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Title: How the axial anomaly controls flavor mixing among mesons

Abstract

Here, it is well known that, because of the axial anomaly in QCD, mesons with J P = 0 are close to SU(3) V eigenstates; the η'(958) meson is largely a singlet, and the η meson an octet. In contrast, states with J P = 1 are flavor diagonal; e.g., the Φ(1020) is almost pure ¯ss. Using effective Lagrangians, we show how this generalizes to states with higher spin, assuming that they can be classified according to the unbroken chiral symmetry of G fl = SU(3) L × SU(3) R. We construct effective Lagrangians from terms invariant under G fl and introduce the concept of hetero- and homochiral multiplets. Because of the axial anomaly, only terms invariant under the Z(3) A subgroup of the axial U(1) A enter. For heterochiral multiplets, which begin with that including the η and η'(958), there are Z(3) A invariant terms with low mass dimension which cause states to mix according to SU(3) V flavor. For homochiral multiplets, which begin with that including the Φ(1020), there are no Z(3) A invariant terms with low mass dimension, and so states are diagonal in flavor. In this way, we predict the flavor mixing for themore » heterochiral multiplet with spin 1 as well as for hetero- and homochiral multiplets with spin 2 and spin 3.« less

Authors:
 [1];  [2];  [3]
  1. Jan Kochanowski Univ., Kielce (Poland); Johann Wolfgang Goethe Univ., Frankfurt am Main (Germany)
  2. Johann Wolfgang Goethe Univ., Frankfurt am Main (Germany)
  3. Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1438293
Alternate Identifier(s):
OSTI ID: 1462430
Report Number(s):
BNL-207869-2018-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; TRN: US1902172
Grant/Contract Number:  
SC0012704
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 97; Journal Issue: 9; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Giacosa, Francesco, Koenigstein, Adrian, and Pisarski, Robert D. How the axial anomaly controls flavor mixing among mesons. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.97.091901.
Giacosa, Francesco, Koenigstein, Adrian, & Pisarski, Robert D. How the axial anomaly controls flavor mixing among mesons. United States. doi:10.1103/PhysRevD.97.091901.
Giacosa, Francesco, Koenigstein, Adrian, and Pisarski, Robert D. Tue . "How the axial anomaly controls flavor mixing among mesons". United States. doi:10.1103/PhysRevD.97.091901.
@article{osti_1438293,
title = {How the axial anomaly controls flavor mixing among mesons},
author = {Giacosa, Francesco and Koenigstein, Adrian and Pisarski, Robert D.},
abstractNote = {Here, it is well known that, because of the axial anomaly in QCD, mesons with JP = 0– are close to SU(3)V eigenstates; the η'(958) meson is largely a singlet, and the η meson an octet. In contrast, states with JP = 1– are flavor diagonal; e.g., the Φ(1020) is almost pure ¯ss. Using effective Lagrangians, we show how this generalizes to states with higher spin, assuming that they can be classified according to the unbroken chiral symmetry of Gfl = SU(3)L × SU(3)R. We construct effective Lagrangians from terms invariant under Gfl and introduce the concept of hetero- and homochiral multiplets. Because of the axial anomaly, only terms invariant under the Z(3)A subgroup of the axial U(1)A enter. For heterochiral multiplets, which begin with that including the η and η'(958), there are Z(3)A invariant terms with low mass dimension which cause states to mix according to SU(3)V flavor. For homochiral multiplets, which begin with that including the Φ(1020), there are no Z(3)A invariant terms with low mass dimension, and so states are diagonal in flavor. In this way, we predict the flavor mixing for the heterochiral multiplet with spin 1 as well as for hetero- and homochiral multiplets with spin 2 and spin 3.},
doi = {10.1103/PhysRevD.97.091901},
journal = {Physical Review D},
number = 9,
volume = 97,
place = {United States},
year = {2018},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.97.091901

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Cited by: 5 works
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