https://doi.org/10.1140/epja/i2016-16356-x
Regular Article - Theoretical Physics
Phenomenology of pseudotensor mesons and the pseudotensor glueball
1
Institute for Theoretical Physics, Johann Wolfgang Goethe University, Max-von-Laue-Str. 1, 60438, Frankfurt am Main, Germany
2
Frankfurt Institute for Advanced Studies, Ruth-Moufang-Str. 1, 60438, Frankfurt am Main, Germany
3
Institute of Physics, Jan Kochanowski University, ul. Swietokrzyska 15, 25-406, Kielce, Poland
* e-mail: koenigstein@th.physik.uni-frankfurt.de
Received:
6
September
2016
Accepted:
15
November
2016
Published online:
9
December
2016
We study the decays of the pseudotensor mesons 
interpreted as the ground-state nonet of 
states using interaction Lagrangians which couple them to pseudoscalar, vector, and tensor mesons. While the decays of 
and 
can be well described, the decays of the isoscalar states 
and 
can be brought in agreement with the present experimental data only if the mixing angle between nonstrange and strange states is surprisingly large (about 
, similar to the mixing in the pseudoscalar sector, in which the chiral anomaly is active). Such a large mixing angle is however at odd with all other conventional quark-antiquark nonets: if confirmed, a deeper study of its origin will be needed in the future. Moreover, the assignment of pseudotensor states predicts that the ratio 
is about 23.5. This value is in agreement with Barberis et al., (
), but disagrees with the recent reanalysis of Anisovich et al., (
). Future experimental studies are necessary to understand this puzzle. If Anisovich's value is confirmed, a simple nonet of pseudoscalar mesons cannot be able to describe data (different assignments and/or additional states, such as an hybrid state, will be needed). In the end, we also evaluate the decays of a pseudoscalar glueball into the aforementioned conventional states: a sizable decay into 
and 
together with a vanishing decay into pseudoscalar-vector pairs (such as 
and 
) are expected. This information can be helpful in future studies of glueballs at the ongoing BESIII and at the future PANDA experiments.
© SIF, Springer-Verlag Berlin Heidelberg, 2016
