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Identification of θ [ f 2 ( 1720 ) ] as a tensor glueball

1989; American Physical Society; Volume: 40; Issue: 11 Linguagem: Inglês

10.1103/physrevd.40.3648

1538-4500

K. F. Liu, B. A. Li, K. Ishikawa,

Black Holes and Theoretical Physics

By incorporating a soft form factor, we show that $\ensuremath{\theta}[{f}_{2}(1720)]$ has flavor-independent decays to $K\overline{K}$, $\ensuremath{\eta}\ensuremath{\eta}$, and $\ensuremath{\pi}\ensuremath{\pi}$. The same form factor is needed to understand the suppression of $\ensuremath{\theta}$ in ${K}^{\ensuremath{-}}p\ensuremath{\rightarrow}\ensuremath{\Lambda}{K}_{S}^{0}{K}_{S}^{0}$ as well as its emergence in the central productions of $\ensuremath{\pi}p\ensuremath{\rightarrow}\ensuremath{\pi}({K}^{+}{K}^{\ensuremath{-}})p$ and $\mathrm{pp}\ensuremath{\rightarrow}p({K}^{+}{K}^{\ensuremath{-}})p$. This flavor-symmetric feature of $\ensuremath{\theta}$ is further enhanced by comparing ${f}_{2}^{\ensuremath{'}}(1525)$ and $\ensuremath{\theta}$ in $\frac{J}{\ensuremath{\psi}}$ decays to $\ensuremath{\gamma}K\overline{K}$, $\ensuremath{\omega}K\overline{K}$, and $\ensuremath{\varphi}K\overline{K}$. The absence of $\ensuremath{\theta}$ in $\ensuremath{\gamma}\ensuremath{\gamma}\ensuremath{\rightarrow}{K}_{S}^{0}{K}_{S}^{0}$ and ${K}^{\ensuremath{-}}p\ensuremath{\rightarrow}\ensuremath{\Lambda}{K}_{S}^{0}{K}_{S}^{0}$ leads us to conclude that the quark content in $\ensuremath{\theta}$ is very low. With $\ensuremath{\theta}$ shown to be a flavor singlet and void of quarks, we believe that $\ensuremath{\theta}$ could indeed be a tensor glueball, subject to the verification of the soft form factor.