Recent experiments at the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC) have indicated that hadrons containing strange quarks produced in noncentral heavy ion collisions can be polarized. We investigate in detail the coupling of spin and vorticity for electrically neutral, massive vector bosons using the Proca equation, and provide the nonrelativistic reduction of the field equations via a single Foldy-Wouthuysen transformation. We find that the resulting Hamiltonian is not Hermitian, but PT invariant, and involves a spin dependent term 12sz ω to leading order in vorticity. We also calculate further relativistic and quantum corrections to the Hamiltonian.
Bibliographical noteFunding Information:
The work of J. I. K. was supported by the U.S. Department of Energy Grant No. DE-FG02-87ER40328. The work of E. R. was supported by the U.S. National Science Foundation Grant No. PHY-1630782 and by the Heising-Simons Foundation Grant No. 2017-228.