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

Abstract

We propose a new way of studying the spin content of a hadron by looking at its response in a rotating frame. By collecting all responses of quarks and gluons in a rotating frame, we describe the spin-rotation coupling of spin-1 quarkonia and thereby reveal their spin contents in a relativistic formalism. We demonstrate that both the perturbative and non-perturbative contributions in the operator product expansion follow a universal formula that identifies the spin-rotation coupling with unit strength. This allows us to recognize the total spin-1 of the vector and axial vector quarkonia in terms of the total angular momentum of quarks and gluons. Specifically, we find the spin contents of $J/\psi$, ${\chi }_{c1}$, ${\rm Y}(1S)$, and ${\chi }_{b1}$ are slightly different from the naive quark model picture. For example, the $J/\psi$ is traditionally considered as an S-wave particle, but we find quarks do not carry all of the total spin.

5 pages, 2 figures

References in corpus (5)

• Angular momentum conservation in heavy ion collisions at very high energy
• Polarization probes of vorticity in heavy ion collisions
• The ideal relativistic spinning gas: polarization and spectra
• Anomalous gravitomagnetic moment and non-universality of the axial vortical effect at finite temperature
• Spin-Vorticity Coupling for Massive Vector Mesons

Cited by in corpus (1)

• Spin alignment of vector mesons by glasma fields