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Giacosa, Francesco; Koenigstein, Adrian; Pisarski, Robert D.
Brookhaven National Laboratory (BNL), Upton, NY (United States). Funding organisation: USDOE Office of Science - SC, Nuclear Physics - NP (SC-26) (United States)
arXiv e-print [ PDF ]2018
Brookhaven National Laboratory (BNL), Upton, NY (United States). Funding organisation: USDOE Office of Science - SC, Nuclear Physics - NP (SC-26) (United States)
arXiv e-print [ PDF ]2018
AbstractAbstract
[en] 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.
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Source
BNL--207869-2018-JAAM; OSTIID--1462430; SC0012704; Available from https://www.osti.gov/biblio/1438293; DOE Accepted Manuscript full text, or the publishers Best Available Version will be available free of charge after the embargo period; arXiv:1608.00175
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Journal Article
Journal
Physical Review D; ISSN 2470-0010; ; v. 97(9); vp
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