(Non-)mixing of K vector bosons

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Why don't the vector bosons K(0*) and K-bar(0*) mix the way the pseudo-scalar bosons,
K(0) and K-bar(0) do?
 
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Please calculate the lifetime of the K* in units of the Kshort lifetime. Is the answer obvious now?
 
I don't know how to do the suggested calculation -- I was expecting some sort of selection rule to apply
 
Is the idea that the K* just decays too quickly into Kπ by a strong interaction?
 
Bingo.

And you do know how to do the calculation. Look up both numbers and divide.
 

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