Spin-vorticity coupling for massive vector mesons

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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.

Original languageEnglish (US)
Article number125028
JournalPhysical Review D
Issue number12
StatePublished - Dec 28 2020

Bibliographical note

Funding 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.

Publisher Copyright:
© 2020 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.


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