# Conserving angular momentum in elementary decay/reaction

I am trying to understand how to conserve angular momentum in a elementary decay/reaction.

Consider the elementary reaction:

$$K^{-}(J = 0) +p(J = 1/2) ~\to~ \Omega^{-}(J = 3/2) + K^{+}(J = 0) + K^{0}(J=0)$$

We can see that net angular momentum is increased by one unit. So as per angular momentum conservation law this reaction should not be allowed.But, I know that this is allowed with explanation given that extra one unit angular momentum being taken care by orbital angular momentum. If that is the case than this conservation law for angular momentum will be redundant as we can argue for any change in angular momentum being taken care of by change in orbital angular momentum.

If any change in angular momentum is allowed how much can be adjusted for orbital angular momentum?

• "If any change in angular momentum is allowed" Angular momentum is quantized at this level of interactions. Commented Nov 13, 2020 at 6:29
• Orbital angular momentum may be integer, but not half integer. So the addition rules are meaningful and consequential. Commented Nov 10, 2022 at 22:20