# 56. International Winter Meeting on Nuclear Physics

22-26 January 2018
Bormio, Italy
Europe/Berlin timezone

## Decays of Vector Glueball in a Chiral Approach

22 Jan 2018, 17:33
3m
Bormio, Italy

### Speaker

Ms Julia Sammet (Goethe University Frankfurt)

### Description

We calculate two- and three-body decays of the (lightest) vector glueball into (pseudo)scalar, (axial-)vector, as well as pseudovector and excited vector mesons in the framework of an effective model of QCD. While absolute values of widths cannot be predicted because the corresponding coupling constants are unknown, some interesting branching ratios can be evaluated by setting the mass of the yet hypothetical vector glueball to $3.8$ GeV as predicted by quenched Lattice QCD. We find that the decay mode $\omega\pi\pi$ should be one of the largest (both through the decay chain $\mathcal{O}\rightarrow b_{1}\pi\rightarrow$ $\omega\pi\pi$ and through the direct coupling $\mathcal{O}\rightarrow\omega\pi\pi$)$.$ Similarly, the (direct and indirect) decay into $\pi KK^{\ast}(892)$ is sizable. Moreover, the decays into $\rho\pi$ and $K^{\ast}(892)K$ are, although subleading, possible and could play a role in explaining the $\rho\pi$ puzzle of the charmonium state $\psi(2S)$ thank to a (small) mixing with the vector glueball. The vector glueball can be directly formed at the ongoing BESIII experiment as well as at the future PANDA experiment at the FAIR facility. [PRD 95, 11.4004 (2017)][1] [1]: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.95.114004

### Summary

We calculate two- and three-body decays of the (lightest) vector glueball into
(pseudo)scalar, (axial-)vector, as well as pseudovector and excited vector
mesons in the framework of an effective model of QCD. While absolute values of widths cannot be predicted because the corresponding coupling constants are unknown, some interesting branching ratios can be evaluated by
setting the mass of the yet hypothetical vector glueball to $3.8$ GeV as
predicted by quenched Lattice QCD. The vector glueball can be directly formed at the ongoing BESIII experiment as well as at the future PANDA experiment at the FAIR facility.

PRD 95, 11.4004 (2017)

### Primary author

Ms Julia Sammet (Goethe University Frankfurt)

### Co-authors

Prof. Francesco Giacosa (Institute of Physics, Jan Kochanowski University,) Dr Stanislaus Janowski (-)

 Slides