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8614smith
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Homework Statement
An elementary particle called the omega minus has spin 3/2. Calculate the magnitude of the spin angular momentum for this particle and the possible angles the spin angular momentum vector makes with the z-axis. Does this particle obey Pauli’s exclusion principle?
Homework Equations
[tex]\bar{S}=\sqrt{s(s+1)}\hbar[/tex]
[tex]cos\frac{S_Z}{\bar{S_Z}}[/tex]
The Attempt at a Solution
using the eqn. i get the right answer for S, [tex]\frac{\sqrt{15}}{2}[/tex]
But using the 2nd eqn. i can't get the right angles, the right angles are: 39.2, 75.0, 105.0, 140.8. And why would the particle obey the pauli exclusion principle??