Spin-vorticity coupling for massive vector mesons

Joseph I. Kapusta; Ermal Rrapaj; Serge Rudaz

doi:10.1103/PhysRevD.102.125028

Spin-vorticity coupling for massive vector mesons

Joseph I. Kapusta, Ermal Rrapaj, Serge Rudaz

Physics and Astronomy (Twin Cities)

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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 language	English (US)
Article number	125028
Journal	Physical Review D
Volume	102
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevD.102.125028
State	Published - Dec 28 2020

Bibliographical note

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.

Access

10.1103/PhysRevD.102.125028

OpenUrl availability

Full text

Cite this

@article{e83518be903d454899e6b5a54bdb95fb,

title = "Spin-vorticity coupling for massive vector mesons",

abstract = "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.",

author = "Kapusta, {Joseph I.} and Ermal Rrapaj and Serge Rudaz",

note = "Publisher Copyright: {\textcopyright} 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.",

year = "2020",

month = dec,

day = "28",

doi = "10.1103/PhysRevD.102.125028",

language = "English (US)",

volume = "102",

journal = "Physical Review D",

issn = "2470-0010",

publisher = "American Physical Society",

number = "12",

}

TY - JOUR

T1 - Spin-vorticity coupling for massive vector mesons

AU - Kapusta, Joseph I.

AU - Rrapaj, Ermal

AU - Rudaz, Serge

N1 - 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.

PY - 2020/12/28

Y1 - 2020/12/28

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85099266043&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85099266043&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.102.125028

DO - 10.1103/PhysRevD.102.125028

M3 - Article

AN - SCOPUS:85099266043

SN - 2470-0010

VL - 102

JO - Physical Review D

JF - Physical Review D

IS - 12

M1 - 125028

ER -

Spin-vorticity coupling for massive vector mesons

Abstract

Bibliographical note

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this