The spin of quarks in an H dibaryon

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The discussion centers on the spin characteristics of the H dibaryon, composed of quarks uuddss, which has a total spin of zero and relative angular momentum of zero. Participants explore the implications of combining spins from pairs of particles, specifically how pairs of spins with values of 1 can yield a total spin of zero. The conversation highlights the confusion surrounding the addition of integer spins and the application of the Pauli exclusion principle in this context.

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Keru
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I have some difficulties interpreting an exercise. It states that the dibaryon H is made of uuddss, with total spin zero, and relative angular momentum 0 as well. It then proceeds to use that the spin of every pair of particles uu, dd, and ss is equal to 1. Why is that the case?
It seems obvious that spin doesn't have to be necessarily zero, since these particles can carry different colors and therefore not violate Pauli's exclusion principle. But why can't it be zero? And how can the total spin be zero, if I have an odd number of integer spins?
 
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Can you please post the complete question?

And how can the total spin be zero, if I have an odd number of integer spins?

Let's ask a simpler problem. Suppose I add two J=1 spins. Can I get total J=1? How?
 

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