2023 Impact factor 2.6
Hadrons and Nuclei
Eur. Phys. J. A 15, 539-542 (2002)
DOI: 10.1140/epja/i2002-10058-0

$\mth{SU(3)}$ classification of $\mth{p}$-wave $\mth{\eta\pi}$ and $\mth{\eta'\pi}$ systems

S.U. Chung1, E. Klempt2 and J.G. Körner3

1  Physics Department, Brookhaven National Laboratory (S.U. Chung is under contract number DE-AC02-76CH00016 with the U.S. Department of Energy.) , Upton, Long Island, NY 11973, USA
2  Helmholtz-Institut für Strahlen- und Kernphysik, Universität Bonn, Nußallee 12, D-53115 Bonn, Germany
3  Institut für Physik, Universität Mainz, Staudingerweg 7, D-55099 Mainz, Germany

klempt@iskp.uni-bonn.de

(Received: 27 March 2002 / Revised version: 8 August 2002 / Published online: 10 December 2002)

Abstract
An exotic meson, the $\pi_1(1400)$ with JPC=1-+, has been seen to decay into a p-wave $\eta\pi$ system. If this decay conserves flavor SU(3), then it can be shown that this exotic meson must be a four-quark state ( $q\bar q+q\bar q$) belonging to a flavor ${\bf 10}\oplus{\bf\overline{10}}$ representation of SU(3). In contrast, the $\pi_1(1600)$ with a substantial decay mode into $\eta'\pi$ is likely to be a member of a flavor octet.

PACS
14.40.Gx - Mesons with S=C=B=0, mass 2.5 GeV (including quarkonia).

© Società Italiana di Fisica, Springer-Verlag 2002