$f_2(1810)$ as a triangle singularity

Abstract

We perform calculations showing that a source producing $K^{\ast }{\bar{K}}^{\ast }$ in $J=2$ and $L=0$ gives rise to a triangle singularity at $1810$ MeV with a width of about $200$ MeV from the mechanism $K^{\ast }\to \pi K$ and then $K{\bar{K}}^{\ast }$ merging into the $a_1(1260)$ resonance. We suggest that this is the origin of the present $f_2(1810)$ resonance and propose to look at the $\pi a_1(1260)$ mode in several reactions to clarify the issue.

more discussions; version published in Physical Review D

References in corpus (9)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Vector meson-vector meson interaction in a hidden gauge unitary approach
• The Experimental Status of Glueballs
• The ρρinteraction in the hidden gauge formalism and the f_0(1370) and f_2(1270) resonances
• A Discussion on Triangle Singularities in the ${\Lambda }_b\to J/\psi K^{-}p$ Reaction
• On the nature of $a_1(1420)$
• The "$a_1(1420)$" peak as the $\pi f_0(980)$ decay mode of the $a_1(1260)$
• $f_1(1285)$ decays into $a_0(980){\pi }^0$, $f_0(980){\pi }^0$ and isospin breaking
• Role of a triangle singularity in the $\gamma p\to K^{+}\Lambda (1405)$ reaction

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• Abnormal isospin violation and $a_0-f_0$ mixing in the $D_s^{+}\to {\pi }^{+}{\pi }^0{a}_0(980)(f_0(980))$ reactions