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Title: How the axial anomaly controls flavor mixing among mesons

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:
Report Number(s):
BNL-207869-2018-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:
SC0012704
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)
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
OSTI Identifier:
1438293
Alternate Identifier(s):
OSTI ID: 1462430