views
638
Top