Spin-1 quarkonia in a rotating frame and their spin contents

We propose a new way of studying the spin content hadron by looking at its response in rotating frame. By collecting all responses quarks and gluons frame, we describe spin-rotation coupling spin-1 quarkonia thereby reveal their contents relativistic formalism. demonstrate that both perturbative non-perturbative contributions operator product expansion follow universal formula identifies with unit strength. This allows us to recognize total vector axial terms angular momentum gluons. Specifically, find J/ψ, χc1, ϒ(1S), χb1 are slightly different from naive quark model picture. For example, J/ψ is traditionally considered as an S-wave particle, but do not carry spin.